[{"type":"journal_article","publication":"Biosensors and Bioelectronics","volume":267,"citation":{"chicago":"Herdina, Anna Nele, Anil Bozdogan, Patrik Aspermair, Jakub Dostalek, Miriam Klausberger, Nico Lingg, Monika Cserjan-Puschmann, et al. “Bridging Basic Science and Applied Diagnostics: Comprehensive Viral Diagnostics Enabled by Graphene-Based Electronic Biosensor Technology Advancements.” <i>Biosensors and Bioelectronics</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.bios.2024.116807\">https://doi.org/10.1016/j.bios.2024.116807</a>.","ama":"Herdina AN, Bozdogan A, Aspermair P, et al. Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements. <i>Biosensors and Bioelectronics</i>. 2025;267. doi:<a href=\"https://doi.org/10.1016/j.bios.2024.116807\">10.1016/j.bios.2024.116807</a>","mla":"Herdina, Anna Nele, et al. “Bridging Basic Science and Applied Diagnostics: Comprehensive Viral Diagnostics Enabled by Graphene-Based Electronic Biosensor Technology Advancements.” <i>Biosensors and Bioelectronics</i>, vol. 267, 116807, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.bios.2024.116807\">10.1016/j.bios.2024.116807</a>.","ista":"Herdina AN, Bozdogan A, Aspermair P, Dostalek J, Klausberger M, Lingg N, Cserjan-Puschmann M, Aguilar PP, Auer S, Demirtas H, Andersson J, Lötsch F, Holzer B, Steinrigl A, Thalhammer F, Schellnegger J, Breuer M, Knoll W, Strassl R. 2025. Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements. Biosensors and Bioelectronics. 267, 116807.","short":"A.N. Herdina, A. Bozdogan, P. Aspermair, J. Dostalek, M. Klausberger, N. Lingg, M. Cserjan-Puschmann, P.P. Aguilar, S. Auer, H. Demirtas, J. Andersson, F. Lötsch, B. Holzer, A. Steinrigl, F. Thalhammer, J. Schellnegger, M. Breuer, W. Knoll, R. Strassl, Biosensors and Bioelectronics 267 (2025).","ieee":"A. N. Herdina <i>et al.</i>, “Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements,” <i>Biosensors and Bioelectronics</i>, vol. 267. Elsevier, 2025.","apa":"Herdina, A. N., Bozdogan, A., Aspermair, P., Dostalek, J., Klausberger, M., Lingg, N., … Strassl, R. (2025). Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements. <i>Biosensors and Bioelectronics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.bios.2024.116807\">https://doi.org/10.1016/j.bios.2024.116807</a>"},"article_number":"116807","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"doi":"10.1016/j.bios.2024.116807","intvolume":"       267","date_updated":"2025-02-27T12:34:07Z","pmid":1,"oa":1,"scopus_import":"1","publisher":"Elsevier","author":[{"last_name":"Herdina","full_name":"Herdina, Anna Nele","first_name":"Anna Nele"},{"last_name":"Bozdogan","full_name":"Bozdogan, Anil","first_name":"Anil"},{"last_name":"Aspermair","first_name":"Patrik","full_name":"Aspermair, Patrik"},{"last_name":"Dostalek","first_name":"Jakub","full_name":"Dostalek, Jakub"},{"first_name":"Miriam","full_name":"Klausberger, Miriam","last_name":"Klausberger"},{"full_name":"Lingg, Nico","first_name":"Nico","last_name":"Lingg"},{"last_name":"Cserjan-Puschmann","full_name":"Cserjan-Puschmann, Monika","first_name":"Monika"},{"first_name":"Patricia Pereira","full_name":"Aguilar, Patricia Pereira","last_name":"Aguilar"},{"last_name":"Auer","first_name":"Simone","full_name":"Auer, Simone"},{"last_name":"Demirtas","full_name":"Demirtas, Halil","first_name":"Halil"},{"full_name":"Andersson, Jakob","id":"3a5f4167-9bd9-11ed-bd12-a1446d38776f","first_name":"Jakob","last_name":"Andersson"},{"last_name":"Lötsch","first_name":"Felix","full_name":"Lötsch, Felix"},{"last_name":"Holzer","full_name":"Holzer, Barbara","first_name":"Barbara"},{"last_name":"Steinrigl","first_name":"Adi","full_name":"Steinrigl, Adi"},{"last_name":"Thalhammer","full_name":"Thalhammer, Florian","first_name":"Florian"},{"full_name":"Schellnegger, Julia","first_name":"Julia","last_name":"Schellnegger"},{"last_name":"Breuer","first_name":"Monika","full_name":"Breuer, Monika"},{"last_name":"Knoll","first_name":"Wolfgang","full_name":"Knoll, Wolfgang"},{"last_name":"Strassl","first_name":"Robert","full_name":"Strassl, Robert"}],"OA_type":"hybrid","article_type":"original","abstract":[{"lang":"eng","text":"This study presents a graphene field-effect transistor (gFET) biosensor with dual detection capabilities for SARS-CoV-2: one RNA detection assay to confirm viral positivity and the other for nucleocapsid (N-)protein detection as a proxy for infectiousness of the patient. This technology can be rapidly adapted to emerging infectious diseases, making an essential tool to contain future pandemics. To detect viral RNA, the highly conserved E-gene of the virus was targeted, allowing for the determination of SARS-CoV-2 presence or absence using nasopharyngeal swab samples. For N-protein detection, specific antibodies were used. Tested on 213 clinical nasopharyngeal samples, the gFET biosensor showed good correlation with RT-PCR cycle threshold values, proving its high sensitivity in detecting SARS-CoV-2 RNA. Specificity was confirmed using 21 pre-pandemic samples positive for other respiratory viruses. The gFET biosensor had a limit of detection (LOD) for N-protein of 0.9 pM, establishing a foundation for the development of a sensitive tool for monitoring active viral infection. Results of gFET based N-protein detection corresponded to the results of virus culture in all 16 available clinical samples and thus it also proved its capability to serve as a proxy for infectivity. Overall, these findings support the potential of the gFET biosensor as a point-of-care device for rapid diagnosis of SARS-CoV-2 infection and indirect assessment of infectiousness in patients, providing additional information for clinical and public health decision-making."}],"file_date_updated":"2025-01-13T11:14:32Z","OA_place":"publisher","fulldoi":"https://doi.org/10.1016/j.bios.2024.116807","publication_status":"published","day":"01","quality_controlled":"1","status":"public","year":"2025","_id":"18170","month":"01","has_accepted_license":"1","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1873-4235"],"issn":["0956-5663"]},"ddc":["570"],"department":[{"_id":"LeSa"}],"date_published":"2025-01-01T00:00:00Z","file":[{"checksum":"208ac27dab27af792d198fcb74af8756","date_created":"2025-01-13T11:14:32Z","success":1,"creator":"dernst","file_name":"2025_BiosensorsBioelectronics_Herdina.pdf","relation":"main_file","file_size":4135372,"access_level":"open_access","date_updated":"2025-01-13T11:14:32Z","content_type":"application/pdf","file_id":"18843"}],"date_created":"2024-10-06T22:01:11Z","article_processing_charge":"Yes (in subscription journal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"isi":["001328413700001"],"pmid":["39341071"]},"isi":1,"title":"Bridging basic science and applied diagnostics: Comprehensive viral diagnostics enabled by graphene-based electronic biosensor technology advancements","acknowledgement":"This research was funded in whole by the Austrian Science Fund (FWF) [P 35103-B, Grant-DOI: 10.55776/P35103]. For open access purposes, the author has applied a CC BY public copyright license to any author-accepted manuscript version arising from this submission. We would like to thank Olfert Landt for advice on ssDNA probe design; Rui Qiang Chen, Jennifer Stock, and Christine Wukotitsch for their excellent support with ONT sequencing; Christoph Köppl and Andreas Fischer for excellent support in recombinant N protein expression and purification; and the whole team at the division of clinical virology for their support with standard diagnostics.","oa_version":"Published Version"},{"citation":{"ista":"Haque S, Killip R, Vişan M, Zhang Y. 2025.  Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. Pure and Applied Analysis. 7(3), 615–637.","short":"S. Haque, R. Killip, M. Vişan, Y. Zhang, Pure and Applied Analysis 7 (2025) 615–637.","ama":"Haque S, Killip R, Vişan M, Zhang Y.  Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. <i>Pure and Applied Analysis</i>. 2025;7(3):615-637. doi:<a href=\"https://doi.org/10.2140/paa.2025.7.615\">10.2140/paa.2025.7.615</a>","mla":"Haque, Saikatul, et al. “ Global Well-Posedness and Equicontinuity for Modified Korteweg–de Vries Equations in Modulation Spaces.” <i>Pure and Applied Analysis</i>, vol. 7, no. 3, Mathematical Sciences Publishers, 2025, pp. 615–37, doi:<a href=\"https://doi.org/10.2140/paa.2025.7.615\">10.2140/paa.2025.7.615</a>.","chicago":"Haque, Saikatul, Rowan Killip, Monica Vişan, and Yunfeng Zhang. “ Global Well-Posedness and Equicontinuity for Modified Korteweg–de Vries Equations in Modulation Spaces.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2025. <a href=\"https://doi.org/10.2140/paa.2025.7.615\">https://doi.org/10.2140/paa.2025.7.615</a>.","apa":"Haque, S., Killip, R., Vişan, M., &#38; Zhang, Y. (2025).  Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2025.7.615\">https://doi.org/10.2140/paa.2025.7.615</a>","ieee":"S. Haque, R. Killip, M. Vişan, and Y. Zhang, “ Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces,” <i>Pure and Applied Analysis</i>, vol. 7, no. 3. Mathematical Sciences Publishers, pp. 615–637, 2025."},"issue":"3","das_tickbox":"1","publication":"Pure and Applied Analysis","volume":7,"type":"journal_article","oa":1,"scopus_import":"1","publisher":"Mathematical Sciences Publishers","doi":"10.2140/paa.2025.7.615","intvolume":"         7","date_updated":"2026-06-24T13:22:40Z","article_type":"original","author":[{"full_name":"Haque, Saikatul","first_name":"Saikatul","last_name":"Haque"},{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan"},{"first_name":"Yunfeng","full_name":"Zhang, Yunfeng","last_name":"Zhang"}],"OA_type":"green","arxiv":1,"publication_status":"published","day":"18","abstract":[{"lang":"eng","text":"We establish global well-posedness for both the defocusing and\r\nfocusing complex-valued modified Korteweg–de Vries equations on the real line\r\nin modulation spaces Ms,2p (R), for all 1 \u0014 p < 1 and 0 \u0014 s < 3/2 − 1/p. We\r\nwill also show that such solutions admit global-in-time bounds in these spaces\r\nand that equicontinuous sets of initial data lead to equicontinuous ensembles\r\nof orbits. Indeed, such information forms a crucial part of our well-posedness\r\nargument."}],"fulldoi":"https://doi.org/10.2140/paa.2025.7.615","OA_place":"repository","status":"public","quality_controlled":"1","year":"2025","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2411.05300"}],"page":"615-637","month":"06","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"extern":"1","_id":"22021","date_published":"2025-06-18T00:00:00Z","date_created":"2026-06-19T07:30:23Z","mathsc":["35Q53","35Q55","37K10"],"external_id":{"arxiv":["2411.05300"]},"oa_version":"Preprint","title":" Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"author":[{"last_name":"Hu","first_name":"Nicholas","full_name":"Hu, Nicholas"},{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"last_name":"Visan","first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"OA_type":"green","article_type":"original","abstract":[{"lang":"eng","text":"We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time."}],"OA_place":"repository","fulldoi":"https://doi.org/10.2140/paa.2025.7.1","arxiv":1,"day":"22","keyword":["dispersive equations","nonlinear wave equation","semilinear wave equation","scattering","inverse scattering","deconvolution"],"publication_status":"published","issue":"1","type":"journal_article","publication":"Pure and Applied Analysis","volume":7,"citation":{"chicago":"Hu, Nicholas, Rowan Killip, and Monica Vişan. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2025. <a href=\"https://doi.org/10.2140/paa.2025.7.1\">https://doi.org/10.2140/paa.2025.7.1</a>.","mla":"Hu, Nicholas, et al. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>, vol. 7, no. 1, Mathematical Sciences Publishers, 2025, pp. 1–17, doi:<a href=\"https://doi.org/10.2140/paa.2025.7.1\">10.2140/paa.2025.7.1</a>.","ama":"Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity in a semilinear wave equation. <i>Pure and Applied Analysis</i>. 2025;7(1):1-17. doi:<a href=\"https://doi.org/10.2140/paa.2025.7.1\">10.2140/paa.2025.7.1</a>","short":"N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17.","ista":"Hu N, Killip R, Vişan M. 2025. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 7(1), 1–17.","ieee":"N. Hu, R. Killip, and M. Vişan, “Deconvolutional determination of the nonlinearity in a semilinear wave equation,” <i>Pure and Applied Analysis</i>, vol. 7, no. 1. Mathematical Sciences Publishers, pp. 1–17, 2025.","apa":"Hu, N., Killip, R., &#38; Vişan, M. (2025). Deconvolutional determination of the nonlinearity in a semilinear wave equation. