[{"abstract":[{"text":"We prove that every 𝐿-bilipschitz mapping ℤ 2 → ℝ2 canbe extended to a 𝐶(𝐿)-bilipschitz mapping ℝ2 → ℝ2,and we provide a polynomial upper bound for 𝐶(𝐿).Moreover, we extend the result to every separated netin ℝ2 instead of ℤ 2, with the upper bound gaininga polynomial dependence on the separation and netconstants associated to the given separated net. Thisanswers an Oberwolfach question of Navas from 2015and is also a positive solution of the two-dimensionalform of a decades old open (in all dimensions at leasttwo) problem due to Alestalo Trotsenko and Väisälä.","lang":"eng"}],"file":[{"content_type":"application/pdf","success":1,"file_id":"21836","checksum":"6dbfc7134f732d17c5c8467843a73e90","access_level":"open_access","date_created":"2026-05-07T08:27:43Z","file_name":"2026_JourLondonMathSoc_Dymond.pdf","date_updated":"2026-05-07T08:27:43Z","creator":"dernst","file_size":617569,"relation":"main_file"}],"title":"Planar bilipschitz extension from separated nets","OA_type":"hybrid","acknowledgement":"The authors wish to thank Professor Leonid Kovalev for a valuable observation on the first versionof this work, which led to improved estimates and cleaner proofs in Section 6. The present workdeveloped from a research visit of Michael Dymond to Vojtěch Kaluža at IST Austria, funded by aLondon Mathematical Society Research in Pairs grant. This work was done whilst Vojtěch Kalužawas fully funded by the Austria Science Fund (FWF) [M 3100-N].","article_processing_charge":"Yes (in subscription journal)","volume":113,"citation":{"chicago":"Dymond, Michael, and Vojtech Kaluza. “Planar Bilipschitz Extension from Separated Nets.” <i>Journal of the London Mathematical Society</i>. Wiley, 2026. <a href=\"https://doi.org/10.1112/jlms.70540\">https://doi.org/10.1112/jlms.70540</a>.","ieee":"M. Dymond and V. Kaluza, “Planar bilipschitz extension from separated nets,” <i>Journal of the London Mathematical Society</i>, vol. 113, no. 4. Wiley, 2026.","ama":"Dymond M, Kaluza V. Planar bilipschitz extension from separated nets. <i>Journal of the London Mathematical Society</i>. 2026;113(4). doi:<a href=\"https://doi.org/10.1112/jlms.70540\">10.1112/jlms.70540</a>","apa":"Dymond, M., &#38; Kaluza, V. (2026). Planar bilipschitz extension from separated nets. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.70540\">https://doi.org/10.1112/jlms.70540</a>","short":"M. Dymond, V. Kaluza, Journal of the London Mathematical Society 113 (2026).","mla":"Dymond, Michael, and Vojtech Kaluza. “Planar Bilipschitz Extension from Separated Nets.” <i>Journal of the London Mathematical Society</i>, vol. 113, no. 4, e70540, Wiley, 2026, doi:<a href=\"https://doi.org/10.1112/jlms.70540\">10.1112/jlms.70540</a>.","ista":"Dymond M, Kaluza V. 2026. Planar bilipschitz extension from separated nets. Journal of the London Mathematical Society. 113(4), e70540."},"file_date_updated":"2026-05-07T08:27:43Z","language":[{"iso":"eng"}],"day":"01","oa_version":"Published Version","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"department":[{"_id":"UlWa"}],"OA_place":"publisher","intvolume":"       113","external_id":{"arxiv":["2410.22294"]},"quality_controlled":"1","doi":"10.1112/jlms.70540","date_created":"2026-05-03T22:01:37Z","author":[{"first_name":"Michael","full_name":"Dymond, Michael","last_name":"Dymond"},{"orcid":"0000-0002-2512-8698","first_name":"Vojtech","full_name":"Kaluza, Vojtech","last_name":"Kaluza","id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E"}],"date_updated":"2026-05-07T08:29:18Z","status":"public","publisher":"Wiley","article_type":"original","scopus_import":"1","month":"04","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"project":[{"_id":"fc35eaa2-9c52-11eb-aca3-88501ab155e9","name":"Spectra and topology of graphs and of simplicial complexes","grant_number":"M03100"}],"issue":"4","_id":"21778","year":"2026","article_number":"e70540","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"fulldoi":"https://doi.org/10.1112/jlms.70540","has_accepted_license":"1","publication":"Journal of the London Mathematical Society","arxiv":1,"publication_status":"published","date_published":"2026-04-01T00:00:00Z","ddc":["510"],"type":"journal_article"},{"abstract":[{"lang":"eng","text":"The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years."}],"file":[{"file_id":"21004","checksum":"3b05bd625c81d038259a14f7e2ddd57c","content_type":"application/pdf","success":1,"file_size":235238,"relation":"main_file","access_level":"open_access","date_created":"2026-01-19T08:19:46Z","file_name":"2026_JourLondonMathSoc_Browning.pdf","creator":"dernst","date_updated":"2026-01-19T08:19:46Z"}],"title":"The Davenport–Heilbronn method: 80 years on","supplementarymaterial":"no","acknowledgement":"The author is very grateful to Jörg Brüdern, Simon Rydin Myerson and Trevor Wooley for their help and advice with preparing this survey, in addition to Vinay Kumaraswamy, Victor Wang and the anonymous referee for useful comments on an earlier draft. This work was supported by a FWF Grant (DOI 10.55776/P36278).\r\nOpen Access funding provided by Institute of Science and Technology Austria/KEMÖ.","OA_type":"hybrid","das_tickbox":"0","article_processing_charge":"Yes (via OA deal)","volume":113,"citation":{"ista":"Browning TD. 2026. The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. 113(1), e70371.","apa":"Browning, T. D. (2026). The Davenport–Heilbronn method: 80 years on. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.70371\">https://doi.org/10.1112/jlms.70371</a>","mla":"Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” <i>Journal of the London Mathematical Society</i>, vol. 113, no. 1, e70371, Wiley, 2026, doi:<a href=\"https://doi.org/10.1112/jlms.70371\">10.1112/jlms.70371</a>.","short":"T.D. Browning, Journal of the London Mathematical Society 113 (2026).","chicago":"Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” <i>Journal of the London Mathematical Society</i>. Wiley, 2026. <a href=\"https://doi.org/10.1112/jlms.70371\">https://doi.org/10.1112/jlms.70371</a>.","ieee":"T. D. Browning, “The Davenport–Heilbronn method: 80 years on,” <i>Journal of the London Mathematical Society</i>, vol. 113, no. 1. Wiley, 2026.","ama":"Browning TD. The Davenport–Heilbronn method: 80 years on. <i>Journal of the London Mathematical Society</i>. 