[{"author":[{"last_name":"Struk","first_name":"Sylwia","full_name":"Struk, Sylwia"},{"last_name":"Braem","full_name":"Braem, Lukas","first_name":"Lukas"},{"last_name":"Matthys","first_name":"Cedrick","full_name":"Matthys, Cedrick"},{"last_name":"Walton","first_name":"Alan","full_name":"Walton, Alan"},{"last_name":"Vangheluwe","first_name":"Nick","full_name":"Vangheluwe, Nick"},{"last_name":"Van Praet","first_name":"Stan","full_name":"Van Praet, Stan"},{"last_name":"Jiang","full_name":"Jiang, Lingxiang","first_name":"Lingxiang"},{"id":"3028BD74-F248-11E8-B48F-1D18A9856A87","last_name":"Baster","first_name":"Pawel","full_name":"Baster, Pawel"},{"first_name":"Carolien","full_name":"De Cuyper, Carolien","last_name":"De Cuyper"},{"last_name":"Boyer","first_name":"Francois-Didier","full_name":"Boyer, Francois-Didier"},{"last_name":"Stes","first_name":"Elisabeth","full_name":"Stes, Elisabeth"},{"first_name":"Tom","full_name":"Beeckman, Tom","last_name":"Beeckman"},{"full_name":"Friml, Jiří","first_name":"Jiří","orcid":"0000-0002-8302-7596","last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Gevaert","first_name":"Kris","full_name":"Gevaert, Kris"},{"first_name":"Sofie","full_name":"Goormachtig, Sofie","last_name":"Goormachtig"}],"publisher":"Oxford University Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Struk S, Braem L, Matthys C, Walton A, Vangheluwe N, Van Praet S, Jiang L, Baster P, De Cuyper C, Boyer F-D, Stes E, Beeckman T, Friml J, Gevaert K, Goormachtig S. 2022. Transcriptional analysis in the Arabidopsis roots reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation and lateral root density. Plant & Cell Physiology. 63(1), 104–119.","apa":"Struk, S., Braem, L., Matthys, C., Walton, A., Vangheluwe, N., Van Praet, S., … Goormachtig, S. (2022). Transcriptional analysis in the Arabidopsis roots reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation and lateral root density. Plant & Cell Physiology. Oxford University Press. https://doi.org/10.1093/pcp/pcab149","ieee":"S. Struk et al., “Transcriptional analysis in the Arabidopsis roots reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation and lateral root density,” Plant & Cell Physiology, vol. 63, no. 1. Oxford University Press, pp. 104–119, 2022.","ama":"Struk S, Braem L, Matthys C, et al. Transcriptional analysis in the Arabidopsis roots reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation and lateral root density. Plant & Cell Physiology. 2022;63(1):104-119. doi:10.1093/pcp/pcab149","short":"S. Struk, L. Braem, C. Matthys, A. Walton, N. Vangheluwe, S. Van Praet, L. Jiang, P. Baster, C. De Cuyper, F.-D. Boyer, E. Stes, T. Beeckman, J. Friml, K. Gevaert, S. Goormachtig, Plant & Cell Physiology 63 (2022) 104–119.","mla":"Struk, Sylwia, et al. “Transcriptional Analysis in the Arabidopsis Roots Reveals New Regulators That Link Rac-GR24 Treatment with Changes in Flavonol Accumulation, Root Hair Elongation and Lateral Root Density.” Plant & Cell Physiology, vol. 63, no. 1, Oxford University Press, 2022, pp. 104–19, doi:10.1093/pcp/pcab149.","chicago":"Struk, Sylwia, Lukas Braem, Cedrick Matthys, Alan Walton, Nick Vangheluwe, Stan Van Praet, Lingxiang Jiang, et al. “Transcriptional Analysis in the Arabidopsis Roots Reveals New Regulators That Link Rac-GR24 Treatment with Changes in Flavonol Accumulation, Root Hair Elongation and Lateral Root Density.” Plant & Cell Physiology. Oxford University Press, 2022. https://doi.org/10.1093/pcp/pcab149."},"oa_version":"Published Version","doi":"10.1093/pcp/pcab149","pmid":1,"status":"public","date_published":"2022-01-21T00:00:00Z","title":"Transcriptional analysis in the Arabidopsis roots reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation and lateral root density","external_id":{"isi":["000877899400009"],"pmid":["34791413"]},"article_type":"original","OA_type":"free access","page":"104-119","ddc":["580"],"department":[{"_id":"JiFr"}],"abstract":[{"lang":"eng","text":"The synthetic strigolactone (SL) analog, rac-GR24, has been instrumental in studying the role of SLs as well as karrikins because it activates the receptors DWARF14 (D14) and KARRIKIN INSENSITIVE 2 (KAI2) of their signaling pathways, respectively. Treatment with rac-GR24 modifies the root architecture at different levels, such as decreasing the lateral root density (LRD), while promoting root hair elongation or flavonol accumulation. Previously, we have shown that the flavonol biosynthesis is transcriptionally activated in the root by rac-GR24 treatment, but, thus far, the molecular players involved in that response have remained unknown. To get an in-depth insight into the changes that occur after the compound is perceived by the roots, we compared the root transcriptomes of the wild type and the more axillary growth2 (max2) mutant, affected in both SL and karrikin signaling pathways, with and without rac-GR24 treatment. Quantitative reverse transcription (qRT)-PCR, reporter line analysis and mutant phenotyping indicated that the flavonol response and the root hair elongation are controlled by the ELONGATED HYPOCOTYL 5 (HY5) and MYB12 transcription factors, but HY5, in contrast to MYB12, affects the LRD as well. Furthermore, we identified the transcription factors TARGET OF MONOPTEROS 5 (TMO5) and TMO5 LIKE1 as negative and the Mediator complex as positive regulators of the rac-GR24 effect on LRD. Altogether, hereby, we get closer toward understanding the molecular mechanisms that underlay the rac-GR24 responses in the root."}],"type":"journal_article","volume":63,"date_updated":"2026-07-28T12:02:02Z","publication":"Plant & Cell Physiology","quality_controlled":"1","month":"01","acknowledgement":"The authors thank Ralf Stracke (Bielefeld University, Bielefeld, Germany) for providing the myb mutants and their colleagues Bert De Rybel for the tmo5t;mo5l1 double mutant, Boris Parizot for tips on the RNA-seq analysis, Veronique Storme for statistical help on both the RNA-seq and lateral root density, and Martine De Cock for help in preparing the manuscript.","publication_status":"published","oa":1,"keyword":["flavonols","MAX2","rac-Gr24","RNA-seq","root development","transcriptional regulation"],"day":"21","intvolume":" 63","_id":"10583","language":[{"iso":"eng"}],"isi":1,"main_file_link":[{"url":"https://doi.org/10.1093/pcp/pcab149","open_access":"1"}],"year":"2022","date_created":"2021-12-28T11:44:18Z","article_processing_charge":"No","publication_identifier":{"eissn":["1471-9053"],"issn":["0032-0781"]},"issue":"1","scopus_import":"1"},{"date_updated":"2026-07-28T12:06:20Z","volume":233,"quality_controlled":"1","month":"01","publication":"New Phytologist","acknowledgement":"We thank Claus Schwechheimer for the pin34 and pin347 seeds, Yuliia Mironova for technical assistance, Ksenia Timofeyenko and Dmitry Konovalov for help with the evolutional analysis, Konstantin Kutashev and Siarhei Dabravolski for assistance with FRET-FLIM, Huibin Han for advice with hypocotyl imaging, Karel Müller for the initial qRT-PCR on the tobacco cell lines, Stano Pekár for suggestions regarding the statistical analysis of the morphodynamic measurements, and Jozef Mravec, Dolf Weijers and Lindy Abas for their comments on the manuscript. This work was supported by the Czech Science Foundation (projects 16-26428S and 19-23773S to IK, MH and KRůžička, 19-18917S to JHumpolíčková and 18-26981S to JF), and the Ministry of Education, Youth and Sports of the Czech Republic (MEYS, CZ.02.1.01/0.0/0.0/16_019/0000738) to KRůžička and JHejátko. The imaging facilities of the Institute of Experimental Botany and CEITEC are supported by MEYS (LM2018129 – Czech BioImaging and CZ.02.1.01/0.0/0.0/16_013/0001775). The authors declare no competing interests.","oa":1,"publication_status":"published","oa_version":"Published Version","OA_place":"publisher","biorxivid":1,"doi":"10.1111/nph.17792","pmid":1,"author":[{"full_name":"Kashkan, Ivan","first_name":"Ivan","last_name":"Kashkan"},{"full_name":"Hrtyan, Mónika","first_name":"Mónika","last_name":"Hrtyan","id":"45A71A74-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Katarzyna","full_name":"Retzer, Katarzyna","last_name":"Retzer"},{"last_name":"Humpolíčková","full_name":"Humpolíčková, Jana","first_name":"Jana"},{"last_name":"Jayasree","full_name":"Jayasree, Aswathy","first_name":"Aswathy"},{"last_name":"Filepová","first_name":"Roberta","full_name":"Filepová, Roberta"},{"first_name":"Zuzana","full_name":"Vondráková, Zuzana","last_name":"Vondráková"},{"full_name":"Simon, Sibu","first_name":"Sibu","id":"4542EF9A-F248-11E8-B48F-1D18A9856A87","last_name":"Simon","orcid":"0000-0002-1998-6741"},{"last_name":"Rombaut","first_name":"Debbie","full_name":"Rombaut, Debbie"},{"first_name":"Thomas B.","full_name":"Jacobs, Thomas B.","last_name":"Jacobs"},{"full_name":"Frilander, Mikko J.","first_name":"Mikko J.","last_name":"Frilander"},{"full_name":"Hejátko, Jan","first_name":"Jan","last_name":"Hejátko"},{"full_name":"Friml, Jiří","first_name":"Jiří","last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596"},{"first_name":"Jan","full_name":"Petrášek, Jan","last_name":"Petrášek"},{"last_name":"Růžička","full_name":"Růžička, Kamil","first_name":"Kamil"}],"citation":{"mla":"Kashkan, Ivan, et al. “Mutually Opposing Activity of PIN7 Splicing Isoforms Is Required for Auxin-Mediated Tropic Responses in Arabidopsis Thaliana.” New Phytologist, vol. 233, no. 1, Wiley, 2022, pp. 329–43, doi:10.1111/nph.17792.","short":"I. Kashkan, M. Hrtyan, K. Retzer, J. Humpolíčková, A. Jayasree, R. Filepová, Z. Vondráková, S. Simon, D. Rombaut, T.B. Jacobs, M.J. Frilander, J. Hejátko, J. Friml, J. Petrášek, K. Růžička, New Phytologist 233 (2022) 329–343.","chicago":"Kashkan, Ivan, Mónika Hrtyan, Katarzyna Retzer, Jana Humpolíčková, Aswathy Jayasree, Roberta Filepová, Zuzana Vondráková, et al. “Mutually Opposing Activity of PIN7 Splicing Isoforms Is Required for Auxin-Mediated Tropic Responses in Arabidopsis Thaliana.” New Phytologist. Wiley, 2022. https://doi.org/10.1111/nph.17792.","ieee":"I. Kashkan et al., “Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana,” New Phytologist, vol. 233, no. 1. Wiley, pp. 329–343, 2022.","apa":"Kashkan, I., Hrtyan, M., Retzer, K., Humpolíčková, J., Jayasree, A., Filepová, R., … Růžička, K. (2022). Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana. New Phytologist. Wiley. https://doi.org/10.1111/nph.17792","ista":"Kashkan I, Hrtyan M, Retzer K, Humpolíčková J, Jayasree A, Filepová R, Vondráková Z, Simon S, Rombaut D, Jacobs TB, Frilander MJ, Hejátko J, Friml J, Petrášek J, Růžička K. 2022. Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana. New Phytologist. 233(1), 329–343.","ama":"Kashkan I, Hrtyan M, Retzer K, et al. Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana. New Phytologist. 2022;233(1):329-343. doi:10.1111/nph.17792"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Wiley","date_published":"2022-01-01T00:00:00Z","title":"Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana","external_id":{"pmid":["34637542"],"isi":["000714678100001"],"biorxivid":["10.1101/2020.05.02.074070"]},"status":"public","article_type":"original","OA_type":"free access","page":"329-343","department":[{"_id":"JiFr"}],"type":"journal_article","abstract":[{"text":"Advanced transcriptome sequencing has revealed that the majority of eukaryotic genes undergo alternative splicing (AS). Nonetheless, little effort has been dedicated to investigating the functional relevance of particular splicing events, even those in the key developmental and hormonal regulators. Combining approaches of genetics, biochemistry and advanced confocal microscopy, we describe the impact of alternative splicing on the PIN7 gene in the model plant Arabidopsis thaliana. PIN7 encodes a polarly localized transporter for the phytohormone auxin and produces two evolutionarily conserved transcripts, PIN7a and PIN7b. PIN7a and PIN7b, differing in a four amino acid stretch, exhibit almost identical expression patterns and subcellular localization. We reveal that they are closely associated and mutually influence each other's mobility within the plasma membrane. Phenotypic complementation tests indicate that the functional contribution of PIN7b per se is minor, but it markedly reduces the prominent PIN7a activity, which is required for correct seedling apical hook formation and auxin-mediated tropic responses. Our results establish alternative splicing of the PIN family as a conserved, functionally relevant mechanism, revealing an additional regulatory level of auxin-mediated plant development.","lang":"eng"}],"article_processing_charge":"No","issue":"1","scopus_import":"1","publication_identifier":{"eissn":["1469-8137"],"issn":["0028-646X"]},"day":"01","language":[{"iso":"eng"}],"_id":"10282","intvolume":" 233","isi":1,"main_file_link":[{"url":"https://doi.org/10.1111/nph.17792","open_access":"1"}],"year":"2022","date_created":"2021-11-14T23:01:24Z"},{"OA_type":"free access","page":"133-157","article_type":"original","abstract":[{"text":"Idealized simulations of the tropical atmosphere have predicted that clouds can spontaneously clump together in space, despite perfectly homogeneous settings. This phenomenon has been called self-aggregation, and it results in a state where a moist cloudy region with intense deep convective storms is surrounded by extremely dry subsiding air devoid of deep clouds. We review here the main findings from theoretical work and idealized models of this phenomenon, highlighting the physical processes believed to play a key role in convective self-aggregation. We also review the growing literature on the importance and implications of this phenomenon for the tropical atmosphere, notably, for the hydrological cycle and for precipitation extremes, in our current and in a warming climate.","lang":"eng"}],"type":"journal_article","ddc":["550"],"department":[{"_id":"CaMu"}],"doi":"10.1146/annurev-fluid-022421-011319","oa_version":"Published Version","publisher":"Annual Reviews","citation":{"chicago":"Muller, Caroline J, Da Yang, George Craig, Timothy Cronin, Benjamin Fildier, Jan O. Haerter, Cathy Hohenegger, et al. “Spontaneous Aggregation of Convective Storms.” Annual Review of Fluid Mechanics. Annual Reviews, 2022. https://doi.org/10.1146/annurev-fluid-022421-011319.","mla":"Muller, Caroline J., et al. “Spontaneous Aggregation of Convective Storms.” Annual Review of Fluid Mechanics, vol. 54, Annual Reviews, 2022, pp. 133–57, doi:10.1146/annurev-fluid-022421-011319.","short":"C.J. Muller, D. Yang, G. Craig, T. Cronin, B. Fildier, J.O. Haerter, C. Hohenegger, B. Mapes, D. Randall, S. Shamekh, S.C. Sherwood, Annual Review of Fluid Mechanics 54 (2022) 133–157.","ama":"Muller CJ, Yang D, Craig G, et al. Spontaneous aggregation of convective storms. Annual Review of Fluid Mechanics. 2022;54:133-157. doi:10.1146/annurev-fluid-022421-011319","apa":"Muller, C. J., Yang, D., Craig, G., Cronin, T., Fildier, B., Haerter, J. O., … Sherwood, S. C. (2022). Spontaneous aggregation of convective storms. Annual Review of Fluid Mechanics. Annual Reviews. https://doi.org/10.1146/annurev-fluid-022421-011319","ista":"Muller CJ, Yang D, Craig G, Cronin T, Fildier B, Haerter JO, Hohenegger C, Mapes B, Randall D, Shamekh S, Sherwood SC. 2022. Spontaneous aggregation of convective storms. Annual Review of Fluid Mechanics. 54, 133–157.","ieee":"C. J. Muller et al., “Spontaneous aggregation of convective storms,” Annual Review of Fluid Mechanics, vol. 54. Annual Reviews, pp. 133–157, 2022."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"orcid":"0000-0001-5836-5350","last_name":"Muller","id":"f978ccb0-3f7f-11eb-b193-b0e2bd13182b","full_name":"Muller, Caroline J","first_name":"Caroline J"},{"last_name":"Yang","first_name":"Da","full_name":"Yang, Da"},{"full_name":"Craig, George","first_name":"George","last_name":"Craig"},{"first_name":"Timothy","full_name":"Cronin, Timothy","last_name":"Cronin"},{"full_name":"Fildier, Benjamin","first_name":"Benjamin","last_name":"Fildier"},{"last_name":"Haerter","first_name":"Jan O.","full_name":"Haerter, Jan O."},{"full_name":"Hohenegger, Cathy","first_name":"Cathy","last_name":"Hohenegger"},{"full_name":"Mapes, Brian","first_name":"Brian","last_name":"Mapes"},{"first_name":"David","full_name":"Randall, David","last_name":"Randall"},{"last_name":"Shamekh","first_name":"Sara","full_name":"Shamekh, Sara"},{"first_name":"Steven C.","full_name":"Sherwood, Steven C.","last_name":"Sherwood"}],"external_id":{"isi":["000794152800006"]},"title":"Spontaneous aggregation of convective storms","date_published":"2022-01-01T00:00:00Z","status":"public","acknowledgement":"C.M. gratefully acknowledges funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Project CLUSTER, grant agreement 805041). She also thanks Grand Équipement National de Calcul Intensif (GENCI), France, for providing access to their computing platforms at Très Grand Centre de Calcul (TGCC). J.O.H. gratefully acknowledges funding from the Villum Foundation (grant 13168), the ERC under the Horizon 2020 research and innovation program (grant 771859), and the Novo Nordisk Foundation's Interdisciplinary Synergy Program (grant NNF19OC0057374). G.C. gratefully acknowledges the support of the transregional collaborative research center (SFB/TRR 165) “Waves to Weather” (http://www.wavestoweather.de) funded by the German Research Foundation (DFG). D.Y. is supported by a Packard Fellowship in Science and Engineering, the France–Berkeley Fund, Laboratory Directed Research and Development (LDRD) funding from the Lawrence Berkeley National Laboratory, and the US Department of Energy, Office of Science, Office of Biological and Environmental Research, Climate and Environmental Sciences Division, Regional and Global Climate Modeling Program under award DE-AC02-05CH11231.","oa":1,"publication_status":"published","date_updated":"2026-07-28T11:59:03Z","volume":54,"month":"01","quality_controlled":"1","publication":"Annual Review of Fluid Mechanics","main_file_link":[{"url":"https://doi.org/10.1146/annurev-fluid-022421-011319","open_access":"1"}],"isi":1,"year":"2022","date_created":"2022-01-23T23:01:29Z","intvolume":" 54","_id":"10656","language":[{"iso":"eng"}],"day":"01","corr_author":"1","scopus_import":"1","publication_identifier":{"issn":["0066-4189"],"eissn":["1545-4479"]},"ec_funded":1,"article_processing_charge":"No","project":[{"grant_number":"805041","_id":"629205d8-2b32-11ec-9570-e1356ff73576","name":"Organization