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2025.7.1\">https://doi.org/10.2140/paa.2025.7.1</a>"},"doi":"10.2140/paa.2025.7.1","intvolume":"         7","date_updated":"2026-06-24T13:24:38Z","oa":1,"publisher":"Mathematical Sciences Publishers","scopus_import":"1","date_published":"2025-01-22T00:00:00Z","date_created":"2026-06-19T07:36:00Z","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2307.00829"]},"mathsc":["35L70","35P25","35R30"],"title":"Deconvolutional determination of the nonlinearity in a semilinear wave equation","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2307.00829"}],"page":"1-17","status":"public","quality_controlled":"1","year":"2025","_id":"22027","extern":"1","month":"01","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]}},{"publication":"Nonlinearity","volume":38,"type":"journal_article","issue":"1","das_tickbox":"1","article_number":"015021","citation":{"ieee":"R. Killip, J. Murphy, and M. Vişan, “Determination of Schrödinger nonlinearities from the scattering map,” <i>Nonlinearity</i>, vol. 38, no. 1. IOP Publishing, 2025.","apa":"Killip, R., Murphy, J., &#38; Vişan, M. (2025). Determination of Schrödinger nonlinearities from the scattering map. <i>Nonlinearity</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1361-6544/ada1bf\">https://doi.org/10.1088/1361-6544/ada1bf</a>","chicago":"Killip, Rowan, Jason Murphy, and Monica Vişan. “Determination of Schrödinger Nonlinearities from the Scattering Map.” <i>Nonlinearity</i>. IOP Publishing, 2025. <a href=\"https://doi.org/10.1088/1361-6544/ada1bf\">https://doi.org/10.1088/1361-6544/ada1bf</a>.","mla":"Killip, Rowan, et al. “Determination of Schrödinger Nonlinearities from the Scattering Map.” <i>Nonlinearity</i>, vol. 38, no. 1, 015021, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/1361-6544/ada1bf\">10.1088/1361-6544/ada1bf</a>.","ama":"Killip R, Murphy J, Vişan M. Determination of Schrödinger nonlinearities from the scattering map. <i>Nonlinearity</i>. 2025;38(1). doi:<a href=\"https://doi.org/10.1088/1361-6544/ada1bf\">10.1088/1361-6544/ada1bf</a>","ista":"Killip R, Murphy J, Vişan M. 2025. Determination of Schrödinger nonlinearities from the scattering map. Nonlinearity. 38(1), 015021.","short":"R. Killip, J. Murphy, M. Vişan, Nonlinearity 38 (2025)."},"date_updated":"2026-06-25T07:46:14Z","intvolume":"        38","doi":"10.1088/1361-6544/ada1bf","scopus_import":"1","publisher":"IOP Publishing","oa":1,"OA_type":"green","author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"last_name":"Murphy","first_name":"Jason","full_name":"Murphy, Jason"},{"first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan"}],"article_type":"original","fulldoi":"https://doi.org/10.1088/1361-6544/ada1bf","OA_place":"repository","abstract":[{"text":"We prove that the small-data scattering map uniquely determines the nonlinearity for a wide class of gauge-invariant, intercritical nonlinear Schrödinger equations. We use the Born approximation to reduce the analysis to a deconvolution problem involving the distribution function for linear Schrödinger solutions. We then solve this deconvolution problem using the Beurling–Lax Theorem.","lang":"eng"}],"publication_status":"published","arxiv":1,"day":"01","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2402.03218"}],"year":"2025","quality_controlled":"1","status":"public","extern":"1","_id":"22044","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1361-6544"],"issn":["0951-7715"]},"month":"01","date_created":"2026-06-19T07:47:06Z","date_published":"2025-01-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Preprint","title":"Determination of Schrödinger nonlinearities from the scattering map","external_id":{"arxiv":["2402.03218"]}},{"ddc":["500"],"date_published":"2025-03-01T00:00:00Z","date_created":"2026-06-19T08:20:28Z","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2404.02366"]},"mathsc":["37J70","37K10","37K60","35Q53","35Q55"],"oa_version":"Preprint","title":"The modified Korteweg–de Vries limit of the Ablowitz–Ladik system","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2404.02366","open_access":"1"}],"page":"821-846","status":"public","year":"2025","quality_controlled":"1","extern":"1","_id":"22069","month":"03","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1078-0947"],"eissn":["1553-5231"]},"author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"full_name":"Ouyang, Zhimeng","first_name":"Zhimeng","last_name":"Ouyang"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","first_name":"Monica","full_name":"Visan, Monica"},{"full_name":"Wu, Lei","first_name":"Lei","last_name":"Wu"}],"OA_type":"green","article_type":"original","abstract":[{"lang":"eng","text":"For slowly-varying initial data, solutions to the Ablowitz–Ladik system have been proven to converge to solutions of the cubic Schrödinger equation. In this paper we show that in the continuum limit, solutions to the Ablowitz–Ladik system with H^1 initial data may also converge to solutions of the modified Korteweg–de Vries equation. To exhibit this new limiting behavior, it suffices that the initial data is supported near the inflection points of the dispersion relation associated with the Ablowitz–Ladik system.\r\n\r\nOur arguments employ harmonic analysis tools, Strichartz estimates, and the conservation of mass and energy. Correspondingly, they are applicable beyond the completely integrable models of greatest interest to us."}],"fulldoi":"https://doi.org/10.3934/dcds.2024114","OA_place":"repository","arxiv":1,"day":"01","publication_status":"published","issue":"3","das_tickbox":"1","volume":45,"publication":"Discrete and Continuous Dynamical Systems","type":"journal_article","citation":{"apa":"Killip, R., Ouyang, Z., Vişan, M., &#38; Wu, L. (2025). The modified Korteweg–de Vries limit of the Ablowitz–Ladik system. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2024114\">https://doi.org/10.3934/dcds.2024114</a>","ieee":"R. Killip, Z. Ouyang, M. Vişan, and L. Wu, “The modified Korteweg–de Vries limit of the Ablowitz–Ladik system,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 45, no. 3. American Institute of Mathematical Sciences, pp. 821–846, 2025.","short":"R. Killip, Z. Ouyang, M. Vişan, L. Wu, Discrete and Continuous Dynamical Systems 45 (2025) 821–846.","ista":"Killip R, Ouyang Z, Vişan M, Wu L. 2025. The modified Korteweg–de Vries limit of the Ablowitz–Ladik system. Discrete and Continuous Dynamical Systems. 45(3), 821–846.","ama":"Killip R, Ouyang Z, Vişan M, Wu L. The modified Korteweg–de Vries limit of the Ablowitz–Ladik system. <i>Discrete and Continuous Dynamical Systems</i>. 2025;45(3):821-846. doi:<a href=\"https://doi.org/10.3934/dcds.2024114\">10.3934/dcds.2024114</a>","mla":"Killip, Rowan, et al. “The Modified Korteweg–de Vries Limit of the Ablowitz–Ladik System.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 45, no. 3, American Institute of Mathematical Sciences, 2025, pp. 821–46, doi:<a href=\"https://doi.org/10.3934/dcds.2024114\">10.3934/dcds.2024114</a>.","chicago":"Killip, Rowan, Zhimeng Ouyang, Monica Vişan, and Lei Wu. “The Modified Korteweg–de Vries Limit of the Ablowitz–Ladik System.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2025. <a href=\"https://doi.org/10.3934/dcds.2024114\">https://doi.org/10.3934/dcds.2024114</a>."},"doi":"10.3934/dcds.2024114","date_updated":"2026-06-30T07:34:20Z","intvolume":"        45","oa":1,"publisher":"American Institute of Mathematical Sciences","scopus_import":"1"},{"type":"journal_article","publication":"Nonlinearity","volume":38,"das_tickbox":"1","issue":"9","citation":{"ieee":"B. Harrop-Griffiths, R. Killip, and M. Vişan, “The nonlinear Schrödinger equation with sprinkled nonlinearity,” <i>Nonlinearity</i>, vol. 38, no. 9. IOP Publishing, 2025.","apa":"Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2025). The nonlinear Schrödinger equation with sprinkled nonlinearity. <i>Nonlinearity</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1361-6544/ae022e\">https://doi.org/10.1088/1361-6544/ae022e</a>","chicago":"Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “The Nonlinear Schrödinger Equation with Sprinkled Nonlinearity.” <i>Nonlinearity</i>. IOP Publishing, 2025. <a href=\"https://doi.org/10.1088/1361-6544/ae022e\">https://doi.org/10.1088/1361-6544/ae022e</a>.","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, Nonlinearity 38 (2025).","ista":"Harrop-Griffiths B, Killip R, Vişan M. 2025. The nonlinear Schrödinger equation with sprinkled nonlinearity. Nonlinearity. 38(9), 095020.","mla":"Harrop-Griffiths, Benjamin, et al. “The Nonlinear Schrödinger Equation with Sprinkled Nonlinearity.” <i>Nonlinearity</i>, vol. 38, no. 9, 095020, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/1361-6544/ae022e\">10.1088/1361-6544/ae022e</a>.","ama":"Harrop-Griffiths B, Killip R, Vişan M. The nonlinear Schrödinger equation with sprinkled nonlinearity. <i>Nonlinearity</i>. 2025;38(9). doi:<a href=\"https://doi.org/10.1088/1361-6544/ae022e\">10.1088/1361-6544/ae022e</a>"},"article_number":"095020","intvolume":"        38","date_updated":"2026-07-01T07:17:44Z","doi":"10.1088/1361-6544/ae022e","publisher":"IOP Publishing","scopus_import":"1","oa":1,"OA_type":"green","author":[{"first_name":"Benjamin","full_name":"Harrop-Griffiths, Benjamin","last_name":"Harrop-Griffiths"},{"full_name":"Killip, Rowan","first_name":"Rowan","last_name":"Killip"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica"}],"article_type":"original","OA_place":"repository","fulldoi":"https://doi.org/10.1088/1361-6544/ae022e","abstract":[{"lang":"eng","text":"We prove global well-posedness for the cubic nonlinear Schrödinger equation with nonlinearity concentrated on a homogeneous Poisson process."}],"arxiv":1,"day":"15","publication_status":"published","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.01246","open_access":"1"}],"status":"public","quality_controlled":"1","year":"2025","_id":"22083","extern":"1","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1361-6544"],"issn":["0951-7715"]},"month":"09","date_created":"2026-06-19T08:27:54Z","date_published":"2025-09-15T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","title":"The nonlinear Schrödinger equation with sprinkled nonlinearity","oa_version":"Preprint","external_id":{"arxiv":["2405.01246"]}},{"date_updated":"2026-07-02T06:41:43Z","doi":"10.5194/egusphere-egu25-17446","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"publisher":"European Geosciences Union","oa":1,"publication":"EGU General Assembly 2025","type":"conference_abstract","article_number":"EGU25-17446","citation":{"chicago":"Muñoz Hermosilla, José M, Evan Miles, Michael McCarthy, Florian Hardmeier, Juan Vicente Melo Velasco, Guillaume Jouvet, and Francesca Pellicciotti. “Towards Reconstructing Debris Supply to Reproduce the Historic Changes in Debris Extent at a Swiss Glacier.” In <i>EGU General Assembly 2025</i>. European Geosciences Union, 2025. <a href=\"https://doi.org/10.5194/egusphere-egu25-17446\">https://doi.org/10.5194/egusphere-egu25-17446</a>.","ista":"Muñoz Hermosilla JM, Miles E, McCarthy M, Hardmeier F, Melo Velasco JV, Jouvet G, Pellicciotti F. 2025. Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier. EGU General Assembly 2025. EGU General Assembly, EGU25-17446.","short":"J.M. Muñoz Hermosilla, E. Miles, M. McCarthy, F. Hardmeier, J.V. Melo Velasco, G. Jouvet, F. Pellicciotti, in:, EGU General Assembly 2025, European Geosciences Union, 2025.","ama":"Muñoz Hermosilla JM, Miles E, McCarthy M, et al. Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier. In: <i>EGU General Assembly 2025</i>. European Geosciences Union; 2025. doi:<a href=\"https://doi.org/10.5194/egusphere-egu25-17446\">10.5194/egusphere-egu25-17446</a>","mla":"Muñoz Hermosilla, José M., et al. “Towards Reconstructing Debris Supply to Reproduce the Historic Changes in Debris Extent at a Swiss Glacier.” <i>EGU General Assembly 2025</i>, EGU25-17446, European Geosciences Union, 2025, doi:<a href=\"https://doi.org/10.5194/egusphere-egu25-17446\">10.5194/egusphere-egu25-17446</a>.","ieee":"J. M. Muñoz Hermosilla <i>et al.</i>, “Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier,” in <i>EGU General Assembly 2025</i>, Vienna, Austria &#38; Virtual, 2025.","apa":"Muñoz Hermosilla, J. M., Miles, E., McCarthy, M., Hardmeier, F., Melo Velasco, J. V., Jouvet, G., &#38; Pellicciotti, F. (2025). Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier. In <i>EGU General Assembly 2025</i>. Vienna, Austria &#38; Virtual: European Geosciences Union. <a href=\"https://doi.org/10.5194/egusphere-egu25-17446\">https://doi.org/10.5194/egusphere-egu25-17446</a>"},"fulldoi":"https://doi.org/10.5194/egusphere-egu25-17446","OA_place":"publisher","conference":{"location":"Vienna, Austria & Virtual","name":"EGU General Assembly","end_date":"2025-05-02","start_date":"2025-04-27"},"day":"14","publication_status":"published","OA_type":"gold","author":[{"last_name":"Muñoz Hermosilla","orcid":"0000-0002-1990-8508","first_name":"José M","id":"e1037a6d-646e-11ef-b402-e0ed9ab0901e","full_name":"Muñoz Hermosilla, José M"},{"last_name":"Miles","first_name":"Evan","full_name":"Miles, Evan"},{"full_name":"McCarthy, Michael","first_name":"Michael","id":"22a2674a-61ce-11ee-94b5-d18813baf16f","last_name":"McCarthy"},{"last_name":"Hardmeier","full_name":"Hardmeier, Florian","first_name":"Florian"},{"id":"2611dec0-b9c6-11ed-9bea-a81c2b17a549","full_name":"Melo Velasco, Juan Vicente","first_name":"Juan Vicente","last_name":"Melo Velasco"},{"last_name":"Jouvet","first_name":"Guillaume","full_name":"Jouvet, Guillaume"},{"orcid":"0000-0002-5554-8087","full_name":"Pellicciotti, Francesca","id":"b28f055a-81ea-11ed-b70c-a9fe7f7b0e70","first_name":"Francesca","last_name":"Pellicciotti"}],"_id":"22120","language":[{"iso":"eng"}],"has_accepted_license":"1","month":"05","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5194/egusphere-egu25-17446"}],"year":"2025","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Published Version","title":"Towards reconstructing debris supply to reproduce the historic changes in debris extent at a Swiss glacier","department":[{"_id":"FrPe"},{"_id":"GradSch"}],"ddc":["550"],"date_created":"2026-06-22T12:17:47Z","date_published":"2025-05-14T00:00:00Z"},{"_id":"21263","publication_identifier":{"issn":["1435-9855"],"eissn":["1435-9863"]},"language":[{"iso":"eng"}],"month":"09","has_accepted_license":"1","main_file_link":[{"url":"https://doi.org/10.4171/JEMS/1692","open_access":"1"}],"project":[{"name":"Randomness and structure in combinatorics","_id":"bd95085b-d553-11ed-ba76-e55d3349be45","grant_number":"101076777"}],"year":"2025","quality_controlled":"1","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","title":"The exact rank of sparse random graphs","acknowledgement":"We would like to thank Noga Alon for suggesting that our main result gives\r\na linear-time algorithm for computing the rank. We also thank the referees for a number of thoughtful comments and suggestions. Glasgow was supported by NSF graduate research fellowship program award DGE1656518. Kwan was supported by ERC Starting Grant “RANDSTRUCT” No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE-1745302.\r\n","oa_version":"Published Version","external_id":{"arxiv":["2303.05435"]},"department":[{"_id":"MaKw"}],"ddc":["510"],"date_created":"2026-02-17T07:41:59Z","date_published":"2025-09-02T00:00:00Z","date_updated":"2026-07-06T11:51:31Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"PlanS_conform":"1","doi":"10.4171/jems/1692","publisher":"EMS Press","oa":1,"DOAJ_listed":"1","type":"journal_article","publication":"Journal of the European Mathematical Society","das_tickbox":"1","citation":{"mla":"Glasgow, Margalit, et al. “The Exact Rank of Sparse Random Graphs.” <i>Journal of the European Mathematical Society</i>, EMS Press, 2025, doi:<a href=\"https://doi.org/10.4171/jems/1692\">10.4171/jems/1692</a>.","ama":"Glasgow M, Kwan MA, Sah A, Sawhney M. The exact rank of sparse random graphs. <i>Journal of the European Mathematical Society</i>. 2025. doi:<a href=\"https://doi.org/10.4171/jems/1692\">10.4171/jems/1692</a>","short":"M. Glasgow, M.A. Kwan, A. Sah, M. Sawhney, Journal of the European Mathematical Society (2025).","ista":"Glasgow M, Kwan MA, Sah A, Sawhney M. 2025. The exact rank of sparse random graphs. Journal of the European Mathematical Society.","chicago":"Glasgow, Margalit, Matthew Alan Kwan, Ashwin Sah, and Mehtaab Sawhney. “The Exact Rank of Sparse Random Graphs.” <i>Journal of the European Mathematical Society</i>. EMS Press, 2025. <a href=\"https://doi.org/10.4171/jems/1692\">https://doi.org/10.4171/jems/1692</a>.","apa":"Glasgow, M., Kwan, M. A., Sah, A., &#38; Sawhney, M. (2025). The exact rank of sparse random graphs. <i>Journal of the European Mathematical Society</i>. EMS Press. <a href=\"https://doi.org/10.4171/jems/1692\">https://doi.org/10.4171/jems/1692</a>","ieee":"M. Glasgow, M. A. Kwan, A. Sah, and M. Sawhney, “The exact rank of sparse random graphs,” <i>Journal of the European Mathematical Society</i>. EMS Press, 2025."},"OA_place":"publisher","corr_author":"1","fulldoi":"https://doi.org/10.4171/jems/1692","abstract":[{"lang":"eng","text":"Two landmark results in combinatorial random matrix theory, due to Komlós and Costello–Tao–Vu, show that discrete random matrices and symmetric discrete random matrices are typically nonsingular. In particular, in the language of graph theory, when p is a fixed constant, the biadjacency matrix of a random Erdős–Rényi bipartite graph G(n,n,p) and the adjacency matrix of an Erdős–Rényi random graph G(n,p) are both nonsingular with high probability. However, very sparse random graphs (i.e., where p is allowed to decay rapidly with n) are typically singular, due to the presence of “local” dependencies such as isolated vertices and pairs of degree-1 vertices with the same neighbour. In this paper, we give a combinatorial description of the rank of a sparse random graph G(n,n,c/n) or G(n,c/n) in terms of such local dependencies, for all constants c=e (and we present some evidence that the situation is very different for c=e). This gives an essentially complete answer to a question raised by Vu (2014). As applications of our main theorem and its proof, we also determine the asymptotic singularity probability of the 2-core of a sparse random graph, we show that the rank of a sparse random graph is extremely well approximated by its matching number, and we deduce a central limit theorem for the rank of G(n,c/n)."}],"publication_status":"epub_ahead","arxiv":1,"day":"02","OA_type":"diamond","author":[{"first_name":"Margalit","full_name":"Glasgow, Margalit","last_name":"Glasgow"},{"last_name":"Kwan","orcid":"0000-0002-4003-7567","first_name":"Matthew Alan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","full_name":"Kwan, Matthew Alan"},{"full_name":"Sah, Ashwin","first_name":"Ashwin","last_name":"Sah"},{"first_name":"Mehtaab","full_name":"Sawhney, Mehtaab","last_name":"Sawhney"}],"article_type":"original"},{"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"PlanS_conform":"1","doi":"10.1016/j.cell.2025.08.026","date_updated":"2026-07-06T12:51:13Z","intvolume":"       188","pmid":1,"oa":1,"publisher":"Elsevier","issue":"22","type":"journal_article","publication":"Cell","volume":188,"citation":{"apa":"Rodriguez Solovey, L., Fiedler, L., Zou, M., Giannini, C., Monzer, A., Vladimirtsev, D., … Friml, J. (2025). ABP1/ABL3-TMK1 cell-surface auxin signaling targets PIN2-mediated auxin fluxes for root gravitropism. <i>Cell</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.cell.2025.08.026\">https://doi.org/10.1016/j.cell.2025.08.026</a>","ieee":"L. Rodriguez Solovey <i>et al.</i>, “ABP1/ABL3-TMK1 cell-surface auxin signaling targets PIN2-mediated auxin fluxes for root gravitropism,” <i>Cell</i>, vol. 188, no. 22. Elsevier, p. 6138–6150.e17, 2025.","ista":"Rodriguez Solovey L, Fiedler L, Zou M, Giannini C, Monzer A, Vladimirtsev D, Randuch M, Yu Y, Gelová Z, Verstraeten I, Hajny J, Chen M, Tan S, Hörmayer L, Li L, Marques-Bueno MM, Quddoos Z, Molnar G, Kulich I, Jaillais Y, Friml J. 2025. ABP1/ABL3-TMK1 cell-surface auxin signaling targets PIN2-mediated auxin fluxes for root gravitropism. Cell. 188(22), 6138–6150.e17.","short":"L. Rodriguez Solovey, L. Fiedler, M. Zou, C. Giannini, A. Monzer, D. Vladimirtsev, M. Randuch, Y. Yu, Z. Gelová, I. Verstraeten, J. Hajny, M. Chen, S. Tan, L. Hörmayer, L. Li, M.M. Marques-Bueno, Z. Quddoos, G. Molnar, I. Kulich, Y. Jaillais, J. Friml, Cell 188 (2025) 6138–6150.e17.","mla":"Rodriguez Solovey, Lesia, et al. “ABP1/ABL3-TMK1 Cell-Surface Auxin Signaling Targets PIN2-Mediated Auxin Fluxes for Root Gravitropism.” <i>Cell</i>, vol. 188, no. 22, Elsevier, 2025, p. 6138–6150.e17, doi:<a href=\"https://doi.org/10.1016/j.cell.2025.08.026\">10.1016/j.cell.2025.08.026</a>.","ama":"Rodriguez Solovey L, Fiedler L, Zou M, et al. ABP1/ABL3-TMK1 cell-surface auxin signaling targets PIN2-mediated auxin fluxes for root gravitropism. <i>Cell</i>. 2025;188(22):6138-6150.e17. doi:<a href=\"https://doi.org/10.1016/j.cell.2025.08.026\">10.1016/j.cell.2025.08.026</a>","chicago":"Rodriguez Solovey, Lesia, Lukas Fiedler, Minxia Zou, Caterina Giannini, Aline Monzer, Dmitrii Vladimirtsev, Marek Randuch, et al. “ABP1/ABL3-TMK1 Cell-Surface Auxin Signaling Targets PIN2-Mediated Auxin Fluxes for Root Gravitropism.” <i>Cell</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.cell.2025.08.026\">https://doi.org/10.1016/j.cell.2025.08.026</a>."},"abstract":[{"lang":"eng","text":"Phytohormone auxin and its directional transport mediate much of the remarkably plastic development of higher plants. Positive feedback between auxin signaling and transport is a prerequisite for (1) self-organizing processes, including vascular tissue formation, and (2) directional growth responses such as gravitropism. Here, we identify a mechanism by which auxin signaling directly targets PIN auxin transporters. Via the cell-surface AUXIN-BINDING PROTEIN1 (ABP1)-TRANSMEMBRANE KINASE 1 (TMK1) receptor module, auxin rapidly induces phosphorylation and thus stabilization of PIN2. Following gravistimulation, initial auxin asymmetry activates autophosphorylation of the TMK1 kinase. This induces TMK1 interaction with and phosphorylation of PIN2, stabilizing PIN2 at the lower root side, thus reinforcing asymmetric auxin flow for root bending. Upstream of TMK1 in this regulation, ABP1 acts redundantly with the root-expressed ABP1-LIKE 3 (ABL3) auxin receptor. Such positive feedback between cell-surface auxin signaling and PIN-mediated polar auxin transport is fundamental for robust root gravitropism and presumably for other self-organizing developmental phenomena."}],"corr_author":"1","OA_place":"publisher","file_date_updated":"2025-11-24T10:55:18Z","fulldoi":"https://doi.org/10.1016/j.cell.2025.08.026","publication_status":"published","day":"30","author":[{"orcid":"0000-0002-7244-7237","full_name":"Rodriguez Solovey, Lesia","id":"3922B506-F248-11E8-B48F-1D18A9856A87","first_name":"Lesia","last_name":"Rodriguez Solovey"},{"full_name":"Fiedler, Lukas","id":"7c417475-8972-11ed-ae7b-8b674ca26986","first_name":"Lukas","last_name":"Fiedler"},{"id":"5c243f41-03f3-11ec-841c-96faf48a7ef9","full_name":"Zou, Minxia","first_name":"Minxia","last_name":"Zou"},{"last_name":"Giannini","id":"e3fdddd5-f6e0-11ea-865d-ca99ee6367f4","first_name":"Caterina","full_name":"Giannini, Caterina"},{"first_name":"Aline","id":"2DB5D88C-D7B3-11E9-B8FD-7907E6697425","full_name":"Monzer, Aline","last_name":"Monzer"},{"first_name":"Dmitrii","id":"60466724-5355-11ee-ae5a-fa55e8f99c3d","full_name":"Vladimirtsev, Dmitrii","last_name":"Vladimirtsev"},{"full_name":"Randuch, Marek","id":"6ac4636d-15b2-11ec-abd3-fb8df79972ae","first_name":"Marek","last_name":"Randuch"},{"first_name":"Yongfan","full_name":"Yu, Yongfan","last_name":"Yu"},{"full_name":"Gelová, Zuzana","id":"0AE74790-0E0B-11E9-ABC7-1ACFE5697425","first_name":"Zuzana","orcid":"0000-0003-4783-1752","last_name":"Gelová"},{"id":"362BF7FE-F248-11E8-B48F-1D18A9856A87","full_name":"Verstraeten, Inge","first_name":"Inge","orcid":"0000-0001-7241-2328","last_name":"Verstraeten"},{"orcid":"0000-0003-2140-7195","id":"4800CC20-F248-11E8-B48F-1D18A9856A87","first_name":"Jakub","full_name":"Hajny, Jakub","last_name":"Hajny"},{"last_name":"Chen","full_name":"Chen, Meng","first_name":"Meng"},{"first_name":"Shutang","id":"2DE75584-F248-11E8-B48F-1D18A9856A87","full_name":"Tan, Shutang","orcid":"0000-0002-0471-8285","last_name":"Tan"},{"full_name":"Hörmayer, Lukas","first_name":"Lukas","id":"2EEE7A2A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8295-2926","last_name":"Hörmayer"},{"last_name":"Li","orcid":"0000-0002-5607-272X","id":"367EF8FA-F248-11E8-B48F-1D18A9856A87","first_name":"Lanxin","full_name":"Li, Lanxin"},{"first_name":"Maria Mar","full_name":"Marques-Bueno, Maria Mar","last_name":"Marques-Bueno"},{"id":"32ff3c64-04a0-11f0-a50f-d0c45bfac466","first_name":"Zainab","full_name":"Quddoos, Zainab","last_name":"Quddoos"},{"first_name":"Gergely","id":"34F1AF46-F248-11E8-B48F-1D18A9856A87","full_name":"Molnar, Gergely","last_name":"Molnar"},{"last_name":"Kulich","first_name":"Ivan","id":"57a1567c-8314-11eb-9063-c9ddc3451a54","full_name":"Kulich, Ivan"},{"last_name":"Jaillais","full_name":"Jaillais, Yvon","first_name":"Yvon"},{"orcid":"0000-0002-8302-7596","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří","full_name":"Friml, Jiří","last_name":"Friml"}],"OA_type":"hybrid","article_type":"original","_id":"20656","ec_funded":1,"month":"10","has_accepted_license":"1","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0092-8674"]},"page":"6138-6150.e17","project":[{"_id":"8f347782-16d5-11f0-9cad-8c19706ee739","grant_number":"101142681","name":"Cyclic