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Quadrix. 2026. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-21971\">10.15479/AT-ISTA-21971</a>","ieee":"Y. Bokor Bleile and E. Cortinovis, “Quadrix.” Institute of Science and Technology Austria, 2026.","apa":"Bokor Bleile, Y., &#38; Cortinovis, E. (2026). Quadrix. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-21971\">https://doi.org/10.15479/AT-ISTA-21971</a>","mla":"Bokor Bleile, Yossi, and Emanuele Cortinovis. <i>Quadrix</i>. Institute of Science and Technology Austria, 2026, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-21971\">10.15479/AT-ISTA-21971</a>.","short":"Y. Bokor Bleile, E. Cortinovis, (2026).","ista":"Bokor Bleile Y, Cortinovis E. 2026. Quadrix, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT-ISTA-21971\">10.15479/AT-ISTA-21971</a>.","chicago":"Bokor Bleile, Yossi, and Emanuele Cortinovis. “Quadrix.” Institute of Science and Technology Austria, 2026. <a href=\"https://doi.org/10.15479/AT-ISTA-21971\">https://doi.org/10.15479/AT-ISTA-21971</a>."},"keyword":["quadratics","mathematics","dendrites","geometry","topology"],"tmp":{"name":"The MIT License","short":"MIT","legal_code_url":"https://opensource.org/licenses/MIT"},"publisher":"Institute of Science and Technology Austria","_id":"21971","oa":1,"type":"software","department":[{"_id":"HeEd"}],"title":"Quadrix","author":[{"full_name":"Bleile, Yossi","id":"920a7385-7995-11ef-9bfd-8c434cd8f3c2","first_name":"Yossi","orcid":"0000-0002-4861-9174","last_name":"Bleile"},{"last_name":"Cortinovis","first_name":"Emanuele","full_name":"Cortinovis, Emanuele"}],"project":[{"_id":"9106a876-16d5-11f0-9cad-bbf11c9952f9","grant_number":"ESP 9584724","name":"Quantitative Unbiased Shape Analysis with Geometry & Topology"}],"date_published":"2026-06-15T00:00:00Z","has_accepted_license":"1","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","corr_author":"1","year":"2026","month":"06","date_updated":"2026-06-15T23:00:03Z","date_created":"2026-06-09T19:19:13Z","doi":"10.15479/AT-ISTA-21971"},{"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"22255"}]},"department":[{"_id":"VaKa"},{"_id":"LaEr"}],"type":"preprint","doi":"10.48550/ARXIV.2511.10398","date_updated":"2026-07-20T14:58:23Z","date_created":"2026-07-14T12:51:50Z","month":"11","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","arxiv":1,"corr_author":"1","oa_version":"Preprint","OA_type":"green","day":"13","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2511.10398"}],"OA_place":"repository","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.48550/ARXIV.2511.10398","citation":{"ista":"Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv, <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>.","chicago":"Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral Rigidity of Liouville Tori.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">https://doi.org/10.48550/ARXIV.2511.10398</a>.","short":"S.J. Henheik, V. Kaloshin, Y. Li, A. Vig, ArXiv (n.d.).","ama":"Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>","mla":"Henheik, Sven Joscha, et al. “Spectral Rigidity of Liouville Tori.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">10.48550/ARXIV.2511.10398</a>.","apa":"Henheik, S. J., Kaloshin, V., Li, Y., &#38; Vig, A. (n.d.). Spectral rigidity of Liouville tori. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2511.10398\">https://doi.org/10.48550/ARXIV.2511.10398</a>","ieee":"S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville tori,” <i>arXiv</i>. ."},"date_published":"2025-11-13T00:00:00Z","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik"},{"orcid":"0000-0002-6051-2628","first_name":"Vadim","last_name":"Kaloshin","full_name":"Kaloshin, Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"},{"full_name":"Li, Yunzhe","id":"41cb05d3-f128-11eb-9611-e4e2b3cfba31","first_name":"Yunzhe","last_name":"Li"},{"last_name":"Vig","first_name":"Amir","full_name":"Vig, Amir","id":"49d58dd5-45f5-11ec-9f86-8ce1276989b9"}],"title":"Spectral rigidity of Liouville tori","publication_status":"draft","year":"2025","license":"https://creativecommons.org/licenses/by/4.0/","language":[{"iso":"eng"}],"status":"public","abstract":[{"lang":"eng","text":"We show that Laplace isospectral deformations within a conformal class of generic Liouville metrics on the two-dimensional torus that are linear in the deformation parameter are necessarily trivial. Two of the main ingredients in our proof are a noncancellation result for the wave trace and an analysis of the second order variational formula for the energy functional associated to closed geodesics. Noncancellation allows us to detect parts of the length spectrum from the Laplace spectrum and conclude rational integrability for the deformed geodesic flow (Liouville metrics are folklorically conjectured to be the only Riemannian metrics with integrable geodesic flow on the torus). We then use the second variational formula to show how the preservation of a single rational torus is sufficient to conclude triviality of the deformation, assuming linearity. We also present some evidence that our hypothesis of linearity may indeed be necessary."}],"publication":"arXiv","_id":"22340","article_processing_charge":"No","external_id":{"arxiv":["2511.10398"]},"keyword":["Differential Geometry (math.DG)","Mathematical Physics (math-ph)","Dynamical Systems (math.DS)","Spectral Theory (math.SP)","FOS: Mathematics","FOS: Mathematics","FOS: Physical sciences","FOS: Physical sciences","58J42","37J35","37J35","35P20","58J40","58J50","37D40"]},{"OA_type":"green","day":"03","citation":{"short":"Y. Li, ArXiv (n.d.).","chicago":"Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">https://doi.org/10.48550/ARXIV.2512.03865</a>.","ista":"Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv, <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>.","apa":"Li, Y. (n.d.). Deformations of the standard map with prescribed actions and Lyapunov exponents. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">https://doi.org/10.48550/ARXIV.2512.03865</a>","ieee":"Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov exponents,” <i>arXiv</i>. .","mla":"Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>.","ama":"Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2512.03865\">10.48550/ARXIV.2512.03865</a>"},"fulldoi":"https://doi.org/10.48550/ARXIV.2512.03865","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2512.03865","open_access":"1"}],"OA_place":"repository","department":[{"_id":"VaKa"}],"ec_funded":1,"type":"preprint","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"22255"}]},"project":[{"grant_number":"885707","call_identifier":"H2020","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","name":"Spectral rigidity and integrability for billiards and geodesic flows"}],"month":"12","corr_author":"1","arxiv":1,"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa_version":"Preprint","date_updated":"2026-07-20T14:58:23Z","doi":"10.48550/ARXIV.2512.03865","date_created":"2026-07-14T13:02:29Z","publication":"arXiv","status":"public","acknowledgement":" The author would like to thank Vadim Kaloshin for initiating this project and for his guidance throughout its development. The author also\r\nthanks Abed Bounemoura, Bassam Fayad, Mathieu Helfter, Comlan Edmond Koudjinan, Illya Koval, Yi Pan, and Daniel Tsodikovich for many helpful discussions. The\r\nfinancial support of the ERC grant SPERIG #885707 is gratefully acknowledged.","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We construct nontrivial deformations of the standard map which preserve the symplectic actions, respectively the Lyapunov exponents, of infinitely many periodic orbits accumulating to an invariant curve. The proof uses a resonant normal-form construction to obtain a sequence of periodic orbits accumulating on an invariant curve with a Liouville rotation number. Within these normal forms we capture the dependence of these periodic orbits on the resonant Fourier coefficients of the dynamics on the invariant curve and, using the contraction mapping principle, obtain a suitable deformation achieving the prescribed spectral data associated with this sequence of orbits. The result can be viewed as a symplectic twist-map analogue of a length spectral nonrigidity phenomenon for Riemannian manifolds and convex billiards, and it motivates the existence problem for similar 'partially length-isospectral' deformations of strictly convex billiard tables."}],"external_id":{"arxiv":["2512.03865"]},"keyword":["Dynamical Systems (math.DS)","FOS: Mathematics","FOS: Mathematics"],"_id":"22341","article_processing_charge":"No","author":[{"full_name":"Li, Yunzhe","id":"41cb05d3-f128-11eb-9611-e4e2b3cfba31","last_name":"Li","first_name":"Yunzhe"}],"title":"Deformations of the standard map with prescribed actions and Lyapunov exponents","date_published":"2025-12-03T00:00:00Z","publication_status":"draft","year":"2025"},{"month":"03","oa_version":"Published Version","ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"doi":"10.1007/s40072-022-00277-3","date_updated":"2024-07-22T09:30:40Z","date_created":"2023-01-12T12:12:29Z","department":[{"_id":"JuFi"}],"type":"journal_article","page":"53-133","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["2194-041X"],"issn":["2194-0401"]},"fulldoi":"https://doi.org/10.1007/s40072-022-00277-3","citation":{"ieee":"A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive equations with transport noise and turbulent pressure,” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, vol. 12. Springer Nature, pp. 53–133, 2024.","mla":"Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, vol. 12, Springer Nature, 2024, pp. 53–133, doi:<a href=\"https://doi.org/10.1007/s40072-022-00277-3\">10.1007/s40072-022-00277-3</a>.","apa":"Agresti, A., Hieber, M., Hussein, A., &#38; Saal, M. (2024). The stochastic primitive equations with transport noise and turbulent pressure. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40072-022-00277-3\">https://doi.org/10.1007/s40072-022-00277-3</a>","ama":"Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations with transport noise and turbulent pressure. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. 2024;12:53-133. doi:<a href=\"https://doi.org/10.1007/s40072-022-00277-3\">10.1007/s40072-022-00277-3</a>","chicago":"Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s40072-022-00277-3\">https://doi.org/10.1007/s40072-022-00277-3</a>.","ista":"Agresti A, Hieber M, Hussein A, Saal M. 2024. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. 12, 53–133.","short":"A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential Equations: Analysis and Computations 12 (2024) 53–133."},"oa":1,"scopus_import":"1","article_type":"original","day":"01","file":[{"date_updated":"2024-07-22T09:29:48Z","date_created":"2024-07-22T09:29:48Z","relation":"main_file","file_id":"17297","file_name":"2024_StochasticsEquations_Agresti.pdf","file_size":1206413,"checksum":"59c9000761134d681bdf9d482664044c","creator":"dernst","content_type":"application/pdf","success":1,"access_level":"open_access"}],"file_date_updated":"2024-07-22T09:29:48Z","publication_status":"published","has_accepted_license":"1","year":"2024","isi":1,"author":[{"last_name":"Agresti","first_name":"Antonio","orcid":"0000-0002-9573-2962","full_name":"Agresti, Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72"},{"last_name":"Hieber","first_name":"Matthias","full_name":"Hieber, Matthias"},{"last_name":"Hussein","first_name":"Amru","full_name":"Hussein, Amru"},{"last_name":"Saal","first_name":"Martin","full_name":"Saal, Martin"}],"title":"The stochastic primitive equations with transport noise and turbulent pressure","date_published":"2024-03-01T00:00:00Z","external_id":{"arxiv":["2109.09561"],"isi":["000874389000001"]},"quality_controlled":"1","keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"_id":"12178","publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","volume":12,"publication":"Stochastics and Partial Differential Equations: Analysis and Computations","abstract":[{"lang":"eng","text":"In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal L² regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well."}],"status":"public","intvolume":"        12","acknowledgement":"The authors thank the anonymous referees for their helpful comments and suggestions. Open Access funding enabled and organized by Projekt DEAL.","language":[{"iso":"eng"}]},{"volume":2024,"publication":"International Mathematics Research Notices","abstract":[{"text":"We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for GLn(k). Let k be an algebraically closed field of characteristic p>n. Let X be a smooth projective curve over k with marked points, and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod) of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman to the tamely ramified case. We also prove a correspondence between flat connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles .","lang":"eng"}],"acknowledgement":"This work was supported by the NSF [DMS-1502125to S.S.]; and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins for many helpful discussions on this subject and for his comments on this paper. I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments on an earlier version of this paper.","language":[{"iso":"eng"}],"intvolume":"      2024","status":"public","issue":"7","external_id":{"arxiv":["1810.12491"],"isi":["001157898100001"]},"quality_controlled":"1","keyword":["General Mathematics"],"_id":"14986","article_processing_charge":"Yes (via OA deal)","publisher":"Oxford University Press","author":[{"full_name":"Shen, Shiyu","id":"544cccd3-9005-11ec-87bc-94aef1c5b814","last_name":"Shen","orcid":"0000-0002-4444-8718","first_name":"Shiyu"}],"title":"Tamely ramified geometric Langlands correspondence in positive characteristic","date_published":"2024-04-01T00:00:00Z","publication_status":"published","has_accepted_license":"1","year":"2024","isi":1,"article_type":"original","PlanS_conform":"1","OA_type":"hybrid","day":"01","file":[{"file_id":"17308","file_name":"2024_IMRN_Shen.pdf","file_size":1488981,"relation":"main_file","date_created":"2024-07-22T11:41:57Z","date_updated":"2024-07-22T11:41:57Z","creator":"dernst","content_type":"application/pdf","checksum":"e3cd31ebb2e79b5b1f34d1c4ac9f5b0f","success":1,"access_level":"open_access"}],"file_date_updated":"2024-07-22T11:41:57Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"fulldoi":"https://doi.org/10.1093/imrn/rnae005","citation":{"short":"S. Shen, International Mathematics Research Notices 2024 (2024) 6176–6208.","ista":"Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024(7), 6176–6208.","chicago":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2024. <a href=\"https://doi.org/10.1093/imrn/rnae005\">https://doi.org/10.1093/imrn/rnae005</a>.","ama":"Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic. <i>International Mathematics Research Notices</i>. 2024;2024(7):6176-6208. doi:<a href=\"https://doi.org/10.1093/imrn/rnae005\">10.1093/imrn/rnae005</a>","ieee":"S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,” <i>International Mathematics Research Notices</i>, vol. 2024, no. 7. Oxford University Press, pp. 6176–6208, 2024.","apa":"Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive characteristic. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnae005\">https://doi.org/10.1093/imrn/rnae005</a>","mla":"Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” <i>International Mathematics Research Notices</i>, vol. 2024, no. 7, Oxford University Press, 2024, pp. 6176–208, doi:<a href=\"https://doi.org/10.1093/imrn/rnae005\">10.1093/imrn/rnae005</a>."},"publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"scopus_import":"1","oa":1,"OA_place":"publisher","ec_funded":1,"department":[{"_id":"TaHa"}],"type":"journal_article","project":[{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program"}],"page":"6176-6208","month":"04","oa_version":"Published Version","ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","arxiv":1,"doi":"10.1093/imrn/rnae005","date_created":"2024-02-14T12:16:17Z","date_updated":"2025-09-09T08:30:06Z"},{"day":"01","article_type":"original","citation":{"chicago":"Baig, Mirza Ahad, Danny Hendler, Alessia Milani, and Corentin Travers. “Long-Lived Counters with Polylogarithmic Amortized Step Complexity.” <i>Distributed Computing</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00446-022-00439-5\">https://doi.org/10.1007/s00446-022-00439-5</a>.","ista":"Baig MA, Hendler D, Milani A, Travers C. 2023. Long-lived counters with polylogarithmic amortized step complexity. Distributed Computing. 36, 29–43.","short":"M.A. Baig, D. Hendler, A. Milani, C. Travers, Distributed Computing 36 (2023) 29–43.","ieee":"M. A. Baig, D. Hendler, A. Milani, and C. Travers, “Long-lived counters with polylogarithmic amortized step complexity,” <i>Distributed Computing</i>, vol. 36. Springer Nature, pp. 29–43, 2023.","mla":"Baig, Mirza Ahad, et al. “Long-Lived Counters with Polylogarithmic Amortized Step Complexity.” <i>Distributed Computing</i>, vol. 36, Springer Nature, 2023, pp. 29–43, doi:<a href=\"https://doi.org/10.1007/s00446-022-00439-5\">10.1007/s00446-022-00439-5</a>.","apa":"Baig, M. A., Hendler, D., Milani, A., &#38; Travers, C. (2023). Long-lived counters with polylogarithmic amortized step complexity. <i>Distributed Computing</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00446-022-00439-5\">https://doi.org/10.1007/s00446-022-00439-5</a>","ama":"Baig MA, Hendler D, Milani A, Travers C. Long-lived counters with polylogarithmic amortized step complexity. <i>Distributed Computing</i>. 2023;36:29-43. doi:<a href=\"https://doi.org/10.1007/s00446-022-00439-5\">10.1007/s00446-022-00439-5</a>"},"fulldoi":"https://doi.org/10.1007/s00446-022-00439-5","publication_identifier":{"issn":["0178-2770"],"eissn":["1432-0452"]},"main_file_link":[{"open_access":"1","url":"https://drops.dagstuhl.de/opus/volltexte/2019/11310/"}],"scopus_import":"1","oa":1,"type":"journal_article","department":[{"_id":"KrPi"}],"page":"29-43","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"03","doi":"10.1007/s00446-022-00439-5","date_updated":"2023-08-16T08:39:36Z","date_created":"2023-01-12T12:10:08Z","volume":36,"publication":"Distributed Computing","abstract":[{"lang":"eng","text":"A shared-memory counter is a widely-used and well-studied concurrent object. It supports two operations: An Inc operation that increases its value by 1 and a Read operation that returns its current value. In Jayanti et al (SIAM J Comput, 30(2), 2000), Jayanti, Tan and Toueg proved a linear lower bound on the worst-case step complexity of obstruction-free implementations, from read-write registers, of a large class of shared objects that includes counters. The lower bound leaves open the question of finding counter implementations with sub-linear amortized step complexity. In this work, we address this gap. We show that n-process, wait-free and linearizable counters can be implemented from read-write registers with O(log2n) amortized step complexity. This is the first counter algorithm from read-write registers that provides sub-linear amortized step complexity in executions of arbitrary length. Since a logarithmic lower bound on the amortized step complexity of obstruction-free counter implementations exists, our upper bound is within a logarithmic factor of the optimal. The worst-case step complexity of the construction remains linear, which is optimal. This is obtained thanks to a new max register construction with O(logn) amortized step complexity in executions of arbitrary length in which the value stored in the register does not grow too quickly. We then leverage an existing counter algorithm by Aspnes, Attiya and Censor-Hillel [1] in which we “plug” our max register implementation to show that it remains linearizable while achieving O(log2n) amortized step complexity."