2026;113(1). doi:<a href=\"https://doi.org/10.1112/jlms.70371\">10.1112/jlms.70371</a>"},"file_date_updated":"2026-01-19T08:19:46Z","language":[{"iso":"eng"}],"day":"06","oa_version":"Published Version","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"corr_author":"1","department":[{"_id":"TiBr"}],"intvolume":"       113","OA_place":"publisher","doi":"10.1112/jlms.70371","quality_controlled":"1","date_updated":"2026-07-16T08:33:56Z","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2026-01-18T23:02:44Z","status":"public","publisher":"Wiley","researchdata_availability":"no","article_type":"original","scopus_import":"1","PlanS_conform":"1","month":"01","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"project":[{"name":"Rational curves via function field analytic number theory","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","grant_number":"P36278"}],"issue":"1","_id":"21002","year":"2026","article_number":"e70371","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1112/jlms.70371","oa":1,"has_accepted_license":"1","publication":"Journal of the London Mathematical Society","publication_status":"published","date_published":"2026-01-06T00:00:00Z","ddc":["510"],"type":"journal_article"},{"file_date_updated":"2025-03-20T09:46:20Z","language":[{"iso":"eng"}],"citation":{"ista":"Draganić N, Petrova KH. 2025. Size‐Ramsey numbers of graphs with maximum degree three. Journal of the London Mathematical Society. 111(3), e70116.","chicago":"Draganić, Nemanja, and Kalina H Petrova. “Size‐Ramsey Numbers of Graphs with Maximum Degree Three.” <i>Journal of the London Mathematical Society</i>. Wiley, 2025. <a href=\"https://doi.org/10.1112/jlms.70116\">https://doi.org/10.1112/jlms.70116</a>.","ieee":"N. Draganić and K. H. Petrova, “Size‐Ramsey numbers of graphs with maximum degree three,” <i>Journal of the London Mathematical Society</i>, vol. 111, no. 3. Wiley, 2025.","ama":"Draganić N, Petrova KH. Size‐Ramsey numbers of graphs with maximum degree three. <i>Journal of the London Mathematical Society</i>. 2025;111(3). doi:<a href=\"https://doi.org/10.1112/jlms.70116\">10.1112/jlms.70116</a>","apa":"Draganić, N., &#38; Petrova, K. H. (2025). Size‐Ramsey numbers of graphs with maximum degree three. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.70116\">https://doi.org/10.1112/jlms.70116</a>","short":"N. Draganić, K.H. Petrova, Journal of the London Mathematical Society 111 (2025).","mla":"Draganić, Nemanja, and Kalina H. Petrova. “Size‐Ramsey Numbers of Graphs with Maximum Degree Three.” <i>Journal of the London Mathematical Society</i>, vol. 111, no. 3, e70116, Wiley, 2025, doi:<a href=\"https://doi.org/10.1112/jlms.70116\">10.1112/jlms.70116</a>."},"volume":111,"publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"oa_version":"Published Version","day":"01","acknowledgement":"We would like to thank Rajko Nenadov and Miloš Trujić for helpful comments and discussions, as well as the anonymous referees for their very useful feedback, which improved the paper considerably. This research was supported by SNSF Project 217926. Part of this research was conducted while Nemanja Draganić was at ETH Zürich, Switzerland, and partially supported by SNSF Grant 200021_196965. This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement Number: 101034413. Part of this research was conducted while Kalina Petrova was at the Department of Computer Science, ETH Zürich, Switzerland, supported by SNSF Grant CRSII5 173721.","OA_type":"hybrid","title":"Size‐Ramsey numbers of graphs with maximum degree three","file":[{"file_size":625974,"relation":"main_file","access_level":"open_access","date_created":"2025-03-20T09:46:20Z","date_updated":"2025-03-20T09:46:20Z","creator":"dernst","file_name":"2025_JournLondonMath_Draganic.pdf","file_id":"19427","checksum":"d8e0a03286a44c4f672709e3c829206e","content_type":"application/pdf","success":1}],"abstract":[{"lang":"eng","text":"The size-Ramsey number r^(H) of a graph H is the smallest number of edges a (host) graph G can have, such that for any red/blue colouring of G, there is a monochromatic copy of H in G. Recently, Conlon, Nenadov and Trujić showed that if H is a graph on n vertices and maximum degree three, then r^(H)=O(n8/5), improving upon the upper bound of n5/3+o(1) by Kohayakawa, Rödl, Schacht and Szemerédi. In this paper we show that r^(H)≤n3/2+o(1). While the previously used host graphs were vanilla binomial random graphs, we prove our result using a novel host graph construction. Our bound hits a natural barrier of the existing methods."}],"article_processing_charge":"No","status":"public","publisher":"Wiley","doi":"10.1112/jlms.70116","quality_controlled":"1","external_id":{"isi":["001450645400019"],"arxiv":["2207.05048"]},"intvolume":"       111","OA_place":"publisher","department":[{"_id":"MaKw"}],"date_created":"2025-03-19T09:03:37Z","date_updated":"2025-09-30T11:05:07Z","author":[{"first_name":"Nemanja","last_name":"Draganić","full_name":"Draganić, Nemanja"},{"full_name":"Petrova, Kalina H","id":"554ff4e4-f325-11ee-b0c4-a10dbd523381","last_name":"Petrova","first_name":"Kalina H"}],"ec_funded":1,"_id":"19418","issue":"3","article_number":"e70116","year":"2025","isi":1,"month":"03","scopus_import":"1","article_type":"original","project":[{"grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"arxiv":1,"publication":"Journal of the London Mathematical Society","has_accepted_license":"1","ddc":["510"],"type":"journal_article","date_published":"2025-03-01T00:00:00Z","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa":1,"fulldoi":"https://doi.org/10.1112/jlms.70116"},{"arxiv":1,"publication":"Journal of the London Mathematical Society","has_accepted_license":"1","date_published":"2025-04-01T00:00:00Z","publication_status":"published","type":"journal_article","ddc":["510"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1112/jlms.70101","oa":1,"issue":"4","_id":"19554","article_number":"e70101","year":"2025","article_type":"original","scopus_import":"1","isi":1,"month":"04","project":[{"name":"Randomness and structure in combinatorics","_id":"bd95085b-d553-11ed-ba76-e55d3349be45","grant_number":"101076777"}],"tmp":{"image":"/images/cc_by_nc.png","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","short":"CC