nucleotides as second messengers in plants"},{"_id":"bd76d395-d553-11ed-ba76-f678c14f9033","grant_number":"I06123","name":"Peptide receptors for auxin canalization in Arabidopsis"},{"name":"Cell surface receptor complexes for auxin signaling in plants","_id":"26060676-B435-11E9-9278-68D0E5697425","grant_number":"ALTF 985-2016"},{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"status":"public","year":"2025","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"pmid":["41043433"],"isi":["001616077900005"]},"isi":1,"title":"ABP1/ABL3-TMK1 cell-surface auxin signaling targets PIN2-mediated auxin fluxes for root gravitropism","acknowledgement":"We gratefully acknowledge Tongda Xu for experimental, material, and conceptual support. We thank William Gray for providing material, Nataliia Gnyliukh and Ema Cervenova for help with manuscript preparation, and Julia Schmid for help with cloning. We thank Dolf Weijers, Mark Roosjen, and Andre Kuhn for discussions and support with phospho-proteomic analyses. We thank the Bioimaging and Life Science facilities at the Institute of Science and Technology Austria (ISTA) for their excellent service and assistance. The research leading to these results has received funding from the European Union (ERC, CYNIPS, 101142681) and Austrian Science Fund (FWF; I 6123-B) to J.F., and Y.J. was funded by ERC no. 3363360-APPL under FP/2007-2013. L.R. was supported by the FP7-PEOPLE-2011-COFUND ISTFELLOW program (IC1023FELL01) and the European Molecular Biology Organization (EMBO) long-term postdoctoral fellowship (ALTF 985-2016). S.T. was supported by the National Natural Science Foundation of China (32321001, 32570366). The work of J.H. was supported by the project JG_2024_003 implemented within the Palacký University Young Researcher Grant.","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"19399"}]},"oa_version":"Published Version","ddc":["580"],"department":[{"_id":"JiFr"},{"_id":"XiFe"}],"acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"date_published":"2025-10-30T00:00:00Z","date_created":"2025-11-19T09:44:31Z","file":[{"file_id":"20679","content_type":"application/pdf","date_updated":"2025-11-24T10:55:18Z","access_level":"open_access","relation":"main_file","file_size":17825465,"file_name":"2025_Cell_Rodriguez.pdf","creator":"dernst","success":1,"date_created":"2025-11-24T10:55:18Z","checksum":"8ac396a0806ad7f2e4e7a0c1eed712ce"}]},{"citation":{"apa":"Naik, S. (2025). <i>Keratins act as global coordinators of tissue spreading through mechanosensitive feedback</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20441\">https://doi.org/10.15479/AT-ISTA-20441</a>","ieee":"S. Naik, “Keratins act as global coordinators of tissue spreading through mechanosensitive feedback,” Institute of Science and Technology Austria, 2025.","mla":"Naik, Suyash. <i>Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20441\">10.15479/AT-ISTA-20441</a>.","ama":"Naik S. Keratins act as global coordinators of tissue spreading through mechanosensitive feedback. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20441\">10.15479/AT-ISTA-20441</a>","ista":"Naik S. 2025. Keratins act as global coordinators of tissue spreading through mechanosensitive feedback. Institute of Science and Technology Austria.","short":"S. Naik, Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback, Institute of Science and Technology Austria, 2025.","chicago":"Naik, Suyash. “Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20441\">https://doi.org/10.15479/AT-ISTA-20441</a>."},"alternative_title":["ISTA Thesis"],"type":"dissertation","publisher":"Institute of Science and Technology Austria","oa":1,"date_updated":"2026-07-06T12:51:41Z","degree_awarded":"PhD","tmp":{"name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","image":"/images/cc_by_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","short":"CC BY-SA (4.0)"},"doi":"10.15479/AT-ISTA-20441","author":[{"orcid":"0000-0001-8421-5508","id":"2C0B105C-F248-11E8-B48F-1D18A9856A87","full_name":"Naik, Suyash","first_name":"Suyash","last_name":"Naik"}],"day":"12","publication_status":"published","OA_place":"publisher","supervisor":[{"orcid":"0000-0002-0912-4566","full_name":"Heisenberg, Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","first_name":"Carl-Philipp J","last_name":"Heisenberg"},{"first_name":"Edouard B","full_name":"Hannezo, Edouard B","id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6005-1561","last_name":"Hannezo"}],"corr_author":"1","file_date_updated":"2025-10-28T13:10:26Z","fulldoi":"https://doi.org/10.15479/AT-ISTA-20441","abstract":[{"lang":"eng","text":"Epithelial spreading plays a pivotal role in the development of organisms especially those\r\nsuch as zebrafish which require the epithelial enveloping layer (EVL) to spread to cover the\r\nsubstantial yolk surface during gastrulation. Epiboly requires the transition of the epithelium\r\nwith cuboidal cells to form a thin, flat squamous epithelial sheet. During this transition, the\r\ncells show tissue-scale mechanosensation with mechanisms such as direct mechanical control\r\nover the axis of cell division.\r\nCytoskeletal intermediate filaments play a crucial role in vertebrate cells, not only facilitating\r\nmechanical stability but also helping facilitate the mechanosensitive response of the cell.\r\nMechanosenstivity displayed by intermediate filaments is due not just to their interesting\r\nphysical properties but also to their interactions with other cytoskeletal elements such as actin\r\nand microtubules. Keratin is the predominant intermediate filament expressed in the EVL.\r\nIt expresses concomitantly with the gastrulation movements of the developing embryo. Our\r\nwork focuses on understanding the role and dynamics of the keratin cytoskeletal network in\r\nmodulating the physical aspects of EVL spreading. We demonstrated with the combination of\r\nphysical characterisation and manipulations of the EVL, utilising a variety of biophysical tools\r\nand microscopy, the mechanistic role of keratin in tissue spreading.\r\nGenerating novel genetic morphants and mutants, we probe the effect that the loss of the\r\nkeratin network has on the physiology of the epithelium and the developing embryo. We\r\nshow that the changing organisation of the keratin network is important for changing EVL\r\nphysical properties as the stress imposed on the EVL increases during epiboly. By modelling\r\nthe epithelium, we study how the mechanical heterogeneity in an epithelium can feed back into\r\na mechanical loop to the maturation of the keratin network and hence affect the mechanics\r\nof the epithelium. However, unlike what would be predicted by the effect of intermediate\r\nfilaments in acting as a security belt and increasing the resistance of the epithelium, we observe\r\nthat loss of keratin leads to a delay in the EVL movement. Using both local aspirations of the\r\nYSL and EVL ablations, we demonstrate the mechanistic facilitation of actin mechanosensation\r\nin a keratin-dependent manner.\r\nFurthermore, using chemical inhibitors of microtubule polymerisation, we provide insight into\r\nthe mechanisms underlying the organisation and distribution of keratin. Interestingly, the\r\nphenotype observed upon this loss of microtubules shows that keratins interact with the nucleus\r\nthrough microtubular interactions. Together with these diverse observations, we describe\r\nthe mechanosensory feedback between resilience and that is critical for uniform and robust\r\nspreading of the epithelium."}],"project":[{"_id":"8f060199-16d5-11f0-9cad-f3253b266c46","grant_number":"PAT 5044023","name":"Keratins in epithelial tissue spreading"},{"grant_number":"W 1250-B20","_id":"25AA5F24-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Nano-Analytics of Cellular Systems"}],"year":"2025","status":"public","page":"105","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-3-99078-069-5"],"issn":["2663-337X"]},"month":"10","has_accepted_license":"1","_id":"20441","file":[{"creator":"snaik","file_name":"Thesis_PDFA_.pdf","checksum":"2892f04d4a5c18677871c3e06ac1244a","date_created":"2025-10-28T13:10:08Z","success":1,"access_level":"open_access","content_type":"application/pdf","date_updated":"2025-10-28T13:10:08Z","file_id":"20567","relation":"main_file","file_size":6846189},{"file_id":"20568","date_updated":"2025-10-28T13:10:26Z","content_type":"application/zip","access_level":"open_access","relation":"source_file","file_size":8839300,"file_name":"Thesis.zip","creator":"snaik","date_created":"2025-10-28T13:10:26Z","checksum":"15934d4465cd0e9b7c32678da9a33a2f"}],"date_created":"2025-10-10T14:58:30Z","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"date_published":"2025-10-12T00:00:00Z","department":[{"_id":"GradSch"},{"_id":"CaHe"},{"_id":"EdHa"}],"ddc":["596","597","532"],"acknowledgement":"I would also like to thank the LSF and Cryo facility at ISTA, which have been helpful in my\r\nexperiments. I would also like to acknowledge FWF, grant DOI 10.55776/PAT5044023 and JKU Nanocell grant DOI \r\n10.55776/W1250 for providing funding for my PhD research. EMBO and FWF for providing funding for travel grants to attend conferences.","title":"Keratins act as global coordinators of tissue spreading through mechanosensitive feedback","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"20465"}]},"oa_version":"Published Version","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","article_processing_charge":"No"},{"title":"Theory and applications of verifiable delay functions","oa_version":"Published Version","related_material":{"record":[{"id":"13143","relation":"part_of_dissertation","status":"public"},{"id":"12176","status":"public","relation":"part_of_dissertation"},{"id":"20556","relation":"earlier_version","status":"public"},{"id":"19778","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"20701"}]},"article_processing_charge":"No","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_published":"2025-12-31T00:00:00Z","date_created":"2026-01-02T10:46:47Z","file":[{"file_size":8355494,"relation":"source_file","access_level":"closed","file_id":"20921","date_updated":"2026-01-02T10:39:16Z","content_type":"application/x-zip-compressed","checksum":"8a099fbf54963bd0be38f7ce73658682","date_created":"2026-01-02T10:39:16Z","creator":"choffman","file_name":"2025_Hoffmann_Charlotte_Source.zip"},{"access_level":"open_access","content_type":"application/pdf","date_updated":"2026-01-02T10:39:26Z","file_id":"20922","file_size":2258804,"relation":"main_file","creator":"choffman","file_name":"2025_Hoffmann_Charlotte_Thesis.pdf","checksum":"9521c07bfb2bb5b14a49c09fcfc96474","date_created":"2026-01-02T10:39:26Z","success":1}],"ddc":["004"],"department":[{"_id":"GradSch"},{"_id":"KrPi"}],"month":"12","has_accepted_license":"1","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"_id":"20920","status":"public","year":"2025","page":"116","publication_status":"published","day":"31","abstract":[{"text":"Verifiable Delay Functions (VDFs) introduced by Boneh et al. (CRYPTO'18) are functions that require a prescribed number of sequential steps T to evaluate, yet their output can be verified in time much faster than T. Since their introduction, VDFs have gained a lot of attention due to their applications in blockchain protocols, randomness beacons, timestamping and deniability. This thesis explores the theory and applications of VDFs, focusing on enhancing their soundness, efficiency and practicality.\r\n\r\nThe only practical VDFs known to date are based on repeated squaring in hidden order groups. Consider the function VDF(x,T)=x^(2^T).\r\nThe iterated squaring assumption states that, for a random group element x, the result of VDF cannot be computed significantly faster than performing T sequential squarings if the group order is unknown. To make the result verifiable a prover can compute a proof of exponentiation (PoE) \\pi. Given \\pi, the output of VDF can be verified in time much less than T.\r\n\r\nWe first present new constructions of statistically sound proofs of exponentiation, which are an important building block in the construction of SNARKs (Succinct Non-Interactive Argument of Knowledge). Statistical soundness means that the proofs remain secure against computationally unbounded adversaries, in particular, it remains secure even when the group order is known. We thereby address limitations in previous PoE protocols which either required (non-standard) hardness assumptions or a lot of parallel repetitions. Our construction significantly reduces the proof size of statistically sound PoEs that allow for a structured exponent, which leads to better efficiency of SNARKs and other applications.