of CLoUdS, and implications of Tropical cyclones and for the Energetics of the tropics, in current and waRming climate","call_identifier":"H2020"}]},{"year":"2022","date_created":"2022-03-13T23:01:47Z","main_file_link":[{"url":"https://doi.org/10.1080/15548627.2022.2039523","open_access":"1"}],"isi":1,"language":[{"iso":"eng"}],"_id":"10846","intvolume":" 18","day":"19","publication_identifier":{"eissn":["1554-8635"],"issn":["1554-8627"]},"scopus_import":"1","issue":"5","article_processing_charge":"No","type":"journal_article","abstract":[{"lang":"eng","text":"The Golgi apparatus regulates the process of modification and subcellular localization of macromolecules, including proteins and lipids. Aberrant protein sorting caused by defects in the Golgi leads to various diseases in mammals. However, the role of the Golgi apparatus in organismal longevity remained largely unknown. By employing a quantitative proteomic approach, we demonstrated that MON-2, an evolutionarily conserved Arf-GEF protein implicated in Golgi-to-endosome trafficking, promotes longevity via upregulating macroautophagy/autophagy in C. elegans. Our data using cultured mammalian cells indicate that MON2 translocates from the Golgi to the endosome under starvation conditions, subsequently increasing autophagic flux by binding LGG-1/GABARAPL2. Thus, Golgi-to-endosome trafficking appears to be an evolutionarily conserved process for the upregulation of autophagy, which contributes to organismal longevity."}],"ddc":["570"],"department":[{"_id":"MaDe"}],"OA_type":"free access","page":"1208-1210","article_type":"original","status":"public","external_id":{"isi":["000758859600001"],"pmid":["35188063"]},"title":"MON-2, a Golgi protein, promotes longevity by upregulating autophagy through mediating inter-organelle communications","date_published":"2022-02-19T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Artan M, Sohn J, Lee C, Park SY, Lee SJV. MON-2, a Golgi protein, promotes longevity by upregulating autophagy through mediating inter-organelle communications. Autophagy. 2022;18(5):1208-1210. doi:10.1080/15548627.2022.2039523","apa":"Artan, M., Sohn, J., Lee, C., Park, S. Y., & Lee, S. J. V. (2022). MON-2, a Golgi protein, promotes longevity by upregulating autophagy through mediating inter-organelle communications. Autophagy. Taylor & Francis. https://doi.org/10.1080/15548627.2022.2039523","ista":"Artan M, Sohn J, Lee C, Park SY, Lee SJV. 2022. MON-2, a Golgi protein, promotes longevity by upregulating autophagy through mediating inter-organelle communications. Autophagy. 18(5), 1208–1210.","ieee":"M. Artan, J. Sohn, C. Lee, S. Y. Park, and S. J. V. Lee, “MON-2, a Golgi protein, promotes longevity by upregulating autophagy through mediating inter-organelle communications,” Autophagy, vol. 18, no. 5. Taylor & Francis, pp. 1208–1210, 2022.","chicago":"Artan, Murat, Jooyeon Sohn, Cheolju Lee, Seung Yeol Park, and Seung Jae V. Lee. “MON-2, a Golgi Protein, Promotes Longevity by Upregulating Autophagy through Mediating Inter-Organelle Communications.” Autophagy. Taylor & Francis, 2022. https://doi.org/10.1080/15548627.2022.2039523.","short":"M. Artan, J. Sohn, C. Lee, S.Y. Park, S.J.V. Lee, Autophagy 18 (2022) 1208–1210.","mla":"Artan, Murat, et al. “MON-2, a Golgi Protein, Promotes Longevity by Upregulating Autophagy through Mediating Inter-Organelle Communications.” Autophagy, vol. 18, no. 5, Taylor & Francis, 2022, pp. 1208–10, doi:10.1080/15548627.2022.2039523."},"publisher":"Taylor & Francis","author":[{"last_name":"Artan","id":"C407B586-6052-11E9-B3AE-7006E6697425","orcid":"0000-0001-8945-6992","first_name":"Murat","full_name":"Artan, Murat"},{"last_name":"Sohn","first_name":"Jooyeon","full_name":"Sohn, Jooyeon"},{"full_name":"Lee, Cheolju","first_name":"Cheolju","last_name":"Lee"},{"full_name":"Park, Seung Yeol","first_name":"Seung Yeol","last_name":"Park"},{"last_name":"Lee","first_name":"Seung Jae V.","full_name":"Lee, Seung Jae V."}],"doi":"10.1080/15548627.2022.2039523","pmid":1,"oa_version":"Published Version","publication_status":"published","oa":1,"acknowledgement":"This work is funded by National Research Foundation of Korea (NRF) grants NRF-2019R1A3B2067745 from the Korean Government (Ministry of Science and Information and Communications Technology (S-J.V.L.). NRF-2017R1A5A1015366 (S.Y.P, S-J.V.L). Korea Institute of Science and Technology (KIST) intramural grant (C.L).","publication":"Autophagy","month":"02","quality_controlled":"1","volume":18,"date_updated":"2026-07-28T11:53:45Z"},{"year":"2022","date_created":"2022-07-24T22:01:41Z","isi":1,"file":[{"date_updated":"2023-02-02T07:56:34Z","file_id":"12475","success":1,"creator":"dernst","file_name":"2022_FiniteFields_Kmentt.pdf","access_level":"open_access","checksum":"3ca88decb1011180dc6de7e0862153e1","content_type":"application/pdf","relation":"main_file","file_size":247615,"date_created":"2023-02-02T07:56:34Z"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"corr_author":"1","day":"01","language":[{"iso":"eng"}],"_id":"11636","intvolume":" 83","das_tickbox":"0","publication_identifier":{"issn":["1071-5797"],"eissn":["1090-2465"]},"issue":"10","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","ddc":["510"],"department":[{"_id":"TiBr"}],"abstract":[{"lang":"eng","text":"In [3], Poonen and Slavov recently developed a novel approach to Bertini irreducibility theorems over an arbitrary field, based on random hyperplane slicing. In this paper, we extend their work by proving an analogous bound for the dimension of the exceptional locus in the setting of linear subspaces of higher codimensions."}],"type":"journal_article","article_type":"original","status":"public","researchdata_availability":"no","date_published":"2022-10-01T00:00:00Z","article_number":"102085","title":"The Bertini irreducibility theorem for higher codimensional slices","external_id":{"isi":["000835490600001"],"arxiv":["2111.06697"]},"author":[{"last_name":"Kmentt","id":"c90670c9-0bf0-11ed-86f5-ed522ece2fac","first_name":"Philip","full_name":"Kmentt, Philip"},{"full_name":"Shute, Alec L","first_name":"Alec L","id":"440EB050-F248-11E8-B48F-1D18A9856A87","last_name":"Shute","orcid":"0000-0002-1812-2810"}],"publisher":"Elsevier","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"short":"P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).","mla":"Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications, vol. 83, no. 10, 102085, Elsevier, 2022, doi:10.1016/j.ffa.2022.102085.","chicago":"Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications. Elsevier, 2022. https://doi.org/10.1016/j.ffa.2022.102085.","ieee":"P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” Finite Fields and their Applications, vol. 83, no. 10. Elsevier, 2022.","apa":"Kmentt, P., & Shute, A. L. (2022). The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and Their Applications. Elsevier. https://doi.org/10.1016/j.ffa.2022.102085","ista":"Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.","ama":"Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 2022;83(10). doi:10.1016/j.ffa.2022.102085"},"oa_version":"Published Version","doi":"10.1016/j.ffa.2022.102085","publication_status":"published","supplementarymaterial":"no","file_date_updated":"2023-02-02T07:56:34Z","oa":1,"has_accepted_license":"1","publication":"Finite Fields and their Applications","quality_controlled":"1","month":"10","arxiv":1,"volume":83,"date_updated":"2026-07-29T10:45:21Z"},{"isi":1,"date_created":"2023-02-26T23:01:02Z","year":"2022","corr_author":"1","file":[{"relation":"main_file","date_created":"2023-02-27T09:10:13Z","file_size":870468,"checksum":"08f28fded270251f568f610cf5166d69","content_type":"application/pdf","access_level":"open_access","file_name":"2023_JourTheorieNombreBordeaux_Horesh.pdf","date_updated":"2023-02-27T09:10:13Z","file_id":"12689","success":1,"creator":"dernst"}],"tmp":{"short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png"},"_id":"12684","language":[{"iso":"eng"}],"intvolume":" 34","day":"27","publication_identifier":{"issn":["1246-7405"],"eissn":["2118-8572"]},"scopus_import":"1","issue":"3","das_tickbox":"0","article_processing_charge":"No","page":"679-703","article_type":"original","abstract":[{"lang":"eng","text":"Given a place ω of a global function field K over a finite field, with associated affine function ring Rω and completion Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points (a,b)∈Rω2 in the plane Kω2 , and for renormalized solutions to the gcd equation ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in \\ZZ2 ."}],"type":"journal_article","ddc":["510"],"department":[{"_id":"TiBr"}],"publisher":"Université de Bordeaux","citation":{"ama":"Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 2022;34(3):679-703. doi:10.5802/JTNB.1222","apa":"Horesh, T., & Paulin, F. (2022). Effective equidistribution of lattice points in positive characteristic. Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux. https://doi.org/10.5802/JTNB.1222","ista":"Horesh T, Paulin F. 2022. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 34(3), 679–703.","ieee":"T. Horesh and F. Paulin, “Effective equidistribution of lattice points in positive characteristic,” Journal de Theorie des Nombres de Bordeaux, vol. 34, no. 3. Université de Bordeaux, pp. 679–703, 2022.","chicago":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux, 2022. https://doi.org/10.5802/JTNB.1222.","mla":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux, vol. 34, no. 3, Université de Bordeaux, 2022, pp. 679–703, doi:10.5802/JTNB.1222.","short":"T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"full_name":"Horesh, Tal","first_name":"Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","last_name":"Horesh"},{"first_name":"Frédéric","full_name":"Paulin, Frédéric","last_name":"Paulin"}],"doi":"10.5802/JTNB.1222","oa_version":"Published Version","status":"public","researchdata_availability":"no","external_id":{"arxiv":["2001.01534"],"isi":["000926504300003"]},"date_published":"2022-01-27T00:00:00Z","title":"Effective equidistribution of lattice points in positive characteristic","acknowledgement":"The authors warmly thank Amos Nevo for having presented the authors to each other during\r\na beautiful conference in Goa in February 2016, where the idea of this paper was born. The\r\nfirst author thanks the IHES for two post-doctoral years when most of this paper was discussed,\r\nand the Topology team in Orsay for financial support at the final stage. The first author was\r\nsupported by the EPRSC EP/P026710/1 grant. Finally, we warmly thank the referee for many\r\nvery helpful comments that have improved the readability of this paper.","has_accepted_license":"1","publication_status":"published","oa":1,"file_date_updated":"2023-02-27T09:10:13Z","supplementarymaterial":"no","volume":34,"date_updated":"2026-07-29T10:46:58Z","publication":"Journal de Theorie des Nombres de Bordeaux","arxiv":1,"quality_controlled":"1","month":"01"},{"acknowledged_ssus":[{"_id":"EM-Fac"},{"_id":"M-Shop"}],"date_created":"2022-09-08T09:51:09Z","year":"2022","isi":1,"day":"29","language":[{"iso":"eng"}],"_id":"12065","intvolume":" 7","file":[{"access_level":"open_access","checksum":"cf0bed3a2535c11d27244cd029dbc1d0","content_type":"application/pdf","relation":"main_file","file_size":3827583,"date_created":"2023-01-20T08:43:51Z","date_updated":"2023-01-20T08:43:51Z","file_id":"12319","success":1,"creator":"dernst","file_name":"2022_ACSEnergyLetters_Prehal.pdf"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"corr_author":"1","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"20607"}]},"issue":"9","scopus_import":"1","publication_identifier":{"eissn":["2380-8195"]},"article_processing_charge":"Yes (via OA deal)","ddc":["540"],"department":[{"_id":"StFr"},{"_id":"EM-Fac"}],"type":"journal_article","abstract":[{"text":"Capacity, rate performance, and cycle life of aprotic Li–O2 batteries critically depend on reversible electrodeposition of Li2O2. Current understanding states surface-adsorbed versus solvated LiO2 controls Li2O2 growth as surface film or as large particles. Herein, we show that Li2O2 forms across a wide range of electrolytes, carbons, and current densities as particles via solution-mediated LiO2 disproportionation, bringing into question the prevalence of any surface growth under practical conditions. We describe a unified O2 reduction mechanism, which can explain all found capacity relations and Li2O2 morphologies with exclusive solution discharge. Determining particle morphology and achievable capacities are species mobilities, true areal rate, and the degree of LiO2 association in solution. Capacity is conclusively limited by mass transport through the tortuous Li2O2 rather than electron transport through a passivating Li2O2 film. Provided that species mobilities and surface growth are high, high capacities are also achieved with weakly solvating electrolytes, which were previously considered prototypical for low capacity via surface growth.","lang":"eng"}],"article_type":"original","page":"3112-3119","date_published":"2022-08-29T00:00:00Z","title":"Exclusive solution discharge in Li-O₂ batteries?","external_id":{"pmid":["36120663"],"isi":["000860787000001"]},"status":"public","oa_version":"Published Version","pmid":1,"doi":"10.1021/acsenergylett.2c01711","author":[{"last_name":"Prehal","full_name":"Prehal, Christian","first_name":"Christian"},{"full_name":"Mondal, Soumyadip","first_name":"Soumyadip","last_name":"Mondal","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48"},{"orcid":"0000-0001-6206-4200","id":"36DB3A20-F248-11E8-B48F-1D18A9856A87","last_name":"Lovicar","first_name":"Ludek","full_name":"Lovicar, Ludek"},{"first_name":"Stefan Alexander","full_name":"Freunberger, Stefan Alexander","orcid":"0000-0003-2902-5319","last_name":"Freunberger","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425"}],"citation":{"short":"C. Prehal, S. Mondal, L. Lovicar, S.A. Freunberger, ACS Energy Letters 7 (2022) 3112–3119.","mla":"Prehal, Christian, et al. “Exclusive Solution Discharge in Li-O₂ Batteries?” ACS Energy Letters, vol. 7, no. 9, American Chemical Society, 2022, pp. 3112–19, doi:10.1021/acsenergylett.2c01711.","chicago":"Prehal, Christian, Soumyadip Mondal, Ludek Lovicar, and Stefan Alexander Freunberger. “Exclusive Solution Discharge in Li-O₂ Batteries?” ACS Energy Letters. American Chemical Society, 2022. https://doi.org/10.1021/acsenergylett.2c01711.","ista":"Prehal C, Mondal S, Lovicar L, Freunberger SA. 2022. Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. 7(9), 3112–3119.","apa":"Prehal, C., Mondal, S., Lovicar, L., & Freunberger, S. A. (2022). Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. American Chemical Society. https://doi.org/10.1021/acsenergylett.2c01711","ieee":"C. Prehal, S. Mondal, L. Lovicar, and S. A. Freunberger, “Exclusive solution discharge in Li-O₂ batteries?,” ACS Energy Letters, vol. 7, no. 9. American Chemical Society, pp. 3112–3119, 2022.","ama":"Prehal C, Mondal S, Lovicar L, Freunberger SA. Exclusive solution discharge in Li-O₂ batteries? ACS Energy Letters. 2022;7(9):3112-3119. doi:10.1021/acsenergylett.2c01711"},"publisher":"American Chemical Society","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2023-01-20T08:43:51Z","oa":1,"publication_status":"published","has_accepted_license":"1","acknowledgement":"S.A.F. and C.P. are indebted to the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 636069). This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant NanoEvolution, Grant Agreement No. 894042. S.A.F. and S.M. are indebted to Institute of Science and Technology Austria (ISTA) for support. This research was supported by the Scientific Service Units of ISTA through resources provided by the Electron Microscopy Facility and the Miba Machine Shop. C.P. thanks Vanessa Wood (ETH Zürich) for her continuing support.","month":"08","quality_controlled":"1","publication":"ACS Energy Letters","date_updated":"2026-07-29T12:57:14Z","volume":7},{"type":"journal_article","abstract":[{"text":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function. ","lang":"eng"}],"department":[{"_id":"GradSch"},{"_id":"KrCh"}],"page":"100-119","article_type":"original","external_id":{"isi":["000731918100001"],"arxiv":["1904.13360"]},"title":"Finite-memory strategies in POMDPs with long-run average objectives","date_published":"2022-02-01T00:00:00Z","status":"public","doi":"10.1287/moor.2020.1116","oa_version":"Preprint","citation":{"chicago":"Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” Mathematics of Operations Research. Institute for Operations Research and the Management Sciences, 2022. https://doi.org/10.1287/moor.2020.1116.","short":"K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations Research 47 (2022) 100–119.","mla":"Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” Mathematics of Operations Research, vol. 47, no. 1, Institute for Operations Research and the Management Sciences, 2022, pp. 100–19, doi:10.1287/moor.2020.1116.","ama":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. 2022;47(1):100-119. doi:10.1287/moor.2020.1116","ieee":"K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies in POMDPs with long-run average objectives,” Mathematics of Operations Research, vol. 47, no. 1. Institute for Operations Research and the Management Sciences, pp. 100–119, 2022.","ista":"Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. 47(1), 100–119.","apa":"Chatterjee, K., Saona Urmeneta, R. J., & Ziliotto, B. (2022). Finite-memory strategies in POMDPs with long-run average objectives. Mathematics of Operations Research. Institute for Operations Research and the Management Sciences. https://doi.org/10.1287/moor.2020.1116"},"publisher":"Institute for Operations Research and the Management Sciences","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"},{"orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta","first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J"},{"last_name":"Ziliotto","first_name":"Bruno","full_name":"Ziliotto, Bruno"}],"oa":1,"publication_status":"published","acknowledgement":"Partially supported by Austrian Science Fund (FWF) NFN Grant No RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT through grant C15E03.