BY-NC (4.0)"},"status":"public","publisher":"Wiley","intvolume":"       111","OA_place":"publisher","corr_author":"1","department":[{"_id":"MaKw"}],"doi":"10.1112/jlms.70101","quality_controlled":"1","external_id":{"arxiv":["2402.05851"],"isi":["001473087200024"]},"date_updated":"2025-09-30T11:35:55Z","date_created":"2025-04-13T22:01:19Z","author":[{"full_name":"Glasgow, Margalit","last_name":"Glasgow","first_name":"Margalit"},{"first_name":"Matthew Alan","last_name":"Kwan","full_name":"Kwan, Matthew Alan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","orcid":"0000-0002-4003-7567"},{"last_name":"Sah","full_name":"Sah, Ashwin","first_name":"Ashwin"},{"full_name":"Sawhney, Mehtaab","last_name":"Sawhney","first_name":"Mehtaab"}],"citation":{"short":"M. Glasgow, M.A. Kwan, A. Sah, M. Sawhney, Journal of the London Mathematical Society 111 (2025).","mla":"Glasgow, Margalit, et al. “A Central Limit Theorem for the Matching Number of a Sparse Random Graph.” <i>Journal of the London Mathematical Society</i>, vol. 111, no. 4, e70101, Wiley, 2025, doi:<a href=\"https://doi.org/10.1112/jlms.70101\">10.1112/jlms.70101</a>.","apa":"Glasgow, M., Kwan, M. A., Sah, A., &#38; Sawhney, M. (2025). A central limit theorem for the matching number of a sparse random graph. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.70101\">https://doi.org/10.1112/jlms.70101</a>","ama":"Glasgow M, Kwan MA, Sah A, Sawhney M. A central limit theorem for the matching number of a sparse random graph. <i>Journal of the London Mathematical Society</i>. 2025;111(4). doi:<a href=\"https://doi.org/10.1112/jlms.70101\">10.1112/jlms.70101</a>","ieee":"M. Glasgow, M. A. Kwan, A. Sah, and M. Sawhney, “A central limit theorem for the matching number of a sparse random graph,” <i>Journal of the London Mathematical Society</i>, vol. 111, no. 4. Wiley, 2025.","chicago":"Glasgow, Margalit, Matthew Alan Kwan, Ashwin Sah, and Mehtaab Sawhney. “A Central Limit Theorem for the Matching Number of a Sparse Random Graph.” <i>Journal of the London Mathematical Society</i>. Wiley, 2025. <a href=\"https://doi.org/10.1112/jlms.70101\">https://doi.org/10.1112/jlms.70101</a>.","ista":"Glasgow M, Kwan MA, Sah A, Sawhney M. 2025. A central limit theorem for the matching number of a sparse random graph. Journal of the London Mathematical Society. 111(4), e70101."},"volume":111,"file_date_updated":"2025-04-15T13:18:43Z","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"oa_version":"Published Version","day":"01","title":"A central limit theorem for the matching number of a sparse random graph","file":[{"file_id":"19564","checksum":"69ce9feaf64e776b99f3afd1041b1b11","content_type":"application/pdf","success":1,"file_size":392208,"relation":"main_file","access_level":"open_access","file_name":"2025_JourLondMathSoc_Glasgow.pdf","date_created":"2025-04-15T13:18:43Z","date_updated":"2025-04-15T13:18:43Z","creator":"dernst"}],"abstract":[{"text":"In 1981, Karp and Sipser proved a law of large numbers for the matching number of a sparse Erdős–Rényi random graph, in an influential paper pioneering the so-called differential equation method for analysis of random graph processes. Strengthening this classical result, and answering a question of Aronson, Frieze and Pittel, we prove a central limit theorem in the same setting: the fluctuations in the matching number of a sparse random graph are asymptotically Gaussian. Our new contribution is to prove this central limit theorem in the subcritical and critical regimes, according to a celebrated algorithmic phase transition first observed by Karp and Sipser. Indeed, in the supercritical regime, a central limit theorem has recently been proved in the PhD thesis of Kreačić, using a stochastic generalisation of the differential equation method (comparing the so-called Karp–Sipser process to a system of stochastic differential equations). Our proof builds on these methods, and introduces new techniques to handle certain degeneracies present in the subcritical and critical cases. Curiously, our new techniques lead to a non-constructive result: we are able to characterise the fluctuations of the matching number around its mean, despite these fluctuations being much smaller than the error terms in our best estimates of the mean. We also prove a central limit theorem for the rank of the adjacency matrix of a sparse random graph.","lang":"eng"}],"OA_type":"hybrid","acknowledgement":"We would like to thank Christina Goldschmidt and Eleonora Kreačić for insightful discussions and clarifications about their work in the thesis [26]. Matthew Kwan was supported by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Ashwin Sah and Mehtaab Sawhney were supported by NSF Graduate Research Fellowship Program DGE-2141064. Ashwin Sah was supported by the PD Soros Fellowship.\r\nOpen access funding provided by Institute of Science and Technology Austria/KEMÖ.","article_processing_charge":"Yes (via OA deal)"},{"status":"public","publisher":"London Mathematical Society","researchdata_availability":"not applicable","department":[{"_id":"JaMa"}],"OA_place":"publisher","intvolume":"       110","external_id":{"isi":["001351918100029"]},"quality_controlled":"1","doi":"10.1112/jlms.70003","ec_funded":1,"date_updated":"2026-10-02T12:17:50Z","date_created":"2024-11-03T23:01:44Z","author":[{"first_name":"Lorenzo","last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","orcid":"0000-0002-9881-6870"},{"first_name":"Ronan","last_name":"Herry","full_name":"Herry, Ronan"},{"full_name":"Kopfer, Eva","last_name":"Kopfer","first_name":"Eva"},{"first_name":"Karl Theodor","last_name":"Sturm","full_name":"Sturm, Karl Theodor"}],"volume":110,"citation":{"ista":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. 2024. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. Journal of the London Mathematical Society. 110(5), e70003.","ieee":"L. Dello Schiavo, R. Herry, E. Kopfer, and K. T. Sturm, “Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension,” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5. London Mathematical Society, 2024.","chicago":"Dello Schiavo, Lorenzo, Ronan Herry, Eva Kopfer, and Karl Theodor Sturm. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2024. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>.","ama":"Dello Schiavo L, Herry R, Kopfer E, Sturm KT. Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. 2024;110(5). doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>","apa":"Dello Schiavo, L., Herry, R., Kopfer, E., &#38; Sturm, K. T. (2024). Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.70003\">https://doi.org/10.1112/jlms.70003</a>","short":"L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).","mla":"Dello Schiavo, Lorenzo, et al. “Conformally Invariant Random Fields, Liouville Quantum Gravity Measures, and Random Paneitz Operators on Riemannian Manifolds of Even Dimension.” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 5, e70003, London Mathematical Society, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.70003\">10.1112/jlms.70003</a>."},"file_date_updated":"2024-11-04T08:54:26Z","language":[{"iso":"eng"}],"day":"01","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"oa_version":"Published Version","file":[{"success":1,"content_type":"application/pdf","file_id":"18497","checksum":"143816823b5f43bd3748da8e3e91cef5","creator":"dernst","date_created":"2024-11-04T08:54:26Z","date_updated":"2024-11-04T08:54:26Z","file_name":"2024_JourLondonMathSoc_Schiavo.pdf","access_level":"open_access","file_size":911476,"relation":"main_file"}],"abstract":[{"text":"For large classes of even-dimensional Riemannian manifolds (Formula presented.), we construct and analyze conformally invariant random fields. These centered Gaussian fields (Formula presented.), called co-polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: (Formula presented.). They share a fundamental quasi-invariance property under conformal transformations. In terms of the co-polyharmonic Gaussian field (Formula presented.), we define the Liouville Quantum Gravity measure, a random measure on (Formula presented.), heuristically given as (Formula presented.) and rigorously obtained as almost sure weak limit of the right-hand side with (Formula presented.) replaced by suitable regular approximations (Formula presented.). In terms on the Liouville Quantum Gravity measure, we define the Liouville Brownian motion on (Formula presented.) and the random GJMS operators. Finally, we present an approach to a conformal field theory in arbitrary even dimension with an ansatz based on Branson's (Formula presented.) -curvature: we give a rigorous meaning to the Polyakov–Liouville measure (Formula presented.) and we derive the corresponding conformal anomaly. The set of admissible manifolds is conformally invariant. It includes all compact 2-dimensional Riemannian manifolds, all compact non-negatively curved Einstein manifolds of even dimension, and large classes of compact hyperbolic manifolds of even dimension. However, not every compact even-dimensional Riemannian manifold is admissible. Our results concerning the logarithmic divergence of the kernel (Formula presented.) rely on new sharp estimates for heat kernels and higher order Green kernels on arbitrary closed manifolds. ","lang":"eng"}],"title":"Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension","supplementarymaterial":"no","acknowledgement":"The authors are grateful to Masha Gordina for helpful references, and to Nathanaël Berestycki, Baptiste Cerclé, and Ewain Gwynne for valuable comments on the first circulated version of this paper. They also would like to thank Sebastian Andres, Peter Friz, and Yizheng Yuan for pointing out an erroneous formulation in the previous version of Theorem 5.7. Moreover, KTS would liketo express his thanks to Sebastian Andres, Matthias Erbar, Martin Huesmann, and Jan Mass for stimulating discussions on previous attempts to this project. LDS gratefully acknowledges financial support from the European Research Council (grant agreement No 716117, awarded to J. Maas), from the Austrian Science Fund (FWF) project 10.55776/ESP208, and from the Austrian Science Fund (FWF) project 10.55776/F65.RH, EK, and KTS gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the project “Random Riemannian Geometry” within the SPP 2265 “Random Geomet-ric Systems,” through the Hausdorff Center for Mathematics (project ID 390685813), and through project B03 within the CRC 1060 (project ID 211504053). RH and KTS also gratefully acknowledge financial support from the European Research Council through the ERC AdG “RicciBounds”(grant agreement 694405).Data sharing not applicable to this article as no datasets were generated or analyzed during the current study. Open access funding enabled and organized by Projekt DEAL.","OA_type":"hybrid","das_tickbox":"0","article_processing_charge":"Yes (via OA deal)","publication":"Journal of the London Mathematical Society","has_accepted_license":"1","publication_status":"published","date_published":"2024-11-01T00:00:00Z","type":"journal_article","ddc":["510"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1112/jlms.70003","oa":1,"issue":"5","_id":"18490","year":"2024","article_number":"e70003","scopus_import":"1","article_type":"original","isi":1,"month":"11","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces"},{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}]},{"citation":{"ista":"Anastos M, Cooley O, Kang M, Kwan MA. 2024. Partitioning problems via random processes. Journal of the London Mathematical Society. 110(6), e70010.","mla":"Anastos, Michael, et al. “Partitioning Problems via Random Processes.” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 6, e70010, Wiley, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.70010\">10.1112/jlms.70010</a>.","short":"M. Anastos, O. Cooley, M. Kang, M.A. Kwan, Journal of the London Mathematical Society 110 (2024).","apa":"Anastos, M., Cooley, O., Kang, M., &#38; Kwan, M. A. (2024). Partitioning problems via random processes. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.70010\">https://doi.org/10.1112/jlms.70010</a>","ama":"Anastos M, Cooley O, Kang M, Kwan MA. Partitioning problems via random processes. <i>Journal of the London Mathematical Society</i>. 2024;110(6). doi:<a href=\"https://doi.org/10.1112/jlms.70010\">10.1112/jlms.70010</a>","ieee":"M. Anastos, O. Cooley, M. Kang, and M. A. Kwan, “Partitioning problems via random processes,” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 6. Wiley, 2024.","chicago":"Anastos, Michael, Oliver Cooley, Mihyun Kang, and Matthew Alan Kwan. “Partitioning Problems via Random Processes.” <i>Journal of the London Mathematical Society</i>. Wiley, 2024. <a href=\"https://doi.org/10.1112/jlms.70010\">https://doi.org/10.1112/jlms.70010</a>."