\r\n\r\nSecondly, we introduce improved batching techniques for PoEs, which allow multiple proofs to be aggregated and verified with minimal overhead. These protocols optimize communication and computation complexity in large-scale blockchain environments and enable scalable remote benchmarking of parallel computation resources.\r\n\r\nWe then construct VDFs with enhanced properties such as zero-knowledge and watermarkability. It was shown by Arun, Bonneau and Clark (ASIACRYPT'22) that these features enable new cryptographic primitives called short-lived proofs and signatures. The validity of such proofs and signatures expires after a predefined amount of time T, i.e., they are deniable after time T. Our constructions improve upon the constructions by Arun, Bonneau and Clark in several dimensions (faster forging times, arguably weaker assumptions).\r\n\r\nFinally, we apply PoEs in the realm of primality testing, providing cryptographically sound proofs of non-primality for large Proth numbers. This work gives a surprising application of VDFs in the area of computational number theory.\r\n\r\nTogether, our contributions advance both the theoretical foundations and the real-world usability of VDFs in general and in particular of PoEs, making them more adaptable and secure for current and emerging cryptographic applications.","lang":"eng"}],"corr_author":"1","OA_place":"publisher","supervisor":[{"orcid":"0000-0002-9139-1654","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z","full_name":"Pietrzak, Krzysztof Z","last_name":"Pietrzak"}],"file_date_updated":"2026-01-02T10:39:26Z","fulldoi":"https://doi.org/10.15479/AT-ISTA-20920","author":[{"orcid":"0000-0003-2027-5549","first_name":"Charlotte","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","full_name":"Hoffmann, Charlotte","last_name":"Hoffmann"}],"oa":1,"publisher":"Institute of Science and Technology Austria","tmp":{"short":"CC BY-NC-SA (4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"doi":"10.15479/AT-ISTA-20920","degree_awarded":"PhD","date_updated":"2026-07-06T13:15:27Z","citation":{"apa":"Hoffmann, C. (2025). <i>Theory and applications of verifiable delay functions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20920\">https://doi.org/10.15479/AT-ISTA-20920</a>","ieee":"C. Hoffmann, “Theory and applications of verifiable delay functions,” Institute of Science and Technology Austria, 2025.","ista":"Hoffmann C. 2025. Theory and applications of verifiable delay functions. Institute of Science and Technology Austria.","short":"C. Hoffmann, Theory and Applications of Verifiable Delay Functions, Institute of Science and Technology Austria, 2025.","mla":"Hoffmann, Charlotte. <i>Theory and Applications of Verifiable Delay Functions</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20920\">10.15479/AT-ISTA-20920</a>.","ama":"Hoffmann C. Theory and applications of verifiable delay functions. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20920\">10.15479/AT-ISTA-20920</a>","chicago":"Hoffmann, Charlotte. “Theory and Applications of Verifiable Delay Functions.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20920\">https://doi.org/10.15479/AT-ISTA-20920</a>."},"alternative_title":["ISTA Thesis"],"type":"dissertation"},{"publisher":"Institute of Science and Technology Austria","degree_awarded":"PhD","date_updated":"2026-07-06T13:15:27Z","tmp":{"short":"CC BY-NC-SA (4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"doi":"10.15479/AT-ISTA-20556","citation":{"apa":"Hoffmann, C. (2025). <i>Theory and applications of verifiable delay functions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20556\">https://doi.org/10.15479/AT-ISTA-20556</a>","ieee":"C. Hoffmann, “Theory and applications of verifiable delay functions,” Institute of Science and Technology Austria, 2025.","mla":"Hoffmann, Charlotte. <i>Theory and Applications of Verifiable Delay Functions</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20556\">10.15479/AT-ISTA-20556</a>.","ama":"Hoffmann C. Theory and applications of verifiable delay functions. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20556\">10.15479/AT-ISTA-20556</a>","short":"C. Hoffmann, Theory and Applications of Verifiable Delay Functions, Institute of Science and Technology Austria, 2025.","ista":"Hoffmann C. 2025. Theory and applications of verifiable delay functions. Institute of Science and Technology Austria.","chicago":"Hoffmann, Charlotte. “Theory and Applications of Verifiable Delay Functions.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20556\">https://doi.org/10.15479/AT-ISTA-20556</a>."},"alternative_title":["ISTA Thesis"],"type":"dissertation","day":"31","publication_status":"published","file_date_updated":"2026-01-08T14:11:39Z","supervisor":[{"full_name":"Pietrzak, Krzysztof Z","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z","orcid":"0000-0002-9139-1654","last_name":"Pietrzak"}],"corr_author":"1","OA_place":"publisher","fulldoi":"https://doi.org/10.15479/AT-ISTA-20556","abstract":[{"lang":"eng","text":"Verifiable Delay Functions (VDFs) introduced by Boneh et al. (CRYPTO'18) are functions that require a prescribed number of sequential steps T to evaluate, yet their output can be verified in time much faster than T. Since their introduction, VDFs have gained a lot of attention due to their applications in blockchain protocols, randomness beacons, timestamping and deniability. This thesis explores the theory and applications of VDFs, focusing on enhancing their soundness, efficiency and practicality.\r\n\r\nThe only practical VDFs known to date are based on repeated squaring in hidden order groups. Consider the function VDF(x,T)=x^(2^T).\r\nThe iterated squaring assumption states that, for a random group element x, the result of VDF cannot be computed significantly faster than performing T sequential squarings if the group order is unknown. To make the result verifiable a prover can compute a proof of exponentiation (PoE) \\pi. Given \\pi, the output of VDF can be verified in time much less than T.\r\n\r\nWe first present new constructions of statistically sound proofs of exponentiation, which are an important building block in the construction of SNARKs (Succinct Non-Interactive Argument of Knowledge). Statistical soundness means that the proofs remain secure against computationally unbounded adversaries, in particular, it remains secure even when the group order is known. We thereby address limitations in previous PoE protocols which either required (non-standard) hardness assumptions or a lot of parallel repetitions. Our construction significantly reduces the proof size of statistically sound PoEs that allow for a structured exponent, which leads to better efficiency of SNARKs and other applications.\r\n\r\nSecondly, we introduce improved batching techniques for PoEs, which allow multiple proofs to be aggregated and verified with minimal overhead. These protocols optimize communication and computation complexity in large-scale blockchain environments and enable scalable remote benchmarking of parallel computation resources.\r\n\r\nWe then construct VDFs with enhanced properties such as zero-knowledge and watermarkability. It was shown by Arun, Bonneau and Clark (ASIACRYPT'22) that these features enable new cryptographic primitives called short-lived proofs and signatures. The validity of such proofs and signatures expires after a predefined amount of time T, i.e., they are deniable after time T. Our constructions improve upon the constructions by Arun, Bonneau and Clark in several dimensions (faster forging times, arguably weaker assumptions).\r\n\r\nFinally, we apply PoEs in the realm of primality testing, providing cryptographically sound proofs of non-primality for large Proth numbers. This work gives a surprising application of VDFs in the area of computational number theory.\r\n\r\nTogether, our contributions advance both the theoretical foundations and the real-world usability of VDFs in general and in particular of PoEs, making them more adaptable and secure for current and emerging cryptographic applications."}],"author":[{"last_name":"Hoffmann","orcid":"0000-0003-2027-5549","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","full_name":"Hoffmann, Charlotte","first_name":"Charlotte"}],"publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"month":"10","has_accepted_license":"1","_id":"20556","year":"2025","status":"public","page":"116","title":"Theory and applications of verifiable delay functions","oa_version":"Published Version","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"13143"},{"id":"12176","status":"public","relation":"part_of_dissertation"},{"id":"20920","relation":"later_version","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"19778"},{"id":"20701","relation":"part_of_dissertation","status":"public"}]},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","article_processing_charge":"No","date_created":"2025-10-27T14:16:56Z","file":[{"date_created":"2025-10-28T14:33:03Z","checksum":"1fffa4e2c33dd0b9f883d615504a2858","file_name":"2025_Hoffmann_Charlotte_Thesis.pdf","creator":"choffman","file_size":2259304,"relation":"main_file","content_type":"application/pdf","date_updated":"2026-01-08T14:11:39Z","file_id":"20573","access_level":"closed"},{"file_name":"2025_Hoffmann_Charlotte_Source.zip","creator":"choffman","date_created":"2025-10-28T14:35:06Z","checksum":"076ea98a1f0a86c3bbc990b6b9460dc2","date_updated":"2025-11-11T09:34:54Z","content_type":"application/x-zip-compressed","file_id":"20574","access_level":"closed","file_size":9987633,"relation":"source_file"}],"date_published":"2025-10-31T00:00:00Z","department":[{"_id":"GradSch"},{"_id":"KrPi"}],"ddc":["004"]},{"corr_author":"1","OA_place":"repository","fulldoi":"https://doi.org/10.4310/jdg/1747065796","abstract":[{"lang":"eng","text":"We propose a new weak solution concept for (two-phase) mean curvature flow which enjoys both (unconditional) existence and (weak-strong) uniqueness properties. These solutions are evolving varifolds, just as in Brakke's formulation, but are coupled to the phase volumes by a simple transport equation. First, we show that, in the exact same setup as in Ilmanen's proof [J. Differential Geom. 38, 417-461, (1993)], any limit point of solutions to the Allen-Cahn equation is a varifold solution in our sense. Second, we prove that any calibrated flow in the sense of Fischer et al. [arXiv:2003.05478] - and hence any classical solution to mean curvature flow-is unique in the class of our new varifold solutions. This is in sharp contrast to the case of Brakke flows, which a priori may disappear at any given time and are therefore fatally non-unique. Finally, we propose an extension of the solution concept to the multi-phase case which is at least guaranteed to satisfy a weak-strong uniqueness principle."}],"keyword":["Mean curvature flow","gradient flows","varifolds","weak solutions","weak-strong uniqueness","calibrated geometry","gradient-flow calibrations"],"arxiv":1,"day":"01","publication_status":"published","OA_type":"green","author":[{"orcid":"0000-0001-7252-8072","first_name":"Sebastian","full_name":"Hensel, Sebastian","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","last_name":"Hensel"},{"full_name":"Laux, Tim","first_name":"Tim","last_name":"Laux"}],"article_type":"original","intvolume":"       130","date_updated":"2026-07-06T13:37:21Z","doi":"10.4310/jdg/1747065796","scopus_import":"1","publisher":"International Press of Boston","oa":1,"type":"journal_article","publication":"Journal of Differential Geometry","volume":130,"das_tickbox":"1","citation":{"chicago":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>. International Press of Boston, 2025. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>.","ista":"Hensel S, Laux T. 2025. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. Journal of Differential Geometry. 130, 209–268.","short":"S. Hensel, T. Laux, Journal of Differential Geometry 130 (2025) 209–268.","mla":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>, vol. 130, International Press of Boston, 2025, pp. 209–68, doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>.","ama":"Hensel S, Laux T. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. 