\r\n","arxiv":1,"month":"02","quality_controlled":"1","publication":"Mathematics of Operations Research","date_updated":"2026-07-29T13:14:36Z","volume":47,"date_created":"2021-04-08T09:33:31Z","year":"2022","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.13360"}],"isi":1,"intvolume":" 47","_id":"9311","language":[{"iso":"eng"}],"keyword":["Management Science and Operations Research","General Mathematics","Computer Science Applications"],"day":"01","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"20234"}]},"scopus_import":"1","issue":"1","publication_identifier":{"eissn":["1526-5471"],"issn":["0364-765X"]},"project":[{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407","name":"Game Theory","call_identifier":"FWF"}],"article_processing_charge":"No"},{"ddc":["530"],"department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"abstract":[{"text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.","lang":"eng"}],"type":"journal_article","article_type":"original","date_published":"2022-07-29T00:00:00Z","title":"The BCS energy gap at high density","article_number":"5","external_id":{"isi":["000833007200002"]},"status":"public","oa_version":"Published Version","doi":"10.1007/s10955-022-02965-9","author":[{"full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik"},{"full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288"}],"publisher":"Springer Nature","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9.","apa":"Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9"},"file_date_updated":"2022-08-08T07:36:34Z","oa":1,"publication_status":"published","has_accepted_license":"1","acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","quality_controlled":"1","month":"07","publication":"Journal of Statistical Physics","date_updated":"2026-07-29T13:18:16Z","volume":189,"date_created":"2022-08-05T11:36:56Z","year":"2022","isi":1,"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"day":"29","intvolume":" 189","_id":"11732","language":[{"iso":"eng"}],"file":[{"date_created":"2022-08-08T07:36:34Z","file_size":419563,"relation":"main_file","checksum":"b398c4dbf65f71d417981d6e366427e9","content_type":"application/pdf","access_level":"open_access","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","creator":"dernst","file_id":"11746","success":1,"date_updated":"2022-08-08T07:36:34Z"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"related_material":{"record":[{"id":"18135","status":"public","relation":"dissertation_contains"},{"relation":"dissertation_contains","status":"public","id":"19540"}]},"corr_author":"1","ec_funded":1,"scopus_import":"1","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"article_processing_charge":"Yes (via OA deal)"},{"ec_funded":1,"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"issue":"1","scopus_import":"1","project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"article_processing_charge":"No","year":"2022","date_created":"2022-01-18T16:18:25Z","isi":1,"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"file":[{"file_id":"10647","success":1,"creator":"cchlebak","date_updated":"2022-01-19T09:41:14Z","file_name":"2022_LettersMathPhys_Henheik.pdf","content_type":"application/pdf","checksum":"7e8e69b76e892c305071a4736131fe18","access_level":"open_access","date_created":"2022-01-19T09:41:14Z","file_size":357547,"relation":"main_file"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"keyword":["mathematical physics","statistical and nonlinear physics"],"day":"18","language":[{"iso":"eng"}],"_id":"10642","intvolume":" 112","publication_status":"published","file_date_updated":"2022-01-19T09:41:14Z","oa":1,"has_accepted_license":"1","acknowledgement":"J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL.","publication":"Letters in Mathematical Physics","quality_controlled":"1","month":"01","arxiv":1,"volume":112,"date_updated":"2026-07-29T13:18:16Z","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"ddc":["530"],"abstract":[{"lang":"eng","text":"Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences."}],"type":"journal_article","article_type":"original","status":"public","title":"Local stability of ground states in locally gapped and weakly interacting quantum spin systems","article_number":"9","date_published":"2022-01-18T00:00:00Z","external_id":{"pmid":["35125630"],"isi":["000744930400001"],"arxiv":["2106.13780"]},"author":[{"first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X"},{"full_name":"Teufel, Stefan","first_name":"Stefan","last_name":"Teufel"},{"full_name":"Wessel, Tom","first_name":"Tom","last_name":"Wessel"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” Letters in Mathematical Physics, vol. 112, no. 1. Springer Nature, 2022.","apa":"Henheik, S. J., Teufel, S., & Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01494-y","ista":"Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9.","ama":"Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y","mla":"Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics, vol. 112, no. 1, 9, Springer Nature, 2022, doi:10.1007/s11005-021-01494-y.","short":"S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).","chicago":"Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-021-01494-y."},"publisher":"Springer Nature","oa_version":"Published Version","pmid":1,"doi":"10.1007/s11005-021-01494-y"},{"publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"issue":"1","scopus_import":"1","ec_funded":1,"article_processing_charge":"Yes (via OA deal)","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"isi":1,"year":"2022","date_created":"2022-01-13T15:40:53Z","file":[{"date_updated":"2022-01-14T07:27:45Z","creator":"cchlebak","file_id":"10624","success":1,"file_name":"2022_MathPhyAnalGeo_Henheik.pdf","checksum":"d44f8123a52592a75b2c3b8ee2cd2435","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_size":505804,"date_created":"2022-01-14T07:27:45Z"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"corr_author":"1","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"keyword":["geometry and topology","mathematical physics"],"day":"11","language":[{"iso":"eng"}],"_id":"10623","intvolume":" 25","has_accepted_license":"1","acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","publication_status":"published","file_date_updated":"2022-01-14T07:27:45Z","oa":1,"volume":25,"date_updated":"2026-07-29T13:18:16Z","publication":"Mathematical Physics, Analysis and Geometry","quality_controlled":"1","month":"01","arxiv":1,"article_type":"original","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"ddc":["514"],"type":"journal_article","abstract":[{"lang":"eng","text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory."}],"author":[{"first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"}],"publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"S. J. Henheik, “The BCS critical temperature at high density,” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1. Springer Nature, 2022.","ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-021-09415-0","ama":"Henheik SJ. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 2022;25(1). doi:10.1007/s11040-021-09415-0","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1, 3, Springer Nature, 2022, doi:10.1007/s11040-021-09415-0.","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2022. https://doi.org/10.1007/s11040-021-09415-0."},"oa_version":"Published Version","doi":"10.1007/s11040-021-09415-0","status":"public","article_number":"3","title":"The BCS critical temperature at high density","date_published":"2022-01-11T00:00:00Z","external_id":{"arxiv":["2106.02015"],"isi":["000741387600001"]}},{"publication_identifier":{"issn":["0022-2488"]},"scopus_import":"1","issue":"12","ec_funded":1,"article_processing_charge":"No","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"isi":1,"year":"2022","date_created":"2023-01-15T23:00:52Z","related_material":{"record":[{"id":"19540","status":"public","relation":"dissertation_contains"}]},"corr_author":"1","file":[{"date_updated":"2023-01-27T07:10:52Z","success":1,"file_id":"12410","creator":"dernst","file_name":"2022_JourMathPhysics_Henheik2.pdf","access_level":"open_access","checksum":"213b93750080460718c050e4967cfdb4","content_type":"application/pdf","relation":"main_file","file_size":5251092,"date_created":"2023-01-27T07:10:52Z"}],"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"_id":"12184","language":[{"iso":"eng"}],"intvolume":" 63","day":"01","acknowledgement":"It is a pleasure to thank Stefan Teufel for numerous interesting discussions, fruitful collaboration, and many helpful comments on an earlier version of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges financial support from the DFG research unit FOR 5413 “Long-range interacting quantum spin systems out of equilibrium: Experiment, Theory and Mathematics.\" ","has_accepted_license":"1","publication_status":"published","oa":1,"file_date_updated":"2023-01-27T07:10:52Z","volume":63,"date_updated":"2026-07-29T13:18:16Z","publication":"Journal of Mathematical Physics","arxiv":1,"quality_controlled":"1","month":"12","article_type":"original","type":"journal_article","abstract":[{"lang":"eng","text":"We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs."}],"ddc":["510"],"department":[{"_id":"LaEr"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"short":"S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).","mla":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics, vol. 63, no. 12, 121101, AIP Publishing, 2022, doi:10.1063/5.0123441.","chicago":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0123441.","ieee":"S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice systems,” Journal of Mathematical Physics, vol. 63, no. 12. AIP Publishing, 2022.","ista":"Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 63(12), 121101.","apa":"Henheik, S. J., & Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0123441","ama":"Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 2022;63(12). doi:10.1063/5.0123441"},"publisher":"AIP Publishing","author":[{"full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X"},{"full_name":"Wessel, Tom","first_name":"Tom","last_name":"Wessel"}],"doi":"10.1063/5.0123441","oa_version":"Published Version","status":"public","external_id":{"arxiv":["2208.12220"],"isi":["000905776200001"]},"date_published":"2022-12-01T00:00:00Z","article_number":"121101","title":"On adiabatic theory for extended fermionic lattice systems"},{"has_accepted_license":"1","acknowledgement":"We gratefully acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 programme (grant agreement No 805223 ScaleML), as well as computational support from AWS EC2. We thank Eldar Kurtic for providing us BERT code and pretrained models, and the Neural Magic Team, notably Michael Goin and Mark Kurtz, for support with their software. ","publication_status":"published","oa":1,"file_date_updated":"2024-08-05T09:25:39Z","volume":35,"date_updated":"2026-07-29T13:48:39Z","publication":"36th Conference on Neural Information Processing Systems","arxiv":1,"quality_controlled":"1","month":"12","type":"conference","abstract":[{"lang":"eng","text":"We consider the problem of model compression for deep neural networks (DNNs) in the challenging one-shot/post-training setting, in which we are given an accurate trained model, and must compress it without any retraining, based only on a small amount of calibration input data. This problem has become popular in view of the emerging software and hardware support for executing models compressed via pruning and/or quantization with speedup, and well-performing solutions have been proposed independently for both compression approaches.In this paper, we introduce a new compression framework which covers both weight pruning and quantization in a unified setting, is time- and space-efficient, and considerably improves upon the practical performance of existing post-training methods. At the technical level, our approach is based on an exact and efficient realization of the classical Optimal Brain Surgeon (OBS) framework of [LeCun, Denker, and Solla, 1990] extended to also cover weight quantization at the scale of modern DNNs. From the practical perspective, our experimental results show that it can improve significantly upon the compression-accuracy trade-offs of existing post-training methods, and that it can enable the accurate compound application of both pruning and quantization in a post-training setting."}],"department":[{"_id":"DaAl"}],"ddc":["000"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"ML Research Press","citation":{"ista":"Frantar E, Singh SP, Alistarh D-A. 2022. Optimal brain compression: A framework for accurate post-training quantization and pruning. 36th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, NeurIPS, vol. 35.","apa":"Frantar, E., Singh, S. P., & Alistarh, D.-A. (2022). Optimal brain compression: A framework for accurate post-training quantization and pruning. In 36th Conference on Neural Information Processing Systems (Vol. 35). New Orleans, LA, United States: ML Research Press.","ieee":"E. Frantar, S. P. Singh, and D.-A. Alistarh, “Optimal brain compression: A framework for accurate post-training quantization and pruning,” in 36th Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2022, vol. 35.","ama":"Frantar E, Singh SP, Alistarh D-A. Optimal brain compression: A framework for accurate post-training quantization and pruning. In: 36th Conference on Neural Information Processing Systems. Vol 35. ML Research Press; 2022.","mla":"Frantar, Elias, et al. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” 36th Conference on Neural Information Processing Systems, vol. 35, ML Research Press, 2022.","short":"E. Frantar, S.P. Singh, D.-A. Alistarh, in:, 36th Conference on Neural Information Processing Systems, ML Research Press, 2022.","chicago":"Frantar, Elias, Sidak Pal Singh, and Dan-Adrian Alistarh. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” In 36th Conference on Neural Information Processing Systems, Vol. 35. ML Research Press, 2022."},"author":[{"first_name":"Elias","full_name":"Frantar, Elias","id":"09a8f98d-ec99-11ea-ae11-c063a7b7fe5f","last_name":"Frantar"},{"full_name":"Singh, Sidak Pal","first_name":"Sidak Pal","last_name":"Singh","id":"DD138E24-D89D-11E9-9DC0-DEF6E5697425"},{"orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","last_name":"Alistarh","full_name":"Alistarh, Dan-Adrian","first_name":"Dan-Adrian"}],"oa_version":"Submitted Version","status":"public","external_id":{"arxiv":["2208.11580"]},"date_published":"2022-12-01T00:00:00Z","title":"Optimal brain compression: A framework for accurate post-training quantization and pruning","publication_identifier":{"isbn":["9781713871088"]},"scopus_import":"1","ec_funded":1,"article_processing_charge":"No","alternative_title":["NeurIPS"],"project":[{"grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425","name":"Elastic Coordination for Scalable Machine Learning","call_identifier":"H2020"}],"conference":{"start_date":"2022-11-28","name":"NeurIPS: Neural Information Processing Systems","end_date":"2022-12-09","location":"New Orleans, LA, United States"},"year":"2022","date_created":"2024-05-29T06:38:26Z","corr_author":"1","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"17485"}]},"file":[{"checksum":"38e7d75f578e8d2e207c81895e09f211","content_type":"application/pdf","access_level":"open_access","file_size":491843,"date_created":"2024-08-05T09:25:39Z","relation":"main_file","file_id":"17391","success":1,"creator":"dernst","date_updated":"2024-08-05T09:25:39Z","file_name":"2022_NeurIPS_Frantar.pdf"}],"_id":"17087","language":[{"iso":"eng"}],"intvolume":" 35","day":"01"},{"type":"journal_article","abstract":[{"text":"Inspired by the study of loose cycles in hypergraphs, we define the loose core in hypergraphs as a structurewhich mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition at a certain critical threshold and determine this order, as well as the number of edges, asymptotically in the subcritical and supercritical regimes.
\r\nOur main tool is an algorithm called CoreConstruct, which enables us to analyse a peeling process for the loose core. By analysing this algorithm we determine the asymptotic degree distribution of vertices in the loose core and in particular how many vertices and edges the loose core contains. As a corollary we obtain an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$.","lang":"eng"}],"department":[{"_id":"MaKw"}],"ddc":["510"],"article_type":"original","external_id":{"isi":["000876763300001"]},"title":"Loose cores and cycles in random hypergraphs","article_number":"P4.13","date_published":"2022-10-21T00:00:00Z","status":"public","doi":"10.37236/10794","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics, 2022. https://doi.org/10.37236/10794.","mla":"Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, Electronic Journal of Combinatorics, 2022, doi:10.37236/10794.","short":"O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29 (2022).","ama":"Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794","ieee":"O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,” The Electronic Journal of Combinatorics, vol. 29, no. 4. Electronic Journal of Combinatorics, 2022.","ista":"Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13.","apa":"Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics. https://doi.org/10.37236/10794"},"publisher":"Electronic Journal of Combinatorics","author":[{"id":"43f4ddd0-a46b-11ec-8df6-ef3703bd721d","last_name":"Cooley","full_name":"Cooley, Oliver","first_name":"Oliver"},{"last_name":"Kang","first_name":"Mihyun","full_name":"Kang, Mihyun"},{"first_name":"Julian","full_name":"Zalla, Julian","last_name":"Zalla"}],"oa":1,"file_date_updated":"2023-01-30T11:45:13Z","publication_status":"published","acknowledgement":"Supported by Austrian Science Fund (FWF): I3747, W1230.","has_accepted_license":"1","month":"10","quality_controlled":"1","publication":"The Electronic Journal of Combinatorics","date_updated":"2026-08-04T09:29:03Z","volume":29,"year":"2022","date_created":"2023-01-16T10:03:57Z","isi":1,"_id":"12286","intvolume":" 