},"volume":110,"language":[{"iso":"eng"}],"file_date_updated":"2024-12-10T08:10:39Z","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"oa_version":"Published Version","day":"01","title":"Partitioning problems via random processes","abstract":[{"text":"There are a number of well-known problems and conjectures about partitioning graphs to satisfy local constraints. For example, the majority colouring conjecture of Kreutzer, Oum, Seymour, van der Zypen and Wood states that every directed graph has a 3-colouring such that for every vertex v, at most half of the out-neighbours of v have the same colour as \r\n. As another example, the internal partition conjecture, due to DeVos and to Ban and Linial, states that for every d, all but finitely many d-regular graphs have a partition into two non-empty parts such that for every vertex v, at least half of the neighbours of v lie in the same part as v. We prove several results in this spirit: in particular, two of our results are that the majority colouring conjecture holds for Erdős–Rényi random directed graphs (of any density), and that the internal partition conjecture holds if we permit a tiny number of ‘exceptional vertices’. Our proofs involve a variety of techniques, including several different methods to analyse random recolouring processes. One highlight is a personality-changing scheme: we ‘forget’ certain information based on the state of a Markov chain, giving us more independence to work with.","lang":"eng"}],"file":[{"file_size":539891,"relation":"main_file","access_level":"open_access","date_created":"2024-12-10T08:10:39Z","creator":"dernst","file_name":"2024_JournLondonMathSoc_Anastos.pdf","date_updated":"2024-12-10T08:10:39Z","checksum":"98e301e0565d75e3fb50e10e982a5018","file_id":"18639","content_type":"application/pdf","success":1}],"OA_type":"hybrid","acknowledgement":"We are grateful to the anonymous referees for their thorough reading of the paper, and for many suggestions which have improved the exposition throughout.\r\n\r\nMichael Anastos was supported by the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 101034413. Matthew Kwan was supported by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777, also funded by the European Union image. Mihyun Kang was supported in part by the Austrian Science Fund (FWF) [10.55776/I6502]. For the purpose of open access, the authors have applied a CC-BY public copyright licence to any Author Accepted Manuscript version arising from this submission.","supplementarymaterial":"yes","das_tickbox":"0","article_processing_charge":"Yes (via OA deal)","status":"public","researchdata_availability":"no","publisher":"Wiley","OA_place":"publisher","intvolume":"       110","corr_author":"1","department":[{"_id":"MaKw"}],"doi":"10.1112/jlms.70010","quality_controlled":"1","external_id":{"arxiv":["2307.06453"],"isi":["001374738100001"]},"author":[{"first_name":"Michael","id":"0b2a4358-bb35-11ec-b7b9-e3279b593dbb","full_name":"Anastos, Michael","last_name":"Anastos"},{"first_name":"Oliver","last_name":"Cooley","full_name":"Cooley, Oliver","id":"43f4ddd0-a46b-11ec-8df6-ef3703bd721d"},{"last_name":"Kang","full_name":"Kang, Mihyun","first_name":"Mihyun"},{"orcid":"0000-0002-4003-7567","full_name":"Kwan, Matthew Alan","last_name":"Kwan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","first_name":"Matthew Alan"}],"ec_funded":1,"date_updated":"2026-10-16T10:12:41Z","date_created":"2024-11-24T23:01:48Z","issue":"6","_id":"18583","article_number":"e70010","year":"2024","scopus_import":"1","article_type":"original","isi":1,"month":"12","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413"},{"grant_number":"101076777","_id":"bd95085b-d553-11ed-ba76-e55d3349be45","name":"Randomness and structure in combinatorics"}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"arxiv":1,"has_accepted_license":"1","publication":"Journal of the London Mathematical Society","date_published":"2024-12-01T00:00:00Z","publication_status":"published","type":"journal_article","ddc":["510"],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1112/jlms.70010","oa":1},{"department":[{"_id":"TiBr"}],"corr_author":"1","intvolume":"       110","external_id":{"arxiv":["2108.03396"],"isi":["001310529600001"]},"doi":"10.1112/jlms.12975","quality_controlled":"1","date_created":"2024-08-20T08:41:40Z","date_updated":"2026-10-21T11:01:20Z","ec_funded":1,"author":[{"orcid":"0000-0002-0704-7026","last_name":"Wang","full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","first_name":"Victor"}],"status":"public","publisher":"Wiley","researchdata_availability":"no","abstract":[{"text":"Let  F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F.","lang":"eng"}],"file":[{"content_type":"application/pdf","success":1,"file_id":"17454","checksum":"90437e19f57520b4d66ca62408f6c81e","access_level":"open_access","creator":"dernst","file_name":"2024_JourLondonMathSoc_Wang.pdf","date_updated":"2024-08-21T06:36:40Z","date_created":"2024-08-21T06:36:40Z","file_size":438751,"relation":"main_file"}],"title":"Special cubic zeros and the dual variety","supplementarymaterial":"no","acknowledgement":"This paper is an important component of the thesis work described in [25]; many of my acknowledgements there apply here as well. I also thank my advisor, Peter Sarnak, for many helpful suggestions and questions on the exposition, references, assumptions, and scope of (various drafts of) the present work. I am also grateful to Trevor Wooley for providing some helpful general comments on special subvarieties and the reference [24]. I thank Tim Browning for inspiring part of the current title of the paper. Finally, thanks are due to the referee for providing many helpful suggestions. This work was partially supported by NSF grant DMS-1802211, and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant AgreementNo. 101034413.","das_tickbox":"0","article_processing_charge":"Yes (via OA deal)","volume":110,"citation":{"ista":"Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975.","short":"V. Wang, Journal of the London Mathematical Society 110 (2024).","mla":"Wang, Victor. “Special Cubic Zeros and the Dual Variety.” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 3, e12975, Wiley, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.12975\">10.1112/jlms.12975</a>.","apa":"Wang, V. (2024). Special cubic zeros and the dual variety. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12975\">https://doi.org/10.1112/jlms.12975</a>","ama":"Wang V. Special cubic zeros and the dual variety. <i>Journal of the London Mathematical Society</i>. 2024;110(3). doi:<a href=\"https://doi.org/10.1112/jlms.12975\">10.1112/jlms.12975</a>","chicago":"Wang, Victor. “Special Cubic Zeros and the Dual Variety.” <i>Journal of the London Mathematical Society</i>. Wiley, 2024. <a href=\"https://doi.org/10.1112/jlms.12975\">https://doi.org/10.1112/jlms.12975</a>.","ieee":"V. Wang, “Special cubic zeros and the dual variety,” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 3. Wiley, 2024."},"language":[{"iso":"eng"}],"file_date_updated":"2024-08-21T06:36:40Z","day":"14","oa_version":"Published Version","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1112/jlms.12975","oa":1,"publication":"Journal of the London Mathematical Society","has_accepted_license":"1","arxiv":1,"publication_status":"published","date_published":"2024-08-14T00:00:00Z","type":"journal_article","ddc":["512"],"article_type":"original","scopus_import":"1","isi":1,"month":"08","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"project":[{"call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413"}],"issue":"3","_id":"17447","year":"2024","article_number":"e12975"},{"article_processing_charge":"Yes (via OA deal)","das_tickbox":"0","related_material":{"record":[{"status":"public","id":"18132","relation":"dissertation_contains"}]},"acknowledgement":"The author would like to thank his supervisor Tim Browning for suggesting this project and many helpful conversations and Pankaj Vishe for useful comments. Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise in exponential sums and geometry. While working on this paper, the author was supported by FWF grant (DOI 10.55776/P36278).","supplementarymaterial":"no","title":"Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)","file":[{"checksum":"11ebf690363151026ce81f91f2220855","file_id":"18181","success":1,"content_type":"application/pdf","relation":"main_file","file_size":579601,"date_updated":"2024-10-07T08:51:01Z","creator":"dernst","file_name":"2024_JLondonMathSoc_Glas.pdf","date_created":"2024-10-07T08:51:01Z","access_level":"open_access"}],"abstract":[{"lang":"eng","text":"Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation."}],"publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"oa_version":"Published Version","day":"01","file_date_updated":"2024-10-07T08:51:01Z","language":[{"iso":"eng"}],"citation":{"apa":"Glas, J. (2024). Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.12991\">https://doi.org/10.1112/jlms.12991</a>","short":"J. Glas, Journal of the London Mathematical Society 110 (2024).","mla":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:<a href=\"https://doi.org/10.1112/jlms.12991\">10.1112/jlms.12991</a>.","chicago":"Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2024. <a href=\"https://doi.org/10.1112/jlms.12991\">https://doi.org/10.1112/jlms.12991</a>.","ieee":"J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t),” <i>Journal of the London Mathematical Society</i>, vol. 110, no. 4. London Mathematical Society, 2024.","ama":"Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). <i>Journal of the London Mathematical Society</i>. 2024;110(4). doi:<a href=\"https://doi.org/10.1112/jlms.12991\">10.1112/jlms.12991</a>","ista":"Glas J. 2024. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4), e12991."},"volume":110,"date_created":"2024-10-06T22:01:11Z","date_updated":"2026-10-21T11:02:12Z","author":[{"full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","last_name":"Glas","first_name":"Jakob"}],"quality_controlled":"1","doi":"10.1112/jlms.12991","external_id":{"arxiv":["2306.02718"]},"intvolume":"       110","department":[{"_id":"TiBr"}],"corr_author":"1","researchdata_availability":"no","publisher":"London Mathematical Society","status":"public","project":[{"grant_number":"P36278","_id":"bd8a4fdc-d553-11ed-ba76-80a0167441a3","name":"Rational curves via function field analytic number theory"}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"month":"10","scopus_import":"1","article_type":"original","article_number":"e12991","year":"2024","_id":"18173","issue":"4","oa":1,"fulldoi":"https://doi.org/10.1112/jlms.12991","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ddc":["510"],"type":"journal_article","date_published":"2024-10-01T00:00:00Z","publication_status":"published","arxiv":1,"has_accepted_license":"1","publication":"Journal of the London Mathematical Society"},{"fulldoi":"https://doi.org/10.1112/jlms.12676","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"3865-3894","type":"journal_article","publication_status":"published","date_published":"2022-09-18T00:00:00Z","publication":"Journal of the London Mathematical Society","arxiv":1,"project":[{"grant_number":"846294","name":"Geometric study of Wasserstein spaces and free probability","_id":"26A455A6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"keyword":["General Mathematics"],"month":"09","isi":1,"scopus_import":"1","article_type":"original","year":"2022","_id":"12214","issue":"4","date_updated":"2025-04-14T07:50:40Z","author":[{"full_name":"Gehér, György Pál","last_name":"Gehér","first_name":"György Pál"},{"full_name":"Titkos, Tamás","last_name":"Titkos","first_name":"Tamás"},{"orcid":"0000-0003-1109-5511","last_name":"Virosztek","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","full_name":"Virosztek, Daniel","first_name":"Daniel"}],"date_created":"2023-01-16T09:46:13Z","ec_funded":1,"external_id":{"arxiv":["2102.02037"],"isi":["000854878500001"]},"doi":"10.1112/jlms.12676","quality_controlled":"1","department":[{"_id":"LaEr"}],"intvolume":"       106","publisher":"Wiley","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2102.02037","open_access":"1"}],"article_processing_charge":"No","acknowledgement":"Geher was supported by the Leverhulme Trust Early Career Fellowship (ECF-2018-125), and also by the Hungarian National Research, Development and Innovation Office - NKFIH (grant no. K115383 and K134944).