}],"status":"public","intvolume":"        36","acknowledgement":"A preliminary version of this work appeared in DISC’19. Mirza Ahad Baig, Alessia Milani and Corentin Travers are supported by ANR projects Descartes and FREDDA. Mirza Ahad Baig is supported by UMI Relax. Danny Hendler is supported by the Israel Science Foundation (Grants 380/18 and 1425/22).","language":[{"iso":"eng"}],"keyword":["Computational Theory and Mathematics","Computer Networks and Communications","Hardware and Architecture","Theoretical Computer Science"],"quality_controlled":"1","external_id":{"isi":["000890138700001"]},"publisher":"Springer Nature","article_processing_charge":"No","_id":"12164","title":"Long-lived counters with polylogarithmic amortized step complexity","author":[{"full_name":"Baig, Mirza Ahad","id":"3EDE6DE4-AA5A-11E9-986D-341CE6697425","first_name":"Mirza Ahad","last_name":"Baig"},{"first_name":"Danny","last_name":"Hendler","full_name":"Hendler, Danny"},{"full_name":"Milani, Alessia","first_name":"Alessia","last_name":"Milani"},{"first_name":"Corentin","last_name":"Travers","full_name":"Travers, Corentin"}],"date_published":"2023-03-01T00:00:00Z","year":"2023","publication_status":"published","isi":1},{"publication_status":"published","year":"2023","has_accepted_license":"1","isi":1,"author":[{"last_name":"Boissonnat","first_name":"Jean-Daniel","full_name":"Boissonnat, Jean-Daniel"},{"full_name":"Dyer, Ramsay","first_name":"Ramsay","last_name":"Dyer"},{"full_name":"Ghosh, Arijit","first_name":"Arijit","last_name":"Ghosh"},{"orcid":"0000-0002-7472-2220","first_name":"Mathijs","last_name":"Wintraecken","id":"307CFBC8-F248-11E8-B48F-1D18A9856A87","full_name":"Wintraecken, Mathijs"}],"title":"Local criteria for triangulating general manifolds","date_published":"2023-01-01T00:00:00Z","external_id":{"isi":["000862193600001"]},"keyword":["Computational Theory and Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Theoretical Computer Science"],"quality_controlled":"1","_id":"12287","article_processing_charge":"No","publisher":"Springer Nature","publication":"Discrete & Computational Geometry","volume":69,"acknowledgement":"This work has been funded by the European Research Council under the European Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). Arijit Ghosh is supported by Ramanujan Fellowship (No. SB/S2/RJN-064/2015). Part of this work was done when Arijit Ghosh was a Researcher at Max-Planck-Institute for Informatics, Germany, supported by the IndoGerman Max Planck Center for Computer Science (IMPECS). Mathijs Wintraecken also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Austrian Science Fund (FWF): M-3073. A part of the results described in this paper were presented at SoCG 2018 and in [3]. \r\nOpen access funding provided by the Austrian Science Fund (FWF).","intvolume":"        69","language":[{"iso":"eng"}],"status":"public","abstract":[{"text":"We present criteria for establishing a triangulation of a manifold. Given a manifold M, a simplicial complex A, and a map H from the underlying space of A to M, our criteria are presented in local coordinate charts for M, and ensure that H is a homeomorphism. These criteria do not require a differentiable structure, or even an explicit metric on M. No Delaunay property of A is assumed. The result provides a triangulation guarantee for algorithms that construct a simplicial complex by working in local coordinate patches. Because the criteria are easily verified in such a setting, they are expected to be of general use.","lang":"eng"}],"month":"01","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","oa_version":"Published Version","ddc":["510"],"date_updated":"2025-04-14T07:44:00Z","doi":"10.1007/s00454-022-00431-7","date_created":"2023-01-16T10:04:06Z","department":[{"_id":"HeEd"}],"ec_funded":1,"type":"journal_article","page":"156-191","project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411"},{"grant_number":"M03073","_id":"fc390959-9c52-11eb-aca3-afa58bd282b2","name":"Learning and triangulating manifolds via collapses"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"fulldoi":"https://doi.org/10.1007/s00454-022-00431-7","citation":{"chicago":"Boissonnat, Jean-Daniel, Ramsay Dyer, Arijit Ghosh, and Mathijs Wintraecken. “Local Criteria for Triangulating General Manifolds.” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00454-022-00431-7\">https://doi.org/10.1007/s00454-022-00431-7</a>.","ista":"Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. 2023. Local criteria for triangulating general manifolds. Discrete &#38; Computational Geometry. 69, 156–191.","short":"J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete &#38; Computational Geometry 69 (2023) 156–191.","apa":"Boissonnat, J.-D., Dyer, R., Ghosh, A., &#38; Wintraecken, M. (2023). Local criteria for triangulating general manifolds. <i>Discrete &#38; Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-022-00431-7\">https://doi.org/10.1007/s00454-022-00431-7</a>","ieee":"J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” <i>Discrete &#38; Computational Geometry</i>, vol. 69. Springer Nature, pp. 156–191, 2023.","mla":"Boissonnat, Jean-Daniel, et al. “Local Criteria for Triangulating General Manifolds.” <i>Discrete &#38; Computational Geometry</i>, vol. 69, Springer Nature, 2023, pp. 156–91, doi:<a href=\"https://doi.org/10.1007/s00454-022-00431-7\">10.1007/s00454-022-00431-7</a>.","ama":"Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. Local criteria for triangulating general manifolds. <i>Discrete &#38; Computational Geometry</i>. 2023;69:156-191. doi:<a href=\"https://doi.org/10.1007/s00454-022-00431-7\">10.1007/s00454-022-00431-7</a>"},"oa":1,"scopus_import":"1","article_type":"original","day":"01","file":[{"access_level":"open_access","success":1,"content_type":"application/pdf","creator":"dernst","checksum":"46352e0ee71e460848f88685ca852681","file_name":"2023_DiscreteCompGeometry_Boissonnat.pdf","file_size":582850,"file_id":"12488","date_updated":"2023-02-02T11:01:10Z","date_created":"2023-02-02T11:01:10Z","relation":"main_file"}],"file_date_updated":"2023-02-02T11:01:10Z"},{"type":"journal_article","department":[{"_id":"UlWa"}],"ec_funded":1,"project":[{"grant_number":"101034413","call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program"}],"page":"38-79","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","month":"01","date_updated":"2025-05-14T10:51:32Z","date_created":"2023-02-16T07:03:52Z","doi":"10.1137/20m1378223","day":"01","article_type":"original","fulldoi":"https://doi.org/10.1137/20m1378223","publication_identifier":{"issn":["0097-5397"],"eissn":["1095-7111"]},"citation":{"short":"A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52 (2023) 38–79.","chicago":"Krokhin, Andrei, Jakub Opršal, Marcin Wrochna, and Stanislav Živný. “Topology and Adjunction in Promise Constraint Satisfaction.” <i>SIAM Journal on Computing</i>. Society for Industrial and Applied Mathematics, 2023. <a href=\"https://doi.org/10.1137/20m1378223\">https://doi.org/10.1137/20m1378223</a>.","ista":"Krokhin A, Opršal J, Wrochna M, Živný S. 2023. Topology and adjunction in promise constraint satisfaction. SIAM Journal on Computing. 52(1), 38–79.","ieee":"A. Krokhin, J. Opršal, M. Wrochna, and S. Živný, “Topology and adjunction in promise constraint satisfaction,” <i>SIAM Journal on Computing</i>, vol. 52, no. 1. Society for Industrial and Applied Mathematics, pp. 38–79, 2023.","mla":"Krokhin, Andrei, et al. “Topology and Adjunction in Promise Constraint Satisfaction.” <i>SIAM Journal on Computing</i>, vol. 52, no. 1, Society for Industrial and Applied Mathematics, 2023, pp. 38–79, doi:<a href=\"https://doi.org/10.1137/20m1378223\">10.1137/20m1378223</a>.","apa":"Krokhin, A., Opršal, J., Wrochna, M., &#38; Živný, S. (2023). Topology and adjunction in promise constraint satisfaction. <i>SIAM Journal on Computing</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/20m1378223\">https://doi.org/10.1137/20m1378223</a>","ama":"Krokhin A, Opršal J, Wrochna M, Živný S. Topology and adjunction in promise constraint satisfaction. <i>SIAM Journal on Computing</i>. 2023;52(1):38-79. doi:<a href=\"https://doi.org/10.1137/20m1378223\">10.1137/20m1378223</a>"},"scopus_import":"1","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2003.11351","open_access":"1"}],"title":"Topology and adjunction in promise constraint satisfaction","author":[{"first_name":"Andrei","last_name":"Krokhin","full_name":"Krokhin, Andrei"},{"id":"ec596741-c539-11ec-b829-c79322a91242","full_name":"Opršal, Jakub","last_name":"Opršal","first_name":"Jakub","orcid":"0000-0003-1245-3456"},{"full_name":"Wrochna, Marcin","last_name":"Wrochna","first_name":"Marcin"},{"full_name":"Živný, Stanislav","last_name":"Živný","first_name":"Stanislav"}],"date_published":"2023-01-01T00:00:00Z","year":"2023","publication_status":"published","isi":1,"publication":"SIAM Journal on Computing","volume":52,"intvolume":"        52","language":[{"iso":"eng"}],"status":"public","acknowledgement":"Andrei Krokhin and Jakub Opršal were supported by the UK EPSRC grant EP/R034516/1. Jakub Opršal has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413. Stanislav Živný was supported by a Royal Society University Research Fellowship. 