2025;130:209-268. doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>","ieee":"S. Hensel and T. Laux, “A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness,” <i>Journal of Differential Geometry</i>, vol. 130. International Press of Boston, pp. 209–268, 2025.","apa":"Hensel, S., &#38; Laux, T. (2025). A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813. The content of this paper was developed and parts of it were written during a visit of the first author to the Hausdorff Center of Mathematics (HCM), University of Bonn. The hospitality and the support of HCM are gratefully acknowledged.","title":"A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness","oa_version":"Preprint","external_id":{"arxiv":["2109.04233"]},"department":[{"_id":"JuFi"}],"date_created":"2021-09-13T12:17:10Z","date_published":"2025-05-01T00:00:00Z","ec_funded":1,"_id":"10011","publication_identifier":{"issn":["0022-040X"],"eissn":["1945-743X"]},"language":[{"iso":"eng"}],"month":"05","page":"209-268","main_file_link":[{"url":"https://arxiv.org/abs/2109.04233","open_access":"1"}],"project":[{"name":"Bridging Scales in Random Materials","call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","grant_number":"948819"}],"status":"public","quality_controlled":"1","year":"2025"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes","oa_version":"Published Version","title":"Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers","external_id":{"arxiv":["2504.07752","2504.07770"]},"department":[{"_id":"UlWa"}],"ddc":["510"],"date_created":"2025-07-13T22:01:22Z","file":[{"file_name":"2025_LIPIcs.SoCG_Streltsova.pdf","creator":"dernst","date_created":"2025-07-14T07:11:04Z","success":1,"checksum":"a8f7feb1aa3b896e31195841a989d622","content_type":"application/pdf","date_updated":"2025-07-14T07:11:04Z","file_id":"20015","access_level":"open_access","file_size":952807,"relation":"main_file"}],"date_published":"2025-06-20T00:00:00Z","_id":"20004","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["9783959773706"],"eissn":["1868-8969"]},"has_accepted_license":"1","month":"06","quality_controlled":"1","year":"2025","status":"public","fulldoi":"https://doi.org/10.4230/LIPIcs.SoCG.2025.75","OA_place":"publisher","file_date_updated":"2025-07-14T07:11:04Z","corr_author":"1","abstract":[{"lang":"eng","text":"A long-standing conjecture of Eckhoff, Linhart, and Welzl, which would generalize McMullen’s Upper Bound Theorem for polytopes and refine asymptotic bounds due to Clarkson, asserts that for k ⩽ ⌊(n-d-2)/2⌋, the complexity of the (⩽ k)-level in a simple arrangement of n hemispheres in S^d is maximized for arrangements that are polar duals of neighborly d-polytopes. We prove this conjecture in the case n = d+4. By Gale duality, this implies the following result about crossing numbers: In every spherical arc drawing of K_n in S² (given by a set V ⊂ S² of n unit vectors connected by spherical arcs), the number of crossings is at least 1/4 ⌊n/2⌋ ⌊(n-1)/2⌋ ⌊(n-2)/2⌋ ⌊(n-3)/2⌋. This lower bound is attained if every open linear halfspace contains at least ⌊(n-2)/2⌋ of the vectors in V.\r\nMoreover, we determine the space of all linear and affine relations that hold between the face numbers of levels in simple arrangements of n hemispheres in S^d. This completes a long line of research on such relations, answers a question posed by Andrzejak and Welzl in 2003, and generalizes the classical fact that the Dehn-Sommerville relations generate all linear relations between the face numbers of simple polytopes (which correspond to the 0-level).\r\nTo prove these results, we introduce the notion of the g-matrix, which encodes the face numbers of levels in an arrangement and generalizes the classical g-vector of a polytope."}],"arxiv":1,"publication_status":"published","day":"20","conference":{"name":"SoCG: Symposium on Computational Geometry","location":"Kanazawa, Japan","start_date":"2025-06-23","end_date":"2025-06-27"},"OA_type":"gold","author":[{"first_name":"Elizaveta","id":"57a170da-dc96-11ea-b7c8-ab3565071bf7","full_name":"Streltsova, Elizaveta","last_name":"Streltsova"},{"last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Wagner, Uli","first_name":"Uli","orcid":"0000-0002-1494-0568"}],"date_updated":"2026-07-07T13:03:16Z","intvolume":"       332","doi":"10.4230/LIPIcs.SoCG.2025.75","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","scopus_import":"1","oa":1,"volume":332,"publication":"41st International Symposium on Computational Geometry","type":"conference","das_tickbox":"1","article_number":"75","alternative_title":["LIPIcs"],"citation":{"apa":"Streltsova, E., &#38; Wagner, U. (2025). Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. In <i>41st International Symposium on Computational Geometry</i> (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">https://doi.org/10.4230/LIPIcs.SoCG.2025.75</a>","ieee":"E. Streltsova and U. Wagner, “Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers,” in <i>41st International Symposium on Computational Geometry</i>, Kanazawa, Japan, 2025, vol. 332.","ista":"Streltsova E, Wagner U. 2025. Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 75.","short":"E. Streltsova, U. Wagner, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.","mla":"Streltsova, Elizaveta, and Uli Wagner. “Levels in Arrangements: Linear Relations, the g-Matrix, and Applications to Crossing Numbers.” <i>41st International Symposium on Computational Geometry</i>, vol. 332, 75, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">10.4230/LIPIcs.SoCG.2025.75</a>.","ama":"Streltsova E, Wagner U. Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. In: <i>41st International Symposium on Computational Geometry</i>. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">10.4230/LIPIcs.SoCG.2025.75</a>","chicago":"Streltsova, Elizaveta, and Uli Wagner. “Levels in Arrangements: Linear Relations, the g-Matrix, and Applications to Crossing Numbers.” In <i>41st International Symposium on Computational Geometry</i>, Vol. 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">https://doi.org/10.4230/LIPIcs.SoCG.2025.75</a>."}},{"OA_type":"hybrid","author":[{"full_name":"Kun, Daniel","first_name":"Daniel","last_name":"Kun"},{"last_name":"Strömberg","full_name":"Strömberg, Karl T","first_name":"Karl T","id":"68011cd2-da32-11ee-a930-b2774c7aba5f"},{"full_name":"Spagnolo, Michele","first_name":"Michele","last_name":"Spagnolo"},{"full_name":"Dakić, Borivoje","first_name":"Borivoje","last_name":"Dakić"},{"last_name":"Rozema","full_name":"Rozema, Lee A.","first_name":"Lee A."},{"first_name":"Philip","full_name":"Walther, Philip","last_name":"Walther"}],"article_type":"letter_note","fulldoi":"https://doi.org/10.1103/PhysRevA.111.L050402","OA_place":"publisher","file_date_updated":"2025-05-28T09:16:03Z","abstract":[{"lang":"eng","text":"One of the most striking quantum phenomena is superposition, where one particle simultaneously inhabits different states. Most methods to verify coherent superposition are indirect, in that they require the distinct states to be recombined. Here, we adapt an xor game, in which a “test” photon is placed in a superposition of two orthogonal spatial modes, and each mode is sent to separated parties who perform local measurements on their modes without reinterfering the original modes. We show that by using a second identical “measurement” photon the parties are nonetheless able to verify if the test photon was placed in coherent superposition of the two spatial modes. We then turn this game into a resource-efficient verification scheme, obtaining a confidence that the particle is superposed which approaches unity exponentially fast. We demonstrate our scheme using a single photon, obtaining a 99% confidence that the particle is superposed with only 37 copies. Our work shows the utility of xor games to verify quantum resources, allowing us to efficiently detect quantum superposition without reinterfering the superposed modes."}],"researchdata_availability":"yes","arxiv":1,"publication_status":"published","day":"16","publication":"Physical Review A","volume":111,"type":"journal_article","issue":"5","das_tickbox":"1","article_number":"L050402","citation":{"ista":"Kun D, Strömberg KT, Spagnolo M, Dakić B, Rozema LA, Walther P. 2025. Direct and efficient detection of quantum superposition. Physical Review A. 111(5), L050402.","short":"D. Kun, K.T. Strömberg, M. Spagnolo, B. Dakić, L.A. Rozema, P. Walther, Physical Review A 111 (2025).","ama":"Kun D, Strömberg KT, Spagnolo M, Dakić B, Rozema LA, Walther P. Direct and efficient detection of quantum superposition. <i>Physical Review A</i>. 2025;111(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">10.1103/PhysRevA.111.L050402</a>","mla":"Kun, Daniel, et al. “Direct and Efficient Detection of Quantum Superposition.” <i>Physical Review A</i>, vol. 111, no. 5, L050402, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">10.1103/PhysRevA.111.L050402</a>.","chicago":"Kun, Daniel, Karl T Strömberg, Michele Spagnolo, Borivoje Dakić, Lee A. Rozema, and Philip Walther. “Direct and Efficient Detection of Quantum Superposition.” <i>Physical Review A</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">https://doi.org/10.1103/PhysRevA.111.L050402</a>.","apa":"Kun, D., Strömberg, K. T., Spagnolo, M., Dakić, B., Rozema, L. A., &#38; Walther, P. (2025). Direct and efficient detection of quantum superposition. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">https://doi.org/10.1103/PhysRevA.111.L050402</a>","ieee":"D. Kun, K. T. Strömberg, M. Spagnolo, B. Dakić, L. A. Rozema, and P. Walther, “Direct and efficient detection of quantum superposition,” <i>Physical Review A</i>, vol. 111, no. 5. American Physical Society, 2025."},"dataavailabilitystatement":"Data that support the findings of this study are openly available at Zenodo.","intvolume":"       111","date_updated":"2026-07-07T14:05:51Z","doi":"10.1103/PhysRevA.111.L050402","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"scopus_import":"1","publisher":"American Physical Society","oa":1,"supplementarymaterial":"yes","department":[{"_id":"OnHo"}],"ddc":["530"],"file":[{"file_name":"2025_PhysReviewA_Kun.pdf","creator":"dernst","success":1,"date_created":"2025-05-28T09:16:03Z","checksum":"b83295a8f597b7781d8e7bfa3b393b42","file_id":"19755","content_type":"application/pdf","date_updated":"2025-05-28T09:16:03Z","access_level":"open_access","relation":"main_file","file_size":571784}],"date_created":"2025-05-25T22:16:54Z","date_published":"2025-05-16T00:00:00Z","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","article_processing_charge":"No","oa_version":"Published Version","related_material":{"record":[{"id":"22142","relation":"research_data","status":"public"}]},"title":"Direct and efficient detection of quantum superposition","acknowledgement":"This project has received funding from the European Union's Horizon 2020 and Horizon Europe research and innovation programmes under Grant Agreements No. 899368 (EPIQUS) and No. 101135288 (EPIQUE), the Marie Skłodowska-Curie Grant Agreement No. 956071 (AppQInfo), and the QuantERA II Programme under Grant Agreement No. 101017733 (PhoMemtor). The financial support by the Austrian Federal Ministry of Labour and Economy, the National Foundation for Research, Technology and Development, and the Christian Doppler Research Association is gratefully acknowledged. L.A.R. acknowledges support from the Erwin Schrödinger Center for Quantum Science & Technology (ESQ Discovery). This research was funded in whole or in part from the Austrian Science Fund (FWF) through [Grant No. 10.55776/COE1] (Quantum Science Austria), [Grant No. 10.55776/F71] (BeyondC), [Grant No. 10.55776/FG5] (Research Group 5), [Grant No. 10.55776/I6002] (PhoMemtor), and [Grant No. 10.55776/P36994] (Quantum Interference).","isi":1,"external_id":{"isi":["001501941500006"],"arxiv":["2405.08065"]},"status":"public","quality_controlled":"1","year":"2025","_id":"19733","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2469-9926"],"eissn":["2469-9934"]},"has_accepted_license":"1","month":"05"},{"date_updated":"2026-07-07T14:05:51Z","_id":"22142","doi":"10.5281/zenodo.13375452","publisher":"Zenodo","month":"4","oa":1,"type":"research_data_reference","main_file_link":[{"url":"https://doi.org/10.5281/zenodo.13375452","open_access":"1"}],"citation":{"chicago":"Kun, Daniel. “Direct And Efficient Detection of Quantum Superposition - Data and Figures.” Zenodo, 2025. <a href=\"https://doi.org/10.5281/zenodo.13375452\">https://doi.org/10.5281/zenodo.13375452</a>.","short":"D. Kun, (2025).","ista":"Kun D. 2025. Direct And Efficient Detection of Quantum Superposition - Data and Figures, Zenodo, <a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>.","ama":"Kun D. Direct And Efficient Detection of Quantum Superposition - Data and Figures. 