\r\nTitkos was supported by the Hungarian National Research, Development and Innovation Office - NKFIH (grant no. PD128374, grant no. K115383 and K134944), by the J´anos Bolyai Research Scholarship of the Hungarian Academy of Sciences, and by the UNKP-20-5-BGE-1 New National Excellence Program of the ´Ministry of Innovation and Technology.\r\nVirosztek was supported by the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 846294, by the Momentum program of the Hungarian Academy of Sciences under grant agreement no. LP2021-15/2021, and partially supported by the Hungarian National Research, Development and Innovation Office - NKFIH (grants no. K124152 and no. KH129601). ","abstract":[{"lang":"eng","text":"Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein space W2(Rn), we describe the isometry group Isom(Wp(E)) for all parameters 0 < p < ∞ and for all separable real Hilbert spaces E. In particular, we show that Wp(X) is isometrically rigid for all Polish space X whenever 0 < p < 1. This is a consequence of our more general result: we prove that W1(X) is isometrically rigid if X is a complete separable metric space that satisfies the strict triangle inequality. Furthermore, we show that this latter rigidity result does not generalise to parameters p > 1, by solving Kloeckner’s problem affirmatively on the existence of mass-splitting isometries. "}],"title":"The isometry group of Wasserstein spaces: The Hilbertian case","day":"18","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"oa_version":"Preprint","language":[{"iso":"eng"}],"volume":106,"citation":{"mla":"Gehér, György Pál, et al. “The Isometry Group of Wasserstein Spaces: The Hilbertian Case.” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4, Wiley, 2022, pp. 3865–94, doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>.","short":"G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.","apa":"Gehér, G. P., Titkos, T., &#38; Virosztek, D. (2022). The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>","ama":"Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces: The Hilbertian case. <i>Journal of the London Mathematical Society</i>. 2022;106(4):3865-3894. doi:<a href=\"https://doi.org/10.1112/jlms.12676\">10.1112/jlms.12676</a>","chicago":"Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group of Wasserstein Spaces: The Hilbertian Case.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12676\">https://doi.org/10.1112/jlms.12676</a>.","ieee":"G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein spaces: The Hilbertian case,” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 4. Wiley, pp. 3865–3894, 2022.","ista":"Gehér GP, Titkos T, Virosztek D. 2022. The isometry group of Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical Society. 106(4), 3865–3894."}},{"status":"public","publisher":"London Mathematical Society","external_id":{"isi":["000751600600001"],"arxiv":["1712.10260"]},"doi":"10.1112/jlms.12515","quality_controlled":"1","corr_author":"1","department":[{"_id":"TaHa"}],"intvolume":"       105","date_updated":"2024-10-09T21:01:37Z","author":[{"first_name":"Nuroemuer Huelya","id":"3c26b22e-c843-11eb-aa56-d38ffa0bdd08","full_name":"Arguez, Nuroemuer Huelya","last_name":"Arguez"}],"date_created":"2022-02-20T23:01:33Z","file_date_updated":"2022-02-21T11:22:58Z","language":[{"iso":"eng"}],"volume":105,"citation":{"apa":"Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. London Mathematical Society. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>","short":"N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411.","mla":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1, London Mathematical Society, 2022, pp. 343–411, doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>.","chicago":"Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” <i>Journal of the London Mathematical Society</i>. London Mathematical Society, 2022. <a href=\"https://doi.org/10.1112/jlms.12515\">https://doi.org/10.1112/jlms.12515</a>.","ieee":"N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,” <i>Journal of the London Mathematical Society</i>, vol. 105, no. 1. London Mathematical Society, pp. 343–411, 2022.","ama":"Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals. <i>Journal of the London Mathematical Society</i>. 2022;105(1):343-411. doi:<a href=\"https://doi.org/10.1112/jlms.12515\">10.1112/jlms.12515</a>","ista":"Arguez NH. 2022. Mirror symmetry for the Tate curve via tropical and log corals. Journal of the London Mathematical Society. 105(1), 343–411."},"day":"05","oa_version":"Published Version","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"acknowledgement":"This paper is based on my PhD thesis, which would not be possible without the support of my advisor Bernd Siebert. I also thank Dan Abramovich, Mohammed Abouzaid, Mark Gross, Tom Coates and Dimitri Zvonkine for many useful conversations. Finally, I thank the anonymous referees for their many insightful comments and valuable suggestions which have resulted in major improvements to this article. This project has received funding from the EuropeanResearch Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement Number: 682603), and from Fondation Mathématique Jacques Hadamard. ","file":[{"success":1,"content_type":"application/pdf","checksum":"8bd0fd9694be894a191857ddf27678f0","file_id":"10783","date_created":"2022-02-21T11:22:58Z","date_updated":"2022-02-21T11:22:58Z","creator":"dernst","file_name":"2022_JournLondonMathSociety_Arguez.pdf","access_level":"open_access","relation":"main_file","file_size":936873}],"abstract":[{"text":"We introduce tropical corals, balanced trees in a half-space, and show that they correspond to holomorphic polygons capturing the product rule in Lagrangian Floer theory for the elliptic curve. We then prove a correspondence theorem equating counts of tropical corals to punctured log Gromov–Witten invariants of the Tate curve. This implies that the homogeneous coordinate ring of the mirror to the Tate curve is isomorphic to the degree-zero part of symplectic cohomology, confirming a prediction of homological mirror symmetry.","lang":"eng"}],"title":"Mirror