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 714532). The paper re\u001eects only the authors’ views and not the views of the ERC or the European Commission. ","abstract":[{"text":"he approximate graph coloring problem, whose complexity is unresolved in most cases, concerns finding a c-coloring of a graph that is promised to be k-colorable, where c≥k. This problem naturally generalizes to promise graph homomorphism problems and further to promise constraint satisfaction problems. The complexity of these problems has recently been studied through an algebraic approach. In this paper, we introduce two new techniques to analyze the complexity of promise CSPs: one is based on topology and the other on adjunction. We apply these techniques, together with the previously introduced algebraic approach, to obtain new unconditional NP-hardness results for a significant class of approximate graph coloring and promise graph homomorphism problems.","lang":"eng"}],"quality_controlled":"1","keyword":["General Mathematics","General Computer Science"],"external_id":{"arxiv":["2003.11351"],"isi":["000955000000001"]},"issue":"1","publisher":"Society for Industrial and Applied Mathematics","article_processing_charge":"No","_id":"12563"},{"publication":"Forum of Mathematics, Pi","volume":11,"intvolume":"        11","status":"public","language":[{"iso":"eng"}],"acknowledgement":"Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research Fellowship.","abstract":[{"text":"An n-vertex graph is called C-Ramsey if it has no clique or independent set of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper, we study edge statistics in Ramsey graphs, in particular obtaining very precise control of the distribution of the number of edges in a random vertex subset of a C-Ramsey graph. This brings together two ongoing lines of research: the study of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds via an ‘additive structure’ dichotomy on the degree sequence and involves a wide range of different tools from Fourier analysis, random matrix theory, the theory of Boolean functions, probabilistic combinatorics and low-rank approximation. In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright theorem on small-ball probability for polynomials of Gaussians, which we believe is of independent interest. One of the consequences of our result is the resolution of an old conjecture of Erdős and McKay, for which Erdős reiterated in several of his open problem collections and for which he offered one of his notorious monetary prizes.","lang":"eng"}],"quality_controlled":"1","keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Analysis"],"external_id":{"isi":["001123866200001"],"arxiv":["2208.02874"]},"article_number":"e21","article_processing_charge":"Yes","publisher":"Cambridge University Press","_id":"14499","title":"Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture","author":[{"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","last_name":"Sah","first_name":"Ashwin"},{"last_name":"Sauermann","first_name":"Lisa","full_name":"Sauermann, Lisa"},{"full_name":"Sawhney, Mehtaab","first_name":"Mehtaab","last_name":"Sawhney"}],"date_published":"2023-08-24T00:00:00Z","year":"2023","has_accepted_license":"1","publication_status":"published","isi":1,"day":"24","article_type":"original","file_date_updated":"2023-11-07T09:16:23Z","file":[{"access_level":"open_access","success":1,"content_type":"application/pdf","creator":"dernst","checksum":"54b824098d59073cc87a308d458b0a3e","file_size":1218719,"file_name":"2023_ForumMathematics_Kwan.pdf","file_id":"14500","date_created":"2023-11-07T09:16:23Z","relation":"main_file","date_updated":"2023-11-07T09:16:23Z"}],"fulldoi":"https://doi.org/10.1017/fmp.2023.17","publication_identifier":{"issn":["2050-5086"]},"citation":{"short":"M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023).","ista":"Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11, e21.","chicago":"Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” <i>Forum of Mathematics, Pi</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fmp.2023.17\">https://doi.org/10.1017/fmp.2023.17</a>.","ama":"Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. <i>Forum of Mathematics, Pi</i>. 2023;11. doi:<a href=\"https://doi.org/10.1017/fmp.2023.17\">10.1017/fmp.2023.17</a>","ieee":"M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture,” <i>Forum of Mathematics, Pi</i>, vol. 11. Cambridge University Press, 2023.","mla":"Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” <i>Forum of Mathematics, Pi</i>, vol. 11, e21, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/fmp.2023.17\">10.1017/fmp.2023.17</a>.","apa":"Kwan, M. A., Sah, A., Sauermann, L., &#38; Sawhney, M. (2023). Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. <i>Forum of Mathematics, Pi</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fmp.2023.17\">https://doi.org/10.1017/fmp.2023.17</a>"},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","type":"journal_article","department":[{"_id":"MaKw"}],"project":[{"name":"Randomness and structure in combinatorics","_id":"bd95085b-d553-11ed-ba76-e55d3349be45","grant_number":"101076777"}],"corr_author":"1","arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Published Version","ddc":["510"],"month":"08","date_updated":"2025-09-09T13:16:15Z","doi":"10.1017/fmp.2023.17","date_created":"2023-11-07T09:02:48Z"},{"title":"Functional John and Löwner conditions for pairs of log-concave functions","author":[{"first_name":"Grigory","last_name":"Ivanov","full_name":"Ivanov, Grigory","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E"},{"last_name":"Naszódi","first_name":"Márton","full_name":"Naszódi, Márton"}],"date_published":"2023-12-01T00:00:00Z","publication_status":"published","has_accepted_license":"1","year":"2023","isi":1,"volume":2023,"publication":"International Mathematics Research Notices","abstract":[{"text":"John’s fundamental theorem characterizing the largest volume ellipsoid contained in a convex body $K$ in $\\mathbb{R}^{d}$ has seen several generalizations and extensions. One direction, initiated by V. Milman is to replace ellipsoids by positions (affine images) of another body $L$. Another, more recent direction is to consider logarithmically concave functions on $\\mathbb{R}^{d}$ instead of convex bodies: we designate some special, radially symmetric log-concave function $g$ as the analogue of the Euclidean ball, and want to find its largest integral position under the constraint that it is pointwise below some given log-concave function $f$. We follow both directions simultaneously: we consider the functional question, and allow essentially any meaningful function to play the role of $g$ above. Our general theorems jointly extend known results in both directions. The dual problem in the setting of convex bodies asks for the smallest volume ellipsoid, called Löwner’s ellipsoid, containing $K$. We consider the analogous problem for functions: we characterize the solutions of the optimization problem of finding a smallest integral position of some log-concave function $g$ under the constraint that it is pointwise above $f$. It turns out that in the functional setting, the relationship between the John and the Löwner problems is more intricate than it is in the setting of convex bodies.","lang":"eng"}],"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","intvolume":"      2023","status":"public","language":[{"iso":"eng"}],"acknowledgement":"We thank Alexander Litvak for the many discussions on Theorem 1.1. Igor Tsiutsiurupa participated in the early stage of this project. To our deep regret, Igor chose another road for his life and stopped working with us.\r\nThis work was supported by the János Bolyai Scholarship of the Hungarian Academy of Sciences [to M.N.]; the National Research, Development, and Innovation Fund (NRDI) [K119670 and K131529 to M.N.]; and the ÚNKP-22-5 New National Excellence Program of the Ministry for Innovation and Technology from the source of the NRDI [to M.N.].","issue":"23","external_id":{"arxiv":["2212.11781"],"isi":["001184146800001"]},"quality_controlled":"1","keyword":["General Mathematics"],"_id":"14737","publisher":"Oxford University Press","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"UlWa"}],"type":"journal_article","page":"20613-20669","month":"12","ddc":["510"],"oa_version":"Published Version","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","arxiv":1,"corr_author":"1","date_updated":"2025-09-09T14:08:25Z","date_created":"2024-01-08T09:48:56Z","doi":"10.1093/imrn/rnad210","article_type":"original","day":"01","file":[{"access_level":"open_access","success":1,"checksum":"353666cea80633beb0f1ffd342dff6d4","creator":"dernst","content_type":"application/pdf","date_created":"2024-01-08T09:53:09Z","date_updated":"2024-01-08T09:53:09Z","relation":"main_file","file_id":"14738","file_size":815777,"file_name":"2023_IMRN_Ivanov.pdf"}],"file_date_updated":"2024-01-08T09:53:09Z","tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"fulldoi":"https://doi.org/10.1093/imrn/rnad210","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"citation":{"ama":"Ivanov G, Naszódi M. Functional John and Löwner conditions for pairs of log-concave functions. <i>International Mathematics Research Notices</i>. 2023;2023(23):20613-20669. doi:<a href=\"https://doi.org/10.1093/imrn/rnad210\">10.1093/imrn/rnad210</a>","apa":"Ivanov, G., &#38; Naszódi, M. (2023). Functional John and Löwner conditions for pairs of log-concave functions. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnad210\">https://doi.org/10.1093/imrn/rnad210</a>","mla":"Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions for Pairs of Log-Concave Functions.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 23, Oxford University Press, 2023, pp. 20613–69, doi:<a href=\"https://doi.org/10.1093/imrn/rnad210\">10.1093/imrn/rnad210</a>.","ieee":"G. Ivanov and M. Naszódi, “Functional John and Löwner conditions for pairs of log-concave functions,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 23. Oxford University Press, pp. 20613–20669, 2023.","ista":"Ivanov G, Naszódi M. 2023. Functional John and Löwner conditions for pairs of log-concave functions. International Mathematics Research Notices. 2023(23), 20613–20669.","chicago":"Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions for Pairs of Log-Concave Functions.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2023. <a href=\"https://doi.org/10.1093/imrn/rnad210\">https://doi.org/10.1093/imrn/rnad210</a>.","short":"G. Ivanov, M. Naszódi, International Mathematics Research Notices 2023 (2023) 20613–20669."},"oa":1,"scopus_import":"1"},{"title":"A survey of vectorization methods in topological data analysis","author":[{"first_name":"Dashti","last_name":"Ali","full_name":"Ali, Dashti"},{"full_name":"Asaad, Aras","last_name":"Asaad","first_name":"Aras"},{"full_name":"Jimenez, Maria-Jose","first_name":"Maria-Jose","last_name":"Jimenez"},{"first_name":"Vidit","last_name":"Nanda","full_name":"Nanda, Vidit"},{"first_name":"Eduardo","last_name":"Paluzo-Hidalgo","full_name":"Paluzo-Hidalgo, Eduardo"},{"id":"15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8","full_name":"Soriano Trigueros, Manuel","first_name":"Manuel","orcid":"0000-0003-2449-1433","last_name":"Soriano Trigueros"}],"date_published":"2023-12-01T00:00:00Z","has_accepted_license":"1","year":"2023","publication_status":"published","isi":1,"volume":45,"publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","abstract":[{"lang":"eng","text":"Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In this paper, we study thirteen such methods. Besides describing an organizational framework for these methods, we comprehensively benchmark them against three well-known classification tasks. Surprisingly, we discover that the best-performing method is a simple vectorization, which consists only of a few elementary summary statistics. Finally, we provide a convenient web application which has been designed to facilitate exploration and experimentation with various vectorization methods."