2025. doi:<a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>","mla":"Kun, Daniel. <i>Direct And Efficient Detection of Quantum Superposition - Data and Figures</i>. Zenodo, 2025, doi:<a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>.","ieee":"D. Kun, “Direct And Efficient Detection of Quantum Superposition - Data and Figures.” Zenodo, 2025.","apa":"Kun, D. (2025). Direct And Efficient Detection of Quantum Superposition - Data and Figures. Zenodo. <a href=\"https://doi.org/10.5281/zenodo.13375452\">https://doi.org/10.5281/zenodo.13375452</a>"},"status":"public","year":"2025","OA_place":"repository","fulldoi":"https://doi.org/10.5281/zenodo.13375452","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_processing_charge":"No","abstract":[{"lang":"eng","text":"Data to generate Figures from the Letter \"Direct and Efficient Detection of Quantum Superposition\" published in APS Physical Review A.\r\nThe code can be found on the provided GitLab repository."}],"title":"Direct And Efficient Detection of Quantum Superposition - Data and Figures","related_material":{"record":[{"id":"19733","relation":"used_in_publication","status":"public"}]},"oa_version":"Published Version","day":"24","OA_type":"green","department":[{"_id":"OnHo"}],"ddc":["530"],"author":[{"last_name":"Kun","full_name":"Kun, Daniel","first_name":"Daniel"}],"contributor":[{"last_name":"Rozema","contributor_type":"researcher","first_name":"Lee"},{"contributor_type":"researcher","first_name":"Teodor","last_name":"Stroemberg"},{"last_name":"Walther","first_name":"Philip","contributor_type":"supervisor"},{"contributor_type":"supervisor","first_name":"Borivoje","last_name":"Dakic"}],"date_created":"2026-06-25T11:08:53Z","date_published":"2025-04-24T00:00:00Z"},{"_id":"22155","extern":"1","month":"09","publication_identifier":{"issn":["0895-4801"],"eissn":["1095-7146"]},"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.08644","open_access":"1"}],"page":"1491-1519","year":"2025","quality_controlled":"1","status":"public","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","mathsc":["05D10"],"external_id":{"arxiv":["2410.08644"]},"title":"Canonical Ramsey numbers of sparse graphs","oa_version":"Preprint","date_published":"2025-09-01T00:00:00Z","date_created":"2026-06-29T10:49:48Z","doi":"10.1137/24m1714964","intvolume":"        39","date_updated":"2026-07-08T07:38:44Z","oa":1,"publisher":"Society for Industrial & Applied Mathematics","scopus_import":"1","issue":"3","type":"journal_article","volume":39,"publication":"SIAM Journal on Discrete Mathematics","citation":{"chicago":"Gishboliner, Lior, Aleksa Milojević, Benny Sudakov, and Yuval Wigderson. “Canonical Ramsey Numbers of Sparse Graphs.” <i>SIAM Journal on Discrete Mathematics</i>. Society for Industrial &#38; Applied Mathematics, 2025. <a href=\"https://doi.org/10.1137/24m1714964\">https://doi.org/10.1137/24m1714964</a>.","ama":"Gishboliner L, Milojević A, Sudakov B, Wigderson Y. Canonical Ramsey numbers of sparse graphs. <i>SIAM Journal on Discrete Mathematics</i>. 2025;39(3):1491-1519. doi:<a href=\"https://doi.org/10.1137/24m1714964\">10.1137/24m1714964</a>","mla":"Gishboliner, Lior, et al. “Canonical Ramsey Numbers of Sparse Graphs.” <i>SIAM Journal on Discrete Mathematics</i>, vol. 39, no. 3, Society for Industrial &#38; Applied Mathematics, 2025, pp. 1491–519, doi:<a href=\"https://doi.org/10.1137/24m1714964\">10.1137/24m1714964</a>.","ista":"Gishboliner L, Milojević A, Sudakov B, Wigderson Y. 2025. Canonical Ramsey numbers of sparse graphs. SIAM Journal on Discrete Mathematics. 39(3), 1491–1519.","short":"L. Gishboliner, A. Milojević, B. Sudakov, Y. Wigderson, SIAM Journal on Discrete Mathematics 39 (2025) 1491–1519.","ieee":"L. Gishboliner, A. Milojević, B. Sudakov, and Y. Wigderson, “Canonical Ramsey numbers of sparse graphs,” <i>SIAM Journal on Discrete Mathematics</i>, vol. 39, no. 3. Society for Industrial &#38; Applied Mathematics, pp. 1491–1519, 2025.","apa":"Gishboliner, L., Milojević, A., Sudakov, B., &#38; Wigderson, Y. (2025). Canonical Ramsey numbers of sparse graphs. <i>SIAM Journal on Discrete Mathematics</i>. Society for Industrial &#38; Applied Mathematics. <a href=\"https://doi.org/10.1137/24m1714964\">https://doi.org/10.1137/24m1714964</a>"},"abstract":[{"text":"The canonical Ramsey theorem of Erdős and Rado implies that for any graph 𝐻, any edge-coloring (with an arbitrary number of colors) of a sufficiently large complete graph 𝐾𝑁 contains a monochromatic, lexicographic, or rainbow copy of 𝐻. The least such 𝑁 is called the Erdős–Rado number of 𝐻, denoted by 𝐸⁢𝑅⁡(𝐻). Erdős–Rado numbers of cliques have received considerable attention, and in this paper we extend this line of research by studying Erdős–Rado numbers of sparse graphs. For example, we prove that if 𝐻 has bounded degree, then 𝐸⁢𝑅⁡(𝐻) is polynomial in |𝑉⁡(𝐻)| if 𝐻 is bipartite but exponential in general. We also study the closely related problem of constrained Ramsey numbers. For a given tree S and given path 𝑃𝑡, we study the minimum 𝑁 such that every edge-coloring of 𝐾𝑁 contains a monochromatic copy of S or a rainbow copy of 𝑃𝑡. We prove a nearly optimal upper bound for this problem, which differs from the best known lower bound by a function of inverse Ackermann type.","lang":"eng"}],"OA_place":"repository","fulldoi":"https://doi.org/10.1137/24m1714964","publication_status":"published","day":"01","arxiv":1,"author":[{"full_name":"Gishboliner, Lior","first_name":"Lior","last_name":"Gishboliner"},{"first_name":"Aleksa","full_name":"Milojević, Aleksa","last_name":"Milojević"},{"last_name":"Sudakov","full_name":"Sudakov, Benny","first_name":"Benny"},{"full_name":"Wigderson, Yuval","first_name":"Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","last_name":"Wigderson"}],"OA_type":"green","article_type":"original"},{"_id":"19636","has_accepted_license":"1","month":"04","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2196-0763"]},"quality_controlled":"1","year":"2025","status":"public","article_processing_charge":"Yes","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","isi":1,"external_id":{"arxiv":["2412.14960"],"isi":["001489653300001"]},"oa_version":"Published Version","title":"Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop","acknowledgement":"We acknowledge the support of the CERN Physics Beyond Collider activity, the CERN Quantum Technology Initiative, the Long Range Broad Agency Announcement (BAA) for the Navy and Marine Corps Science and Technology programme, Hannover Leibniz University, and the Physics Department at Imperial College London, whose contributions were instrumental in supporting the workshop that laid the foundation for this paper.\r\nThe workshop was partially funded by contributions from the Long Range Broad Agency Announcement (BAA) for the Navy and Marine Corps Science and Technology programme, Hannover Leibniz University, and the Physics Department at Imperial College London.","ddc":["530"],"department":[{"_id":"OnHo"}],"date_published":"2025-04-03T00:00:00Z","date_created":"2025-05-04T22:02:30Z","file":[{"file_size":14352192,"relation":"main_file","access_level":"open_access","file_id":"19653","date_updated":"2025-05-05T10:52:52Z","content_type":"application/pdf","checksum":"00c7a97d87f7a6314df5b0c2213fbb02","success":1,"date_created":"2025-05-05T10:52:52Z","creator":"dernst","file_name":"2025_EPJQuantumTech_Abdalla.pdf"}],"doi":"10.1140/epjqt/s40507-025-00344-3","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)"},"date_updated":"2026-07-08T09:29:52Z","intvolume":"        12","supplementarymaterial":"no","oa":1,"publisher":"Springer Nature","scopus_import":"1","das_tickbox":"1","publication":"EPJ Quantum Technology","volume":12,"DOAJ_listed":"1","type":"journal_article","article_number":"42","dataavailabilitystatement":"No datasets were generated or analysed during the current study.","citation":{"chicago":"Abdalla, Adam, Mahiro Abe, Sven Abend, Mouine Abidi, Monika Aidelsburger, Ashkan Alibabaei, Baptiste Allard, et al. “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the Second Workshop.” <i>EPJ Quantum Technology</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">https://doi.org/10.1140/epjqt/s40507-025-00344-3</a>.","ista":"Abdalla A et al. 2025. Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. EPJ Quantum Technology. 12, 42.","short":"A. Abdalla, M. Abe, S. Abend, M. Abidi, M. Aidelsburger, A. Alibabaei, B. Allard, J. Antoniadis, G. Arduini, N. Augst, P. Balamatsias, A. Balaž, H. Banks, R.L. Barcklay, M. Barone, M. Barsanti, M.G. Bason, A. Bassi, J.B. Bayle, C.F.A. Baynham, Q. Beaufils, S. Beldjoudi, A. Belić, S. Bennetts, J. Bernabeu, A. Bertoldi, C. Bigard, N.P. Bigelow, R. Bingham, D. Blas, A. Bobrick, S. Boehringer, A. Bogojević, K. Bongs, D. Bortoletto, P. Bouyer, C. Brand, O. Buchmueller, G. Buica, S. Calatroni, L. Calmels, P. Canizares, B. Canuel, A. Caramete, L.I. Caramete, M. Carlesso, J. Carlton, S.P. Carman, A. Carroll, M. Casariego, M. Chairetis, V. Charmandaris, U. Chauhan, J. Chen, M.L.M.L.M. Chiofalo, D. Ciampini, A. Cimbri, P. Cladé, J. Coleman, F.L. Constantin, C.R. Contaldi, R. Corgier, B. Dash, G.J. Davies, C. De Rham, A. De Roeck, D. Derr, S. Dey, F. Di Pumpo, G.S. Djordjevic, B. Döbrich, P. Dornan, M. Doser, G. Drougakis, J. Dunningham, A. Duspayev, S. Easo, J. Eby, M. Efremov, G. Elertas, J. Ellis, N. Entin, S. Fairhurst, M. Fanì, F. Fassi, P. Fayet, D. Felea, J. Feng, R. Flack, C. Foot, T. Freegarde, E. Fuchs, N. Gaaloul, D. Gao, S. Gardner, B.M. Garraway, C.L. Garrido Alzar, A. Gauguet, E. Giese, P. Gill, G.F. Giudice, E.P. Glasbrenner, J. Glick, P.W. Graham, E. Granados, P.F. Griffin, J. Gué, S. Guellati-Khelifa, S. Gupta, V. Gupta, L. Hackermueller, M. Haehnelt, T. Hakulinen, K. Hammerer, E.T. Hanımeli, T. Harte, S. Hartmann, L. Hawkins, A. Hees, A. Herbst, T.M. Hird, R. Hobson, J. Hogan, B. Holst, M. Holynski, O. Hosten, C.C. Hsu, W.C.W. Huang, K.M. Hughes, K. Hussain, G. Hütsi, A. Iovino, M.C. Isfan, G. Janson, P. Jeglič, P. Jetzer, Y. Jiang, G. Juzeliūnas, W. Kaenders, M. Kalliokoski, A. Kehagias, E. Kilian, C. Klempt, P. Knight, S. Koley, B. Konrad, T. Kovachy, M. Krutzik, M. Kumar, P. Kumar, H. Labiad, S.Y. Lan, A. Landragin, G. Landsberg, M. Langlois, B. Lanigan, B. Leone, C. Le Poncin-Lafitte, S. Lellouch, M. Lewicki, Y.H. Lien, L. Lombriser, E.L. Asamar, J.L. Lopez-Gonzalez, C. Lu, G.G. Luciano, N. Lundblad, C. De J. López Monjaraz, A. Lowe, M. Mackoit-Sinkevičienė, M. Maggiore, A. Majumdar, K. Makris, A. Maleknejad, A.L. Marchant, A. Mariotti, C. Markou, B. Matthews, A. Mazumdar, C. Mccabe, M. Meister, G. Mentasti, J. Menu, G. Messineo, B. Meyer-Hoppe, S. Micalizio, F. Migliaccio, P. Millington, M. Milosevic, A. Mishra, J. Mitchell, G.W. Morley, N. Mouelle, J. Müller, D. Newbold, W.T. Ni, C. Niehof, J. Noller, S. Odžak, D.K.L. Oi, A. Oikonomou, Y. Omar, C. Overstreet, V. Puthiya Veettil, J. Pahl, S. Paling, Z. Pan, G. Pappas, V. Pareek, E. Pasatembou, M. Paternostro, V.K. Pathak, E. Pelucchi, F. Pereira Dos Santos, A. Peters, A. Pichery, I. Pikovski, A. Pilaftsis, F.C. Pislan, R. Plunkett, R. Poggiani, M. Prevedelli, J. Rafelski, J. Raidal, M. Raidal, E.M. Rasel, S. Renaux-Petel, A. Richaud, P. Rivero-Antunez, T. Rodzinka, A. Roura, J. Rudolph, D. Sabulsky, M.S. Safronova, M. Sakellariadou, L. Salvi, M. Sameed, S. Sarkar, P. Schach, S.A. Schäffer, J. Schelfhout, M. Schilling, V. Schkolnik, W.P. Schleich, D. Schlippert, U. Schneider, F. Schreck, A. Schwartzman, N. Schwersenz, O. Sergijenko, H.R. Sfar, L. Shao, I. Shipsey, J. Shu, Y. Singh, C.F. Sopuerta, M. Sorba, F. Sorrentino, A.D.A.M. Spallicci, P. Stefanescu, N. Stergioulas, D. Stoerk, H. Thaivalappil Sunilkumar, J. Ströhle, Z. Tam, D. Tandon, Y. Tang, D. Tell, J. Tempere, D.J. Temples, R.P. Thampy, I.C. Tietje, G.M. Tino, J.N. Tinsley, O. Tintareanu Mircea, K. Tkalčec, A.J. Tolley, V. Tornatore, A. Torres-Orjuela, P. Treutlein, A. Trombettoni, C. Ufrecht, J. Urrutia, T. Valenzuela, L.R. Valerio, M. Van Der Grinten, V. Vaskonen, V. Vázquez-Aceves, H. Veermäe, F. Vetrano, N.V. Vitanov, W. Von Klitzing, S. Wald, T. Walker, R. Walser, J. Wang, Y. Wang, C.A. Weidner, A. Wenzlawski, M. Werner, L. Wörner, M.E. Yahia, E. Yazgan, E. Zambrini Cruzeiro, M. Zarei, M. Zhan, S. Zhang, L. Zhou, E. Zupanič, EPJ Quantum Technology 12 (2025).","ama":"Abdalla A, Abe M, Abend S, et al. Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. <i>EPJ Quantum Technology</i>. 2025;12. doi:<a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">10.1140/epjqt/s40507-025-00344-3</a>","mla":"Abdalla, Adam, et al. “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the Second Workshop.” <i>EPJ Quantum Technology</i>, vol. 12, 42, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">10.1140/epjqt/s40507-025-00344-3</a>.","ieee":"A. Abdalla <i>et al.