29","language":[{"iso":"eng"}],"keyword":["Computational Theory and Mathematics","Geometry and Topology","Theoretical Computer Science","Applied Mathematics","Discrete Mathematics and Combinatorics"],"day":"21","file":[{"checksum":"00122b2459f09b5ae43073bfba565e94","content_type":"application/pdf","access_level":"open_access","file_size":626953,"date_created":"2023-01-30T11:45:13Z","relation":"main_file","creator":"dernst","file_id":"12462","success":1,"date_updated":"2023-01-30T11:45:13Z","file_name":"2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf"}],"tmp":{"short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png"},"scopus_import":"1","issue":"4","publication_identifier":{"eissn":["1077-8926"]},"article_processing_charge":"No"},{"abstract":[{"text":"We determine an asymptotic formula for the number of integral points of\r\nbounded height on a certain toric variety, which is incompatible with part of a\r\npreprint by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski density of integral points in certain regions of\r\nvarieties.","lang":"eng"}],"type":"preprint","department":[{"_id":"TiBr"}],"status":"public","researchdata_availability":"no","external_id":{"arxiv":["2202.10909"]},"date_published":"2022-02-22T00:00:00Z","title":"Integral points of bounded height on a certain toric variety","article_number":"2202.10909","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ieee":"F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. .","apa":"Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric variety. arXiv. https://doi.org/10.48550/arXiv.2202.10909","ista":"Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv, 2202.10909.","ama":"Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909","short":"F.A. Wilsch, ArXiv (n.d.).","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909.","chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2202.10909."},"author":[{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","orcid":"0000-0001-7302-8256","first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander"}],"doi":"10.48550/arXiv.2202.10909","oa_version":"Preprint","publication_status":"submitted","oa":1,"supplementarymaterial":"no","acknowledgement":"Part of this work was conducted as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring this time, I had interesting and fruitful discussions on the interpretation of the result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir. I wish to thank him for these\r\nopportunities and for his useful remarks on earlier versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35.","publication":"arXiv","arxiv":1,"month":"02","date_updated":"2026-08-06T10:31:31Z","date_created":"2022-02-23T09:04:43Z","year":"2022","main_file_link":[{"url":"https://arxiv.org/abs/2202.10909","open_access":"1"}],"corr_author":"1","_id":"10788","language":[{"iso":"eng"}],"day":"22","keyword":["Integral point","toric variety","Manin's conjecture"],"das_tickbox":"0","project":[{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","name":"New frontiers of the Manin conjecture","call_identifier":"FWF"}],"article_processing_charge":"No"},{"das_tickbox":"0","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2208.05422"}],"year":"2022","date_created":"2024-10-10T12:46:41Z","corr_author":"1","related_material":{"record":[{"relation":"later_version","status":"public","id":"18705"},{"id":"18132","relation":"dissertation_contains","status":"public"}]},"_id":"18293","language":[{"iso":"eng"}],"day":"10","publication_status":"draft","oa":1,"supplementarymaterial":"no","date_updated":"2026-08-06T10:33:33Z","publication":"arXiv","arxiv":1,"month":"08","abstract":[{"lang":"eng","text":"Given a non-singular diagonal cubic hypersurface X⊂Pn−1 over Fq(t) with char(Fq)≠3, we show that the number of rational points of height at most |P| is O(|P|3+ε) for n=6 and O(|P|2+ε) for n=4. In fact, if n=4 and char(Fq)>3 we prove that the number of rational points away from any rational line contained in X is bounded by O(|P|3/2+ε). From the result in 6 variables we deduce weak approximation for diagonal cubic hypersurfaces for n≥7 over Fq(t) when char(Fq)>3 and handle Waring's problem for cubes in 7 variables over Fq(t) when char(Fq)≠3. Our results answer a question of Davenport regarding the number of solutions of bounded height to x31+x32+x33=x34+x35+x36 with xi∈Fq[t]."}],"type":"preprint","department":[{"_id":"TiBr"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ista":"Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv, 2208.05422.","apa":"Glas, J., & Hochfilzer, L. (n.d.). On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. https://doi.org/10.48550/arXiv.2208.05422","ieee":"J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic forms over Fq(t),” arXiv. .","ama":"Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. doi:10.48550/arXiv.2208.05422","short":"J. Glas, L. Hochfilzer, ArXiv (n.d.).","mla":"Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, 2208.05422, doi:10.48550/arXiv.2208.05422.","chicago":"Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, n.d. https://doi.org/10.48550/arXiv.2208.05422."},"author":[{"first_name":"Jakob","full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas"},{"last_name":"Hochfilzer","first_name":"Leonhard","full_name":"Hochfilzer, Leonhard"}],"doi":"10.48550/arXiv.2208.05422","OA_place":"repository","oa_version":"Preprint","researchdata_availability":"no","status":"public","external_id":{"arxiv":["2208.05422"]},"title":"On a question of Davenport and diagonal cubic forms over Fq(t)","date_published":"2022-08-10T00:00:00Z","article_number":"2208.05422"},{"month":"09","date_updated":"2026-08-06T11:09:27Z","publication_status":"published","oa":1,"file_date_updated":"2022-09-12T11:24:21Z","degree_awarded":"PhD","supplementarymaterial":"no","has_accepted_license":"1","acknowledgement":"I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385.","researchdata_availability":"no","status":"public","title":"Existence and density problems in Diophantine geometry: From norm forms to Campana points","date_published":"2022-09-08T00:00:00Z","citation":{"mla":"Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.","short":"A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.","chicago":"Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12072.","ieee":"A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.","ista":"Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.","apa":"Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072","ama":"Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publisher":"Institute of Science and Technology Austria","author":[{"orcid":"0000-0002-1812-2810","id":"440EB050-F248-11E8-B48F-1D18A9856A87","last_name":"Shute","first_name":"Alec L","full_name":"Shute, Alec L"}],"doi":"10.15479/at:ista:12072","oa_version":"Published Version","OA_place":"publisher","type":"dissertation","abstract":[{"lang":"eng","text":"In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. "}],"department":[{"_id":"GradSch"},{"_id":"TiBr"}],"ddc":["512"],"supervisor":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","first_name":"Timothy D"}],"page":"208","alternative_title":["ISTA Thesis"],"project":[{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"}],"article_processing_charge":"No","das_tickbox":"0","ec_funded":1,"doi_confirm":"1","publication_identifier":{"isbn":["978-3-99078-023-7"],"issn":["2663-337X"]},"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"12076"},{"id":"12077","relation":"part_of_dissertation","status":"public"}]},"corr_author":"1","file":[{"checksum":"bf073344320e05d92c224786cec2e92d","content_type":"application/pdf","access_level":"open_access","file_size":1907386,"date_created":"2022-09-08T21:50:34Z","relation":"main_file","file_id":"12073","success":1,"creator":"ashute","date_updated":"2022-09-08T21:50:34Z","file_name":"Thesis_final_draft.pdf"},{"file_id":"12074","creator":"ashute","date_updated":"2022-09-12T11:24:21Z","file_name":"athesis.tex","access_level":"closed","checksum":"b054ac6baa09f70e8235403a4abbed80","content_type":"application/octet-stream","file_size":495393,"date_created":"2022-09-08T21:50:42Z","relation":"source_file"},{"date_updated":"2022-09-12T11:24:21Z","creator":"ashute","file_id":"12078","file_name":"qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip","access_level":"closed","content_type":"application/x-zip-compressed","checksum":"0a31e905f1cff5eb8110978cc90e1e79","relation":"source_file","date_created":"2022-09-09T12:05:00Z","file_size":944534}],"tmp":{"short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png"},"_id":"12072","language":[{"iso":"eng"}],"day":"08","date_created":"2022-09-08T21:53:03Z","year":"2022"},{"isi":1,"date_created":"2021-05-02T22:01:29Z","year":"2022","_id":"9364","language":[{"iso":"eng"}],"intvolume":" 172","day":"01","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"file":[{"checksum":"614d2e9b83a78100408e4ee7752a80a8","content_type":"application/pdf","access_level":"open_access","date_created":"2021-12-01T14:01:54Z","file_size":334064,"relation":"main_file","file_id":"10395","creator":"cchlebak","success":1,"date_updated":"2021-12-01T14:01:54Z","file_name":"2021_MathProcCamPhilSoc_Bonolis.pdf"}],"scopus_import":"1","issue":"3","publication_identifier":{"eissn":["1469-8064"],"issn":["0305-0041"]},"das_tickbox":"0","article_processing_charge":"Yes (via OA deal)","page":"563 - 590","article_type":"original","type":"journal_article","abstract":[{"text":"Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H 0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).","lang":"eng"}],"department":[{"_id":"TiBr"}],"ddc":["510"],"doi":"10.1017/S030500412100030X","oa_version":"Published Version","citation":{"ieee":"D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022.","apa":"Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S030500412100030X","ista":"Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590.","ama":"Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X","mla":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X.","short":"D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.","chicago":"Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022. https://doi.org/10.1017/S030500412100030X."