}],"language":[{"iso":"eng"}],"intvolume":"        45","status":"public","acknowledgement":"The work of Maria-Jose Jimenez, Eduardo Paluzo-Hidalgo and Manuel Soriano-Trigueros was supported in part by the Spanish grant Ministerio de Ciencia e Innovacion under Grants TED2021-129438B-I00 and PID2019-107339GB-I00, and in part by REXASI-PRO H-EU project, call HORIZON-CL4-2021-HUMAN-01-01 under Grant 101070028. The work of\r\nMaria-Jose Jimenez was supported by a grant of Convocatoria de la Universidad de Sevilla para la recualificacion del sistema universitario español, 2021-23, funded by the European Union, NextGenerationEU. The work of Vidit Nanda was supported in part by EPSRC under Grant EP/R018472/1 and in part by US AFOSR under Grant FA9550-22-1-0462. \r\nWe are grateful to the team of GUDHI and TEASPOON developers, for their work and their support. We are also grateful to Streamlit for providing extra resources to deploy the web app\r\nonline on Streamlit community cloud. We thank the anonymous referees for their helpful suggestions.","keyword":["Applied Mathematics","Artificial Intelligence","Computational Theory and Mathematics","Computer Vision and Pattern Recognition","Software"],"quality_controlled":"1","issue":"12","external_id":{"isi":["001104973300002"]},"publisher":"IEEE","article_processing_charge":"Yes (in subscription journal)","_id":"14739","type":"journal_article","department":[{"_id":"HeEd"}],"page":"14069-14080","oa_version":"Published Version","ddc":["000"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"12","doi":"10.1109/tpami.2023.3308391","date_updated":"2025-09-09T14:08:56Z","date_created":"2024-01-08T09:59:46Z","day":"01","article_type":"original","file_date_updated":"2024-01-08T10:09:14Z","file":[{"file_size":2370988,"file_name":"2023_IEEEToP_Ali.pdf","file_id":"14740","relation":"main_file","date_updated":"2024-01-08T10:09:14Z","date_created":"2024-01-08T10:09:14Z","content_type":"application/pdf","creator":"dernst","checksum":"465c28ef0b151b4b1fb47977ed5581ab","success":1,"access_level":"open_access"}],"fulldoi":"https://doi.org/10.1109/tpami.2023.3308391","citation":{"ama":"Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. A survey of vectorization methods in topological data analysis. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. 2023;45(12):14069-14080. doi:<a href=\"https://doi.org/10.1109/tpami.2023.3308391\">10.1109/tpami.2023.3308391</a>","apa":"Ali, D., Asaad, A., Jimenez, M.-J., Nanda, V., Paluzo-Hidalgo, E., &#38; Soriano Trigueros, M. (2023). A survey of vectorization methods in topological data analysis. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE. <a href=\"https://doi.org/10.1109/tpami.2023.3308391\">https://doi.org/10.1109/tpami.2023.3308391</a>","mla":"Ali, Dashti, et al. “A Survey of Vectorization Methods in Topological Data Analysis.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 45, no. 12, IEEE, 2023, pp. 14069–80, doi:<a href=\"https://doi.org/10.1109/tpami.2023.3308391\">10.1109/tpami.2023.3308391</a>.","ieee":"D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, and M. Soriano Trigueros, “A survey of vectorization methods in topological data analysis,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 45, no. 12. IEEE, pp. 14069–14080, 2023.","ista":"Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. 2023. A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. 45(12), 14069–14080.","chicago":"Ali, Dashti, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo, and Manuel Soriano Trigueros. “A Survey of Vectorization Methods in Topological Data Analysis.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/tpami.2023.3308391\">https://doi.org/10.1109/tpami.2023.3308391</a>.","short":"D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, M. Soriano Trigueros, IEEE Transactions on Pattern Analysis and Machine Intelligence 45 (2023) 14069–14080."},"publication_identifier":{"eissn":["1939-3539"],"issn":["0162-8828"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","oa":1},{"external_id":{"pmid":["36907214"],"isi":["000947761800008"]},"article_number":"0112","issue":"2246","quality_controlled":"1","keyword":["General Physics and Astronomy","General Engineering","General Mathematics"],"_id":"14754","publisher":"The Royal Society","article_processing_charge":"No","publication":"Philosophical Transactions of the Royal Society A","volume":381,"acknowledgement":"K.D.’s research was supported by Australian Research Council Discovery Early Career Researcher Award (DE170100171). B.W., R.A., F.M. and A.M. research was supported by the Spanish Ministerio de Economía y Competitividad (grant nos. FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant no. PID2020-114043GB-I00) and the Generalitat de Catalunya (grant no. 2017-SGR-785). B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC no. 201806440152). F.M. is a Serra-Húnter Fellow.","language":[{"iso":"eng"}],"intvolume":"       381","status":"public","abstract":[{"lang":"eng","text":"The large-scale laminar/turbulent spiral patterns that appear in the linearly unstable regime of counter-rotating Taylor–Couette flow are investigated from a statistical perspective by means of direct numerical simulation. Unlike the vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular domains, following a coordinate change that aligns one of the parallelogram sides with the spiral pattern. The domain size, shape and spatial resolution have been varied and the results compared with those in a sufficiently large computational orthogonal domain with natural axial and azimuthal periodicity. We find that a minimal parallelogram of the right tilt significantly reduces the computational cost without notably compromising the statistical properties of the supercritical turbulent spiral. Its mean structure, obtained from extremely long time integrations in a co-rotating reference frame using the method of slices, bears remarkable similarity with the turbulent stripes observed in plane Couette flow, the centrifugal instability playing only a secondary role."}],"publication_status":"published","year":"2023","has_accepted_license":"1","isi":1,"title":"Mean structure of the supercritical turbulent spiral in Taylor–Couette flow","author":[{"full_name":"Wang, B.","first_name":"B.","last_name":"Wang"},{"full_name":"Mellibovsky, F.","last_name":"Mellibovsky","first_name":"F."},{"id":"ab77522d-073b-11ed-8aff-e71b39258362","full_name":"Ayats López, Roger","last_name":"Ayats López","first_name":"Roger","orcid":"0000-0001-6572-0621"},{"last_name":"Deguchi","first_name":"K.","full_name":"Deguchi, K."},{"full_name":"Meseguer, A.","first_name":"A.","last_name":"Meseguer"}],"date_published":"2023-05-01T00:00:00Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"citation":{"short":"B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, A. Meseguer, Philosophical Transactions of the Royal Society A 381 (2023).","chicago":"Wang, B., F. Mellibovsky, Roger Ayats López, K. Deguchi, and A. Meseguer. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.” <i>Philosophical Transactions of the Royal Society A</i>. The Royal Society, 2023. <a href=\"https://doi.org/10.1098/rsta.2022.0112\">https://doi.org/10.1098/rsta.2022.0112</a>.","ista":"Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. 2023. Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions of the Royal Society A. 381(2246), 0112.","mla":"Wang, B., et al. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.” <i>Philosophical Transactions of the Royal Society A</i>, vol. 381, no. 2246, 0112, The Royal Society, 2023, doi:<a href=\"https://doi.org/10.1098/rsta.2022.0112\">10.1098/rsta.2022.0112</a>.","apa":"Wang, B., Mellibovsky, F., Ayats López, R., Deguchi, K., &#38; Meseguer, A. (2023). Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. <i>Philosophical Transactions of the Royal Society A</i>. The Royal Society. <a href=\"https://doi.org/10.1098/rsta.2022.0112\">https://doi.org/10.1098/rsta.2022.0112</a>","ieee":"B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, and A. Meseguer, “Mean structure of the supercritical turbulent spiral in Taylor–Couette flow,” <i>Philosophical Transactions of the Royal Society A</i>, vol. 381, no. 2246. The Royal Society, 2023.","ama":"Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. <i>Philosophical Transactions of the Royal Society A</i>. 2023;381(2246). doi:<a href=\"https://doi.org/10.1098/rsta.2022.0112\">10.1098/rsta.2022.0112</a>"},"fulldoi":"https://doi.org/10.1098/rsta.2022.0112","publication_identifier":{"issn":["1364-503X"],"eissn":["1471-2962"]},"oa":1,"scopus_import":"1","article_type":"original","day":"01","file":[{"access_level":"open_access","success":1,"creator":"dernst","content_type":"application/pdf","checksum":"1978d126c0ce2f47c22ac20107cc0106","file_id":"14763","file_size":6421086,"file_name":"2023_PhilTransactionsA_Wang_accepted.pdf","relation":"main_file","date_created":"2024-01-09T09:13:53Z","date_updated":"2024-01-09T09:13:53Z"}],"file_date_updated":"2024-01-09T09:13:53Z","month":"05","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Submitted Version","ddc":["530"],"date_created":"2024-01-08T13:11:45Z","doi":"10.1098/rsta.2022.0112","date_updated":"2025-09-09T14:14:17Z","department":[{"_id":"BjHo"}],"type":"journal_article","pmid":1},{"day":"02","article_type":"original","fulldoi":"https://doi.org/10.3233/asy-221775","publication_identifier":{"eissn":["1875-8576"],"issn":["0921-7134"]},"citation":{"ama":"Moser M. Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. <i>Asymptotic Analysis</i>. 2023;131(3-4):297-383. doi:<a href=\"https://doi.org/10.3233/asy-221775\">10.3233/asy-221775</a>","ieee":"M. Moser, “Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result,” <i>Asymptotic Analysis</i>, vol. 131, no. 3–4. IOS Press, pp. 297–383, 2023.","apa":"Moser, M. (2023). Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. <i>Asymptotic Analysis</i>. IOS Press. <a href=\"https://doi.org/10.3233/asy-221775\">https://doi.org/10.3233/asy-221775</a>","mla":"Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part I: Convergence Result.” <i>Asymptotic Analysis</i>, vol. 131, no. 3–4, IOS Press, 2023, pp. 297–383, doi:<a href=\"https://doi.org/10.3233/asy-221775\">10.3233/asy-221775</a>.","ista":"Moser M. 2023. Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. Asymptotic Analysis. 131(3–4), 297–383.","chicago":"Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part I: Convergence Result.” <i>Asymptotic Analysis</i>. IOS Press, 2023. <a href=\"https://doi.org/10.3233/asy-221775\">https://doi.org/10.3233/asy-221775</a>.","short":"M. Moser, Asymptotic Analysis 131 (2023) 297–383."},"oa":1,"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2105.07100"}],"type":"journal_article","department":[{"_id":"JuFi"}],"page":"297-383","arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","corr_author":"1","oa_version":"Preprint","month":"02","doi":"10.3233/asy-221775","date_updated":"2025-09-09T14:14:55Z","date_created":"2024-01-08T13:13:28Z","publication":"Asymptotic Analysis","volume":131,"status":"public","acknowledgement":"The author gratefully acknowledges support through DFG, GRK 1692 “Curvature,\r\nCycles and Cohomology” during parts of the work.","language":[{"iso":"eng"}],"intvolume":"       131","abstract":[{"text":"We consider the sharp interface limit for the scalar-valued and vector-valued Allen–Cahn equation with homogeneous Neumann boundary condition in a bounded smooth domain Ω of arbitrary dimension N ⩾ 2 in the situation when a two-phase diffuse interface has developed and intersects the boundary ∂ Ω. The limit problem is mean curvature flow with 90°-contact angle and we show convergence in strong norms for well-prepared initial data as long as a smooth solution to the limit problem exists. To this end we assume that the limit problem has a smooth solution on [ 0 , T ] for some time T &gt; 0. Based on the latter we construct suitable curvilinear coordinates and set up an asymptotic expansion for the scalar-valued and the vector-valued Allen–Cahn equation. In order to estimate the difference of the exact and approximate solutions with a Gronwall-type argument, a spectral estimate for the linearized Allen–Cahn operator in both cases is required. The latter will be shown in a separate paper, cf. (Moser (2021)).","lang":"eng"}],"quality_controlled":"1","keyword":["General Mathematics"],"external_id":{"isi":["000927801300001"],"arxiv":["2105.07100"]},"issue":"3-4","article_processing_charge":"No","publisher":"IOS Press","_id":"14755","author":[{"full_name":"Moser, Maximilian","id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c","first_name":"Maximilian","last_name":"Moser"}],"title":"Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result","date_published":"2023-02-02T00:00:00Z","year":"2023","publication_status":"published","isi":1},{"quality_controlled":"1","keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"external_id":{"isi":["001113615900001"],"arxiv":["2302.13502"]},"article_processing_charge":"Yes (in subscription journal)","publisher":"Elsevier","_id":"14780","publication":"Stochastic Processes and their Applications","volume":163,"language":[{"iso":"eng"}],"acknowledgement":"The authors would like to thank the editor, the associated editor and two anonymous referees for their many critical suggestions which have significantly improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee for many helpful discussions. The first author also wants to thank Hari Bercovici for many useful comments. The first author is partially supported by National Science Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","status":"public","intvolume":"       163","abstract":[{"lang":"eng","text":"In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩ for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence rates. Moreover, we prove that the non-outlier eigenvalues stick with those of the unspiked matrices and the non-outlier eigenvectors are delocalized. The results also hold near the so-called BBP transition and for degenerate spikes. On one hand, our results can be regarded as a refinement of the counterparts of [12] under additional regularity conditions. On the other hand, they can be viewed as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar random matrix."}],"year":"2023","has_accepted_license":"1","publication_status":"published","isi":1,"author":[{"last_name":"Ding","first_name":"Xiucai","full_name":"Ding, Xiucai"},{"id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d","full_name":"Ji, Hong Chang","last_name":"Ji","first_name":"Hong Chang"}],"title":"Spiked multiplicative random matrices and principal components","date_published":"2023-09-01T00:00:00Z","publication_identifier":{"eissn":["1879-209X"],"issn":["0304-4149"]},"fulldoi":"https://doi.org/10.1016/j.spa.2023.05.009","citation":{"mla":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” <i>Stochastic Processes and Their Applications</i>, vol. 163, Elsevier, 2023, pp. 25–60, doi:<a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">10.1016/j.spa.2023.05.009</a>.","apa":"Ding, X., &#38; Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">https://doi.org/10.1016/j.spa.2023.05.009</a>","ieee":"X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” <i>Stochastic Processes and their Applications</i>, vol. 163. Elsevier, pp. 25–60, 2023.","ama":"Ding X, Ji HC. Spiked multiplicative random matrices and principal components. <i>Stochastic Processes and their Applications</i>. 2023;163:25-60. doi:<a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">10.1016/j.spa.2023.05.009</a>","chicago":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">https://doi.org/10.1016/j.spa.2023.05.009</a>.","ista":"Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60.","short":"X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60."},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","day":"01","article_type":"original","file_date_updated":"2024-01-16T08:47:31Z","file":[{"date_created":"2024-01-16T08:47:31Z","relation":"main_file","date_updated":"2024-01-16T08:47:31Z","file_size":1870349,"file_name":"2023_StochasticProcAppl_Ding.pdf","file_id":"14806","checksum":"46a708b0cd5569a73d0f3d6c3e0a44dc","content_type":"application/pdf","creator":"dernst","success":1,"access_level":"open_access"}],"arxiv":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["510"],"oa_version":"Published Version","month":"09","date_updated":"2025-07-16T08:01:03Z","doi":"10.1016/j.spa.2023.05.009","date_created":"2024-01-10T09:29:25Z","type":"journal_article","department":[{"_id":"LaEr"}],"ec_funded":1,"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"page":"25-60"},{"citation":{"ama":"Köse S, Özbudak F. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. 2022;14(4):933-948. doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>","ieee":"S. Köse and F. Özbudak, “Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes,” <i>Cryptography and Communications</i>, vol. 14, no. 4. Springer Nature, pp. 933–948, 2022.","mla":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>, vol. 14, no. 4, Springer Nature, 2022, pp. 933–48, doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>.","apa":"Köse, S., &#38; Özbudak, F. (2022). Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>","short":"S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.","ista":"Köse S, Özbudak F. 2022. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. 14(4), 933–948.","chicago":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>."},"fulldoi":"https://doi.org/10.1007/s12095-022-00557-8","publication_identifier":{"issn":["1936-2447"],"eissn":["1936-2455"]},"scopus_import":"1","article_type":"original","day":"01","month":"07","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"None","date_updated":"2023-09-05T15:35:55Z","date_created":"2022-03-10T12:16:19Z","doi":"10.1007/s12095-022-00557-8","department":[{"_id":"GradSch"}],"type":"journal_article","page":"933-948","external_id":{"isi":["000766422000002"]},"issue":"4","keyword":["Applied Mathematics","Computational Theory and Mathematics","Computer Networks and Communications"],"quality_controlled":"1","_id":"10842","article_processing_charge":"No","publisher":"Springer Nature","publication":"Cryptography and Communications","volume":14,"intvolume":"        14","language":[{"iso":"eng"}],"status":"public","acknowledgement":"The authors would like to thank Prof. Dr. Minjia Shi for bringing [13, Conjecture 3.5] to our attention. We would also like to thank the associate editor and anonymous reviewers for their valuable comments and suggestions which improved and clarified the manuscript.","abstract":[{"lang":"eng","text":"We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Solé in [13]. We also give some applications to enumeration of certain generalized double circulant self-dual and linear complementary dual (LCD) codes over some finite rings together with an application in asymptotic coding theory."}],"publication_status":"published","year":"2022","isi":1,"title":"Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes","author":[{"first_name":"Seyda","last_name":"Köse","full_name":"Köse, Seyda","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb"},{"first_name":"Ferruh","last_name":"Özbudak","full_name":"Özbudak, Ferruh"}],"date_published":"2022-07-01T00:00:00Z"},{"scopus_import":"1","oa":1,"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2103.03906"}],"citation":{"short":"J. Reker, Random Matrices: Theory and Applications 11 (2022).","ista":"Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 11(4), 2250036.","chicago":"Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing, 2022. <a href=\"https://doi.org/10.1142/s2010326322500368\">https://doi.org/10.1142/s2010326322500368</a>.","ama":"Reker J. On the operator norm of a Hermitian random matrix with correlated entries. <i>Random Matrices: Theory and Applications</i>. 