</i>, “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop,” <i>EPJ Quantum Technology</i>, vol. 12. Springer Nature, 2025.","apa":"Abdalla, A., Abe, M., Abend, S., Abidi, M., Aidelsburger, M., Alibabaei, A., … Zupanič, E. (2025). Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. <i>EPJ Quantum Technology</i>. Springer Nature. <a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">https://doi.org/10.1140/epjqt/s40507-025-00344-3</a>"},"abstract":[{"lang":"eng","text":"This summary of the second Terrestrial Very-Long-Baseline Atom Interferometry (TVLBAI) Workshop provides a comprehensive overview of our meeting held in London in April 2024 (Second Terrestrial Very-Long-Baseline Atom Interferometry Workshop, Imperial College, April 2024), building on the initial discussions during the inaugural workshop held at CERN in March 2023 (First Terrestrial Very-Long-Baseline Atom Interferometry Workshop, CERN, March 2023). Like the summary of the first workshop (Abend et al. in AVS Quantum Sci. 6:024701, 2024), this document records a critical milestone for the international atom interferometry community. It documents our concerted efforts to evaluate progress, address emerging challenges, and refine strategic directions for future large-scale atom interferometry projects. Our commitment to collaboration is manifested by the integration of diverse expertise and the coordination of international resources, all aimed at advancing the frontiers of atom interferometry physics and technology, as set out in a Memorandum of Understanding signed by over 50 institutions (Memorandum of Understanding for the Terrestrial Very Long Baseline Atom Interferometer Study)."}],"fulldoi":"https://doi.org/10.1140/epjqt/s40507-025-00344-3","OA_place":"publisher","file_date_updated":"2025-05-05T10:52:52Z","day":"03","publication_status":"published","arxiv":1,"researchdata_availability":"no","author":[{"last_name":"Abdalla","full_name":"Abdalla, Adam","first_name":"Adam"},{"last_name":"Abe","full_name":"Abe, Mahiro","first_name":"Mahiro"},{"first_name":"Sven","full_name":"Abend, Sven","last_name":"Abend"},{"last_name":"Abidi","full_name":"Abidi, Mouine","first_name":"Mouine"},{"last_name":"Aidelsburger","full_name":"Aidelsburger, Monika","first_name":"Monika"},{"last_name":"Alibabaei","first_name":"Ashkan","full_name":"Alibabaei, Ashkan"},{"first_name":"Baptiste","full_name":"Allard, Baptiste","last_name":"Allard"},{"last_name":"Antoniadis","full_name":"Antoniadis, John","first_name":"John"},{"last_name":"Arduini","first_name":"Gianluigi","full_name":"Arduini, Gianluigi"},{"last_name":"Augst","full_name":"Augst, Nadja","first_name":"Nadja"},{"full_name":"Balamatsias, Philippos","first_name":"Philippos","last_name":"Balamatsias"},{"first_name":"Antun","full_name":"Balaž, Antun","last_name":"Balaž"},{"last_name":"Banks","full_name":"Banks, Hannah","first_name":"Hannah"},{"full_name":"Barcklay, Rachel L.","first_name":"Rachel L.","last_name":"Barcklay"},{"full_name":"Barone, Michele","first_name":"Michele","last_name":"Barone"},{"last_name":"Barsanti","full_name":"Barsanti, Michele","first_name":"Michele"},{"last_name":"Bason","first_name":"Mark G.","full_name":"Bason, Mark G."},{"last_name":"Bassi","full_name":"Bassi, Angelo","first_name":"Angelo"},{"full_name":"Bayle, Jean Baptiste","first_name":"Jean Baptiste","last_name":"Bayle"},{"last_name":"Baynham","full_name":"Baynham, Charles F.A.","first_name":"Charles F.A."},{"last_name":"Beaufils","first_name":"Quentin","full_name":"Beaufils, Quentin"},{"last_name":"Beldjoudi","full_name":"Beldjoudi, Sélyan","first_name":"Sélyan"},{"full_name":"Belić, Aleksandar","first_name":"Aleksandar","last_name":"Belić"},{"last_name":"Bennetts","full_name":"Bennetts, Shayne","first_name":"Shayne"},{"last_name":"Bernabeu","first_name":"Jose","full_name":"Bernabeu, Jose"},{"full_name":"Bertoldi, Andrea","first_name":"Andrea","last_name":"Bertoldi"},{"last_name":"Bigard","first_name":"Clara","full_name":"Bigard, Clara"},{"last_name":"Bigelow","first_name":"N. 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A.","last_name":"Weidner"},{"last_name":"Wenzlawski","full_name":"Wenzlawski, André","first_name":"André"},{"last_name":"Werner","first_name":"Michael","full_name":"Werner, Michael"},{"first_name":"Lisa","full_name":"Wörner, Lisa","last_name":"Wörner"},{"first_name":"Mohamed E.","full_name":"Yahia, Mohamed E.","last_name":"Yahia"},{"full_name":"Yazgan, Efe","first_name":"Efe","last_name":"Yazgan"},{"full_name":"Zambrini Cruzeiro, Emmanuel","first_name":"Emmanuel","last_name":"Zambrini Cruzeiro"},{"full_name":"Zarei, M.","first_name":"M.","last_name":"Zarei"},{"last_name":"Zhan","full_name":"Zhan, Mingsheng","first_name":"Mingsheng"},{"last_name":"Zhang","first_name":"Shengnan","full_name":"Zhang, Shengnan"},{"last_name":"Zhou","first_name":"Lin","full_name":"Zhou, Lin"},{"last_name":"Zupanič","full_name":"Zupanič, Erik","first_name":"Erik"}],"OA_type":"gold","article_type":"review"},{"month":"01","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0024-6115"],"eissn":["1460-244X"]},"extern":"1","_id":"22157","year":"2025","status":"public","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2402.03045","open_access":"1"}],"external_id":{"arxiv":["2402.03045"]},"mathsc":["05C70","05D10","05C80"],"oa_version":"Preprint","title":"Resolution of the Kohayakawa–Kreuter conjecture","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2025-01-01T00:00:00Z","date_created":"2026-06-29T10:50:35Z","ddc":["500"],"oa":1,"publisher":"Wiley","scopus_import":"1","doi":"10.1112/plms.70013","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"date_updated":"2026-07-08T10:24:21Z","intvolume":"       130","article_number":"e70013","citation":{"apa":"Christoph, M., Martinsson, A., Steiner, R., &#38; Wigderson, Y. (2025). Resolution of the Kohayakawa–Kreuter conjecture. <i>Proceedings of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/plms.70013\">https://doi.org/10.1112/plms.70013</a>","ieee":"M. Christoph, A. Martinsson, R. Steiner, and Y. Wigderson, “Resolution of the Kohayakawa–Kreuter conjecture,” <i>Proceedings of the London Mathematical Society</i>, vol. 130, no. 1. Wiley, 2025.","mla":"Christoph, Micha, et al. “Resolution of the Kohayakawa–Kreuter Conjecture.” <i>Proceedings of the London Mathematical Society</i>, vol. 130, no. 1, e70013, Wiley, 2025, doi:<a href=\"https://doi.org/10.1112/plms.70013\">10.1112/plms.70013</a>.","ama":"Christoph M, Martinsson A, Steiner R, Wigderson Y. Resolution of the Kohayakawa–Kreuter conjecture. <i>Proceedings of the London Mathematical Society</i>. 2025;130(1). doi:<a href=\"https://doi.org/10.1112/plms.70013\">10.1112/plms.70013</a>","short":"M. Christoph, A. Martinsson, R. Steiner, Y. Wigderson, Proceedings of the London Mathematical Society 130 (2025).","ista":"Christoph M, Martinsson A, Steiner R, Wigderson Y. 2025. Resolution of the Kohayakawa–Kreuter conjecture. Proceedings of the London Mathematical Society. 130(1), e70013.","chicago":"Christoph, Micha, Anders Martinsson, Raphael Steiner, and Yuval Wigderson. “Resolution of the Kohayakawa–Kreuter Conjecture.” <i>Proceedings of the London Mathematical Society</i>. Wiley, 2025. <a href=\"https://doi.org/10.1112/plms.70013\">https://doi.org/10.1112/plms.70013</a>."},"issue":"1","volume":130,"publication":"Proceedings of the London Mathematical Society","type":"journal_article","arxiv":1,"publication_status":"published","day":"01","abstract":[{"lang":"eng","text":"A graph 𝐺 is said to be Ramsey for a tuple of graphs(𝐻 1 , … , 𝐻𝑟 ) if every 𝑟-coloring of the edges of 𝐺 con-tains a monochromatic copy of 𝐻𝑖 in color 𝑖, for some 𝑖.A fundamental question at the intersection of Ramseytheory and the theory of random graphs is to deter-mine the threshold at which the binomial randomgraph 𝐺𝑛,𝑝 becomes asymptotically almost surely Ram-sey for a fixed tuple (𝐻 1 , … , 𝐻𝑟 ), and a famous conjectureof Kohayakawa and Kreuter predicts this threshold.Earlier work of Mousset–Nenadov–Samotij, Bowtell–Hancock–Hyde, and Kuperwasser–Samotij–Wigdersonhas reduced this probabilistic problem to a determinis-tic graph decomposition conjecture. In this paper, weresolve this deterministic problem, thus proving theKohayakawa–Kreuter conjecture. Along the way, weprove a number of novel graph decomposition resultsthat may be of independent interest."}],"fulldoi":"https://doi.org/10.1112/plms.70013","OA_place":"repository","article_type":"original","author":[{"full_name":"Christoph, Micha","first_name":"Micha","last_name":"Christoph"},{"last_name":"Martinsson","full_name":"Martinsson, Anders","first_name":"Anders"},{"first_name":"Raphael","full_name":"Steiner, Raphael","last_name":"Steiner"},{"last_name":"Wigderson","first_name":"Yuval","full_name":"Wigderson, Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5"}],"OA_type":"green"},{"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2301.07693"}],"quality_controlled":"1","status":"public","year":"2025","extern":"1","_id":"22158","publication_identifier":{"issn":["2050-5094"]},"language":[{"iso":"eng"}],"month":"02","date_created":"2026-06-29T10:51:07Z","date_published":"2025-02-10T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Preprint","title":"An efficient asymmetric removal lemma and its limitations","external_id":{"arxiv":["2301.07693"]},"mathsc":["05C35","11B75"],"publication":"Forum of Mathematics, Sigma","volume":13,"type":"journal_article","article_number":"e38","citation":{"chicago":"Gishboliner, Lior, Asaf Shapira, and Yuval Wigderson. “An Efficient Asymmetric Removal Lemma and Its Limitations.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/fms.2024.68\">https://doi.org/10.1017/fms.2024.68</a>.","ama":"Gishboliner L, Shapira A, Wigderson Y. An efficient asymmetric removal lemma and its limitations. <i>Forum of Mathematics, Sigma</i>. 2025;13. doi:<a href=\"https://doi.org/10.1017/fms.2024.68\">10.1017/fms.2024.68</a>","mla":"Gishboliner, Lior, et al. “An Efficient Asymmetric Removal Lemma and Its Limitations.” <i>Forum of Mathematics, Sigma</i>, vol. 13, e38, Cambridge University Press, 2025, doi:<a href=\"https://doi.org/10.1017/fms.2024.68\">10.1017/fms.2024.68</a>.","ista":"Gishboliner L, Shapira A, Wigderson Y. 2025. An efficient asymmetric removal lemma and its limitations. Forum of Mathematics, Sigma. 13, e38.","short":"L. Gishboliner, A. Shapira, Y. Wigderson, Forum of Mathematics, Sigma 13 (2025).","ieee":"L. Gishboliner, A. Shapira, and Y. Wigderson, “An efficient asymmetric removal lemma and its limitations,” <i>Forum of Mathematics, Sigma</i>, vol. 13. Cambridge University Press, 2025.","apa":"Gishboliner, L., Shapira, A., &#38; Wigderson, Y. (2025). An efficient asymmetric removal lemma and its limitations. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2024.68\">https://doi.org/10.1017/fms.2024.68</a>"},"date_updated":"2026-07-08T10:31:22Z","intvolume":"        13","doi":"10.1017/fms.2024.68","scopus_import":"1","publisher":"Cambridge University Press","oa":1,"OA_type":"green","author":[{"first_name":"Lior","full_name":"Gishboliner, Lior","last_name":"Gishboliner"},{"last_name":"Shapira","full_name":"Shapira, Asaf","first_name":"Asaf"},{"last_name":"Wigderson","first_name":"Yuval","full_name":"Wigderson, Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5"}],"article_type":"original","fulldoi":"https://doi.org/10.1017/fms.2024.68","OA_place":"repository","abstract":[{"lang":"eng","text":"The triangle removal states that if G contains  edge-disjoint triangles, then G contains  triangles. Unfortunately, there are no sensible bounds on the order of growth of , and at any rate, it is known that  is not polynomial in . Csaba recently obtained an asymmetric variant of the triangle removal, stating that if G contains  edge-disjoint triangles, then G contains  copies of . To this end, he devised a new variant of Szemerédi’s regularity lemma. We obtain the following results:\r\n\r\n• We first give a regularity-free proof of Csaba’s theorem, which improves the number of copies of  to the optimal number .\r\n\r\n• We say that H is -abundant if every graph containing  edge-disjoint triangles has  copies of H. It is easy to see that a -abundant graph must be triangle-free and tripartite. Given our first result, it is natural to ask if all triangle-free tripartite graphs are -abundant. Our second result is that assuming a well-known conjecture of Ruzsa in additive number theory, the answer to this question is negative.\r\n\r\nOur proofs use a mix of combinatorial, number-theoretic, probabilistic and Ramsey-type arguments."}],"publication_status":"published","arxiv":1,"day":"10"}]