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publisher":"Cambridge University Press","author":[{"id":"6A459894-5FDD-11E9-AF35-BB24E6697425","last_name":"Bonolis","full_name":"Bonolis, Dante","first_name":"Dante"}],"external_id":{"arxiv":["1811.10563"],"isi":["000784421500001"]},"date_published":"2022-05-01T00:00:00Z","title":"On the size of the maximum of incomplete Kloosterman sums","status":"public","researchdata_availability":"no","has_accepted_license":"1","acknowledgement":"I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments.","oa":1,"supplementarymaterial":"no","file_date_updated":"2021-12-01T14:01:54Z","publication_status":"published","date_updated":"2026-08-06T11:08:12Z","volume":172,"arxiv":1,"quality_controlled":"1","month":"05","publication":"Mathematical Proceedings of the Cambridge Philosophical Society"},{"publication":"Algebra & Number Theory","arxiv":1,"quality_controlled":"1","month":"12","volume":16,"date_updated":"2026-08-06T11:07:27Z","publication_status":"published","oa":1,"supplementarymaterial":"no","acknowledgement":"The authors are very grateful to Will Sawin for useful remarks about this topic. While working on this paper the first two authors were supported by EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35.","status":"public","researchdata_availability":"no","external_id":{"isi":["000961514100004"],"arxiv":["2102.11552"]},"date_published":"2022-12-01T00:00:00Z","title":"Equidistribution and freeness on Grassmannians","publisher":"Mathematical Sciences Publishers","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"short":"T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.","mla":"Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385.","chicago":"Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory. Mathematical Sciences Publishers, 2022. https://doi.org/10.2140/ant.2022.16.2385.","ieee":"T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.","apa":"Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385","ista":"Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407.","ama":"Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 2022;16(10):2385-2407. doi:10.2140/ant.2022.16.2385"},"author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","first_name":"Timothy D"},{"first_name":"Tal","full_name":"Horesh, Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","last_name":"Horesh"},{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","last_name":"Wilsch","orcid":"0000-0001-7302-8256","first_name":"Florian Alexander","full_name":"Wilsch, Florian Alexander"}],"doi":"10.2140/ant.2022.16.2385","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":"We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on \"freeness\" for rational points of bounded height on Fano\r\nvarieties."}],"department":[{"_id":"TiBr"}],"page":"2385-2407","article_type":"original","project":[{"name":"Between rational and integral points","_id":"26A8D266-B435-11E9-9278-68D0E5697425","grant_number":"EP-P026710-2"},{"grant_number":"P32428","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","name":"New frontiers of the Manin conjecture","call_identifier":"FWF"}],"article_processing_charge":"No","das_tickbox":"0","publication_identifier":{"eissn":["1944-7833"],"issn":["1937-0652"]},"scopus_import":"1","issue":"10","corr_author":"1","language":[{"iso":"eng"}],"_id":"9199","intvolume":" 16","day":"01","year":"2022","date_created":"2021-02-25T09:56:57Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2102.11552"}],"isi":1},{"oa_version":"Preprint","pmid":1,"doi":"10.1063/5.0079844","author":[{"last_name":"Lee","full_name":"Lee, Jacob G.","first_name":"Jacob G."},{"first_name":"Chris J.","full_name":"Pickard, Chris J.","last_name":"Pickard"},{"first_name":"Bingqing","full_name":"Cheng, Bingqing","last_name":"Cheng","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9","orcid":"0000-0002-3584-9632"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"mla":"Lee, Jacob G., et al. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics, vol. 156, no. 7, 074106, AIP Publishing, 2022, doi:10.1063/5.0079844.","short":"J.G. Lee, C.J. Pickard, B. Cheng, The Journal of Chemical Physics 156 (2022).","chicago":"Lee, Jacob G., Chris J. Pickard, and Bingqing Cheng. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0079844.","ieee":"J. G. Lee, C. J. Pickard, and B. Cheng, “High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential,” The Journal of chemical physics, vol. 156, no. 7. AIP Publishing, 2022.","ista":"Lee JG, Pickard CJ, Cheng B. 2022. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 156(7), 074106.","apa":"Lee, J. G., Pickard, C. J., & Cheng, B. (2022). High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0079844","ama":"Lee JG, Pickard CJ, Cheng B. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 2022;156(7). doi:10.1063/5.0079844"},"publisher":"AIP Publishing","title":"High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential","article_number":"074106","date_published":"2022-02-16T00:00:00Z","external_id":{"pmid":["35183078"],"isi":["000796704500014"],"arxiv":["2111.12968"]},"status":"public","researchdata_availability":"yes","article_type":"original","dataavailabilitystatement":"All original data generated for the study and the Δ-learning potential for TiO2 constructed in this study are in the SI repository at https://github.com/jacobglee1/tio2-mlp.","department":[{"_id":"BiCh"}],"abstract":[{"lang":"eng","text":"Titanium dioxide has been extensively studied in the rutile or anatase phase, while its high-pressure phases are less well-understood, despite that many are thought to have interesting optical, mechanical, and electrochemical properties. First-principles methods, such as density functional theory (DFT), are often used to compute the enthalpies of TiO2 phases at 0 K, but they are expensive and, thus, impractical for long time scale and large system-size simulations at finite temperatures. On the other hand, cheap empirical potentials fail to capture the relative stabilities of various polymorphs. To model the thermodynamic behaviors of ambient and high-pressure phases of TiO2, we design an empirical model as a baseline and then train a machine learning potential based on the difference between the DFT data and the empirical model. This so-called Δ-learning potential contains long-range electrostatic interactions and predicts the 0 K enthalpies of stable TiO2 phases that are in good agreement with DFT. We construct a pressure–temperature phase diagram of TiO2 in the range 0 < P < 70 GPa and 100 < T < 1500 K. We then simulate dynamic phase transition processes by compressing anatase at different temperatures. At 300 K, we predominantly observe an anatase-to-baddeleyite transformation at about 20 GPa via a martensitic two-step mechanism with a highly ordered and collective atomic motion. At 2000 K, anatase can transform into cotunnite around 45–55 GPa in a thermally activated and probabilistic manner, accompanied by diffusive movement of oxygen atoms. The pressures computed for these transitions show good agreement with experiments. Our results shed light on how to synthesize and stabilize high-pressure TiO2 phases, and our method is generally applicable to other functional materials with multiple polymorphs."}],"type":"journal_article","date_updated":"2026-08-07T11:17:03Z","volume":156,"quality_controlled":"1","month":"02","arxiv":1,"publication":"The Journal of chemical physics","acknowledgement":"J.G.L. and B.C. acknowledge the resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by the EPSRC Tier-2 capital (Grant No. EP/P020259/1).","supplementarymaterial":"yes","oa":1,"publication_status":"published","day":"16","_id":"10827","intvolume":" 156","language":[{"iso":"eng"}],"corr_author":"1","isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/2111.12968","open_access":"1"}],"date_created":"2022-03-06T23:01:53Z","year":"2022","article_processing_charge":"No","issue":"7","scopus_import":"1","publication_identifier":{"eissn":["1089-7690"]},"das_tickbox":"1"}]