2022;11(4). doi:<a href=\"https://doi.org/10.1142/s2010326322500368\">10.1142/s2010326322500368</a>","ieee":"J. Reker, “On the operator norm of a Hermitian random matrix with correlated entries,” <i>Random Matrices: Theory and Applications</i>, vol. 11, no. 4. World Scientific Publishing, 2022.","mla":"Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” <i>Random Matrices: Theory and Applications</i>, vol. 11, no. 4, 2250036, World Scientific Publishing, 2022, doi:<a href=\"https://doi.org/10.1142/s2010326322500368\">10.1142/s2010326322500368</a>.","apa":"Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated entries. <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s2010326322500368\">https://doi.org/10.1142/s2010326322500368</a>"},"fulldoi":"https://doi.org/10.1142/s2010326322500368","publication_identifier":{"eissn":["2010-3271"],"issn":["2010-3263"]},"day":"01","article_type":"original","date_created":"2022-04-08T07:11:12Z","date_updated":"2026-04-07T13:02:12Z","doi":"10.1142/s2010326322500368","corr_author":"1","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","month":"10","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"17164"}]},"type":"journal_article","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"publisher":"World Scientific Publishing","article_processing_charge":"No","_id":"11135","keyword":["Discrete Mathematics and Combinatorics","Statistics","Probability and Uncertainty","Statistics and Probability","Algebra and Number Theory"],"quality_controlled":"1","external_id":{"isi":["000848873800001"],"arxiv":["2103.03906"]},"article_number":"2250036","issue":"4","intvolume":"        11","language":[{"iso":"eng"}],"status":"public","abstract":[{"lang":"eng","text":"We consider a correlated NxN Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, we show that its operator norm is stochastically dominated by one."}],"publication":"Random Matrices: Theory and Applications","volume":11,"isi":1,"year":"2022","publication_status":"published","date_published":"2022-10-01T00:00:00Z","title":"On the operator norm of a Hermitian random matrix with correlated entries","author":[{"first_name":"Jana","last_name":"Reker","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","full_name":"Reker, Jana"}]},{"fulldoi":"https://doi.org/10.1007/s11071-022-07396-5","publication_identifier":{"eissn":["1573-269X"],"issn":["0924-090X"]},"citation":{"mla":"Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>, vol. 108, Springer Nature, 2022, pp. 3209–18, doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>.","ieee":"E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent fluctuations in nematic liquid crystal cells,” <i>Nonlinear Dynamics</i>, vol. 108. Springer Nature, pp. 3209–3218, 2022.","apa":"Aguilera, E., Clerc, M. G., &#38; Zambra, V. (2022). Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>","ama":"Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. 2022;108:3209-3218. doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>","short":"E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218.","chicago":"Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>.","ista":"Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218."},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","day":"01","article_type":"original","file_date_updated":"2022-08-05T06:13:19Z","file":[{"access_level":"open_access","success":1,"content_type":"application/pdf","creator":"dernst","checksum":"7d80cdece4e1b1c2106e6772a9622f60","file_name":"2022_NonlinearDyn_Aguilera.pdf","file_size":1416049,"file_id":"11728","date_created":"2022-08-05T06:13:19Z","relation":"main_file","date_updated":"2022-08-05T06:13:19Z"}],"corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["530"],"oa_version":"Published Version","month":"06","doi":"10.1007/s11071-022-07396-5","date_created":"2022-05-02T07:01:59Z","date_updated":"2024-10-09T21:02:21Z","type":"journal_article","department":[{"_id":"KiMo"}],"page":"3209-3218","keyword":["Electrical and Electronic Engineering","Applied Mathematics","Mechanical Engineering","Ocean Engineering","Aerospace Engineering","Control and Systems Engineering"],"quality_controlled":"1","external_id":{"isi":["000784871800001"]},"publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","_id":"11343","publication":"Nonlinear Dynamics","volume":108,"language":[{"iso":"eng"}],"acknowledgement":"The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre for fructified discussions. This work was funded by ANID—Millennium Science Initiative Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353 project.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","intvolume":"       108","status":"public","abstract":[{"text":"Multistable systems are characterized by exhibiting domain coexistence, where each domain accounts for the different equilibrium states. In case these systems are described by vectorial fields, domains can be connected through topological defects. Vortices are one of the most frequent and studied topological defect points. Optical vortices are equally relevant for their fundamental features as beams with topological features and their applications in image processing, telecommunications, optical tweezers, and quantum information. A natural source of optical vortices is the interaction of light beams with matter vortices in liquid crystal cells. The rhythms that govern the emergence of matter vortices due to fluctuations are not established. Here, we investigate the nucleation mechanisms of the matter vortices in liquid crystal cells and establish statistical laws that govern them. Based on a stochastic amplitude equation, the law for the number of nucleated vortices as a function of anisotropy, voltage, and noise level intensity is set. Experimental observations in a nematic liquid crystal cell with homeotropic anchoring and a negative anisotropic dielectric constant under the influence of a transversal electric field show a qualitative agreement with the theoretical findings.","lang":"eng"}],"year":"2022","has_accepted_license":"1","publication_status":"published","isi":1,"title":"Vortices nucleation by inherent fluctuations in nematic liquid crystal cells","author":[{"last_name":"Aguilera","first_name":"Esteban","full_name":"Aguilera, Esteban"},{"last_name":"Clerc","first_name":"Marcel G.","full_name":"Clerc, Marcel G."},{"first_name":"Valeska","last_name":"Zambra","full_name":"Zambra, Valeska","id":"467ed36b-dc96-11ea-b7c8-b043a380b282"}],"date_published":"2022-06-01T00:00:00Z"},{"date_published":"2022-06-17T00:00:00Z","title":"Relation between the number of peaks and the number of reciprocal sign epistatic interactions","author":[{"id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X","first_name":"Raimundo J","last_name":"Saona Urmeneta"},{"id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","full_name":"Kondrashov, Fyodor","last_name":"Kondrashov","first_name":"Fyodor","orcid":"0000-0001-8243-4694"},{"full_name":"Khudiakova, Kseniia","id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","last_name":"Khudiakova","orcid":"0000-0002-6246-1465","first_name":"Kseniia"}],"isi":1,"has_accepted_license":"1","year":"2022","publication_status":"published","abstract":[{"lang":"eng","text":"Empirical essays of fitness landscapes suggest that they may be rugged, that is having multiple fitness peaks. Such fitness landscapes, those that have multiple peaks, necessarily have special local structures, called reciprocal sign epistasis (Poelwijk et al. in J Theor Biol 272:141–144, 2011). Here, we investigate the quantitative relationship between the number of fitness peaks and the number of reciprocal sign epistatic interactions. Previously, it has been shown (Poelwijk et al. in J Theor Biol 272:141–144, 2011) that pairwise reciprocal sign epistasis is a necessary but not sufficient condition for the existence of multiple peaks. Applying discrete Morse theory, which to our knowledge has never been used in this context, we extend this result by giving the minimal number of reciprocal sign epistatic interactions required to create a given number of peaks."}],"intvolume":"        84","status":"public","language":[{"iso":"eng"}],"acknowledgement":"We are grateful to Herbert Edelsbrunner and Jeferson Zapata for helpful discussions. Open access funding provided by Austrian Science Fund (FWF). Partially supported by the ERC Consolidator (771209–CharFL) and the FWF Austrian Science Fund (I5127-B) grants to FAK.","volume":84,"publication":"Bulletin of Mathematical Biology","publisher":"Springer Nature","article_processing_charge":"Yes (via OA deal)","_id":"11447","quality_controlled":"1","keyword":["Computational Theory and Mathematics","General Agricultural and Biological Sciences","Pharmacology","General Environmental Science","General Biochemistry","Genetics and Molecular Biology","General Mathematics","Immunology","General Neuroscience"],"issue":"8","article_number":"74","external_id":{"pmid":["35713756"],"isi":["000812509800001"]},"project":[{"name":"Characterizing the fitness landscape on population and global scales","_id":"26580278-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"771209"},{"name":"Evolutionary analysis of gene regulation","_id":"34e076d6-11ca-11ed-8bc3-aec76c41a181","grant_number":"I05127"}],"pmid":1,"related_material":{"link":[{"url":"https://doi.org/10.1007/s11538-022-01118-z","relation":"erratum"}],"record":[{"id":"21918","status":"public","relation":"dissertation_contains"}]},"type":"journal_article","ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"NiBa"},{"_id":"JaMa"}],"date_updated":"2026-06-12T12:43:34Z","doi":"10.1007/s11538-022-01029-z","date_created":"2022-06-17T16:16:15Z","ddc":["510","570"],"oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","month":"06","file_date_updated":"2022-06-20T07:51:32Z","file":[{"access_level":"open_access","success":1,"checksum":"05a1fe7d10914a00c2bca9b447993a65","creator":"dernst","content_type":"application/pdf","date_updated":"2022-06-20T07:51:32Z","relation":"main_file","date_created":"2022-06-20T07:51:32Z","file_id":"11455","file_size":463025,"file_name":"2022_BulletinMathBiology_Saona.pdf"}],"day":"17","article_type":"original","oa":1,"scopus_import":"1","fulldoi":"https://doi.org/10.1007/s11538-022-01029-z","citation":{"mla":"Saona Urmeneta, Raimundo J., et al. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.” <i>Bulletin of Mathematical Biology</i>, vol. 84, no. 8, 74, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11538-022-01029-z\">10.1007/s11538-022-01029-z</a>.","ieee":"R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between the number of peaks and the number of reciprocal sign epistatic interactions,” <i>Bulletin of Mathematical Biology</i>, vol. 84, no. 8. Springer Nature, 2022.","apa":"Saona Urmeneta, R. J., Kondrashov, F., &#38; Khudiakova, K. (2022). Relation between the number of peaks and the number of reciprocal sign epistatic interactions. <i>Bulletin of Mathematical Biology</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11538-022-01029-z\">https://doi.org/10.1007/s11538-022-01029-z</a>","ama":"Saona Urmeneta RJ, Kondrashov F, Khudiakova K. Relation between the number of peaks and the number of reciprocal sign epistatic interactions. <i>Bulletin of Mathematical Biology</i>. 2022;84(8). doi:<a href=\"https://doi.org/10.1007/s11538-022-01029-z\">10.1007/s11538-022-01029-z</a>","short":"R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical Biology 84 (2022).","chicago":"Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.” <i>Bulletin of Mathematical Biology</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11538-022-01029-z\">https://doi.org/10.1007/s11538-022-01029-z</a>.","ista":"Saona Urmeneta RJ, Kondrashov F, Khudiakova K. 2022. Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Bulletin of Mathematical Biology. 84(8), 74."},"publication_identifier":{"issn":["0092-8240"],"eissn":["1522-9602"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"}},{"article_type":"original","day":"15","publication_identifier":{"issn":["0021-9991"]},"fulldoi":"https://doi.org/10.1016/j.jcp.2022.111439","citation":{"mla":"Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>, vol. 467, 111439, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>.","ieee":"A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov, “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,” <i>Journal of Computational Physics</i>, vol. 467. Elsevier, 2022.","apa":"Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., &#38; Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>","ama":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. 2022;467. doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>","short":"A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal of Computational Physics 467 (2022).","chicago":"Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>.","ista":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 467, 111439."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2103.09481"}],"scopus_import":"1","oa":1,"department":[{"_id":"GradSch"},{"_id":"ChWo"}],"type":"journal_article","month":"10","oa_version":"Preprint","ddc":["518"],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","arxiv":1,"date_updated":"2024-10-21T06:01:47Z","date_created":"2022-07-11T12:19:59Z","doi":"10.1016/j.jcp.2022.111439","volume":467,"publication":"Journal of Computational Physics","abstract":[{"text":"We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the\r\noscillations with respect to fluctuations and noise.","lang":"eng"}],"language":[{"iso":"eng"}],"acknowledgement":"Zhores supercomputer of Skolkovo Institute of Science and Technology [68] has been used in the present research. S.A.M. was supported by Moscow Center for Fundamental and Applied Mathematics (the agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).","status":"public","intvolume":"       467","article_number":"111439","external_id":{"arxiv":["2103.09481"],"isi":["000917225500013"]},"quality_controlled":"1","keyword":["Computer Science Applications","Physics and Astronomy (miscellaneous)","Applied Mathematics","Computational Mathematics","Modeling and Simulation","Numerical Analysis"],"_id":"11556","publisher":"Elsevier","article_processing_charge":"No","title":"Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics","author":[{"last_name":"Kalinov","first_name":"Aleksei","orcid":"0000-0003-2189-3904","id":"44b7120e-eb97-11eb-a6c2-e1557aa81d02","full_name":"Kalinov, Aleksei"},{"full_name":"Osinskiy, A.I.","first_name":"A.I.","last_name":"Osinskiy"},{"first_name":"S.A.","last_name":"Matveev","full_name":"Matveev, S.A."},{"full_name":"Otieno, W.","last_name":"Otieno","first_name":"W."},{"full_name":"Brilliantov, N.V.","first_name":"N.V.","last_name":"Brilliantov"}],"date_published":"2022-10-15T00:00:00Z","publication_status":"published","year":"2022","isi":1},{"day":"29","article_type":"original","file_date_updated":"2023-02-02T07:39:09Z","file":[{"success":1,"access_level":"open_access","file_id":"12474","file_name":"2022_AdvancesMathematics_Drach.pdf","file_size":2164036,"date_created":"2023-02-02T07:39:09Z","date_updated":"2023-02-02T07:39:09Z","relation":"main_file","creator":"dernst","content_type":"application/pdf","checksum":"2710e6f5820f8c20a676ddcbb30f0e8d"}],"fulldoi":"https://doi.org/10.1016/j.aim.2022.108591","citation":{"chicago":"Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” <i>Advances in Mathematics</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.aim.2022.108591\">https://doi.org/10.1016/j.aim.2022.108591</a>.","ista":"Drach K, Schleicher D. 2022. Rigidity of Newton dynamics. Advances in Mathematics. 408(Part A), 108591.","short":"K. Drach, D. Schleicher, Advances in Mathematics 408 (2022).","apa":"Drach, K., &#38; Schleicher, D. (2022). Rigidity of Newton dynamics. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2022.108591\">https://doi.org/10.1016/j.aim.2022.108591</a>","mla":"Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” <i>Advances in Mathematics</i>, vol. 408, no. Part A, 108591, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108591\">10.1016/j.aim.2022.108591</a>.","ieee":"K. Drach and D. Schleicher, “Rigidity of Newton dynamics,” <i>Advances in Mathematics</i>, vol. 408, no. Part A. Elsevier, 2022.","ama":"Drach K, Schleicher D. Rigidity of Newton dynamics. <i>Advances in Mathematics</i>. 2022;408(Part A). doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108591\">10.1016/j.aim.2022.108591</a>"},"publication_identifier":{"issn":["0001-8708"]},"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"oa":1,"scopus_import":"1","type":"journal_article","ec_funded":1,"department":[{"_id":"VaKa"}],"project":[{"name":"Spectral rigidity and integrability for billiards and geodesic flows","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","call_identifier":"H2020","grant_number":"885707"}],"oa_version":"Published Version","ddc":["510"],"corr_author":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"10","doi":"10.1016/j.aim.2022.108591","date_updated":"2025-04-14T07:53:45Z","date_created":"2022-08-01T17:08:16Z","volume":408,"publication":"Advances in Mathematics","abstract":[{"lang":"eng","text":"We study rigidity of rational maps that come from Newton's root finding method for polynomials of arbitrary degrees. We establish dynamical rigidity of these maps: each point in the Julia set of a Newton map is either rigid (i.e. its orbit can be distinguished in combinatorial terms from all other orbits), or the orbit of this point eventually lands in the filled-in Julia set of a polynomial-like restriction of the original map. As a corollary, we show that the Julia sets of Newton maps in many non-trivial cases are locally connected; in particular, every cubic Newton map without Siegel points has locally connected Julia set.\r\nIn the parameter space of Newton maps of arbitrary degree we obtain the following rigidity result: any two combinatorially equivalent Newton maps are quasiconformally conjugate in a neighborhood of their Julia sets provided that they either non-renormalizable, or they are both renormalizable “in the same way”.\r\nOur main tool is a generalized renormalization concept called “complex box mappings” for which we extend a dynamical rigidity result by Kozlovski and van Strien so as to include irrationally indifferent and renormalizable situations."}],"language":[{"iso":"eng"}],"intvolume":"       408","acknowledgement":"We are grateful to a number of colleagues for helpful and inspiring discussions during the time when we worked on this project, in particular Dima Dudko, Misha Hlushchanka, John Hubbard, Misha Lyubich, Oleg Kozlovski, and Sebastian van Strien. Finally, we would like to thank our dynamics research group for numerous helpful and enjoyable discussions: Konstantin Bogdanov, Roman Chernov, Russell Lodge, Steffen Maaß, David Pfrang, Bernhard Reinke, Sergey Shemyakov, and Maik Sowinski. We gratefully acknowledge support by the Advanced Grant “HOLOGRAM” (#695 621) of the European Research Council (ERC), as well as hospitality of Cornell University in the spring of 2018 while much of this work was prepared. The first-named author also acknowledges the support of the ERC Advanced Grant “SPERIG” (#885 707).","status":"public","keyword":["General Mathematics"],"quality_controlled":"1","article_number":"108591","issue":"Part A","external_id":{"isi":["000860924200005"]},"publisher":"Elsevier","article_processing_charge":"Yes (via OA deal)","_id":"11717","author":[{"last_name":"Drach","first_name":"Kostiantyn","orcid":"0000-0002-9156-8616","id":"fe8209e2-906f-11eb-847d-950f8fc09115","full_name":"Drach, Kostiantyn"},{"full_name":"Schleicher, Dierk","last_name":"Schleicher","first_name":"Dierk"}],"title":"Rigidity of Newton dynamics","date_published":"2022-10-29T00:00:00Z","has_accepted_license":"1","year":"2022","publication_status":"published","isi":1}]