symmetry for the Tate curve via tropical and log corals","article_processing_charge":"Yes (via OA deal)","publication":"Journal of the London Mathematical Society","has_accepted_license":"1","arxiv":1,"page":"343-411","type":"journal_article","ddc":["510"],"publication_status":"published","date_published":"2022-02-05T00:00:00Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"fulldoi":"https://doi.org/10.1112/jlms.12515","_id":"10772","issue":"1","year":"2022","month":"02","isi":1,"article_type":"original","scopus_import":"1","tmp":{"short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png"}},{"issue":"3","_id":"22160","year":"2022","scopus_import":"1","article_type":"original","month":"10","publication":"Journal of the London Mathematical Society","arxiv":1,"publication_status":"published","date_published":"2022-10-01T00:00:00Z","page":"2379-2402","type":"journal_article","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"fulldoi":"https://doi.org/10.1112/jlms.12637","volume":106,"citation":{"ama":"Sauermann L, Wigderson Y. Polynomials that vanish to high order on most of the hypercube. <i>Journal of the London Mathematical Society</i>. 2022;106(3):2379-2402. doi:<a href=\"https://doi.org/10.1112/jlms.12637\">10.1112/jlms.12637</a>","ieee":"L. Sauermann and Y. Wigderson, “Polynomials that vanish to high order on most of the hypercube,” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 3. Wiley, pp. 2379–2402, 2022.","chicago":"Sauermann, Lisa, and Yuval Wigderson. “Polynomials That Vanish to High Order on Most of the Hypercube.” <i>Journal of the London Mathematical Society</i>. Wiley, 2022. <a href=\"https://doi.org/10.1112/jlms.12637\">https://doi.org/10.1112/jlms.12637</a>.","mla":"Sauermann, Lisa, and Yuval Wigderson. “Polynomials That Vanish to High Order on Most of the Hypercube.” <i>Journal of the London Mathematical Society</i>, vol. 106, no. 3, Wiley, 2022, pp. 2379–402, doi:<a href=\"https://doi.org/10.1112/jlms.12637\">10.1112/jlms.12637</a>.","short":"L. Sauermann, Y. Wigderson, Journal of the London Mathematical Society 106 (2022) 2379–2402.","apa":"Sauermann, L., &#38; Wigderson, Y. (2022). Polynomials that vanish to high order on most of the hypercube. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12637\">https://doi.org/10.1112/jlms.12637</a>","ista":"Sauermann L, Wigderson Y. 2022. Polynomials that vanish to high order on most of the hypercube. Journal of the London Mathematical Society. 106(3), 2379–2402."},"language":[{"iso":"eng"}],"day":"01","oa_version":"Preprint","publication_identifier":{"issn":["0024-6107"],"eissn":["1469-7750"]},"abstract":[{"text":"Motivated by higher vanishing multiplicity generalizations of Alon's Combinatorial Nullstellensatz and its applications, we study the following problem: for fixed and large with respect to , what is the minimum possible degree of a polynomial with such that has zeroes of multiplicity at least at all points in ? For , a classical theorem of Alon and Füredi states that the minimum possible degree of such a polynomial equals . In this paper, we solve the problem for all , proving that the answer is . As an application, we improve a result of Clifton and Huang on configurations of hyperplanes in such that each point in is covered by at least hyperplanes, but the point is uncovered. Surprisingly, the proof of our result involves Catalan numbers and arguments from enumerative combinatorics.","lang":"eng"}],"title":"Polynomials that vanish to high order on most of the hypercube","OA_type":"green","article_processing_charge":"No","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2010.00077","open_access":"1"}],"status":"public","publisher":"Wiley","OA_place":"repository","intvolume":"       106","external_id":{"arxiv":["2010.00077"]},"doi":"10.1112/jlms.12637","quality_controlled":"1","date_created":"2026-06-29T10:51:52Z","author":[{"last_name":"Sauermann","full_name":"Sauermann, Lisa","first_name":"Lisa"},{"full_name":"Wigderson, Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","last_name":"Wigderson","first_name":"Yuval"}],"date_updated":"2026-07-08T10:37:38Z"},{"issue":"3","_id":"9586","year":"2019","article_type":"original","scopus_import":"1","month":"05","arxiv":1,"publication":"Journal of the London Mathematical Society","date_published":"2019-05-03T00:00:00Z","publication_status":"published","type":"journal_article","page":"757-777","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","extern":"1","fulldoi":"https://doi.org/10.1112/jlms.12192","oa":1,"citation":{"ama":"Kwan MA, Sudakov B, Tran T. Anticoncentration for subgraph statistics. <i>Journal of the London Mathematical Society</i>. 2019;99(3):757-777. doi:<a href=\"https://doi.org/10.1112/jlms.12192\">10.1112/jlms.12192</a>","ieee":"M. A. Kwan, B. Sudakov, and T. Tran, “Anticoncentration for subgraph statistics,” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3. Wiley, pp. 757–777, 2019.","chicago":"Kwan, Matthew Alan, Benny Sudakov, and Tuan Tran. “Anticoncentration for Subgraph Statistics.” <i>Journal of the London Mathematical Society</i>. Wiley, 2019. <a href=\"https://doi.org/10.1112/jlms.12192\">https://doi.org/10.1112/jlms.12192</a>.","short":"M.A. Kwan, B. Sudakov, T. Tran, Journal of the London Mathematical Society 99 (2019) 757–777.","mla":"Kwan, Matthew Alan, et al. “Anticoncentration for Subgraph Statistics.” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3, Wiley, 2019, pp. 757–77, doi:<a href=\"https://doi.org/10.1112/jlms.12192\">10.1112/jlms.12192</a>.","apa":"Kwan, M. A., Sudakov, B., &#38; Tran, T. (2019). Anticoncentration for subgraph statistics. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12192\">https://doi.org/10.1112/jlms.12192</a>","ista":"Kwan MA, Sudakov B, Tran T. 2019. Anticoncentration for subgraph statistics. Journal of the London Mathematical Society. 99(3), 757–777."},"volume":99,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"oa_version":"Preprint","day":"03","title":"Anticoncentration for subgraph statistics","abstract":[{"lang":"eng","text":"Consider integers  𝑘,ℓ  such that  0⩽ℓ⩽(𝑘2) . Given a large graph  𝐺 , what is the fraction of  𝑘 -vertex subsets of  𝐺  which span exactly  ℓ  edges? When  𝐺  is empty or complete, and  ℓ  is zero or  (𝑘2) , this fraction can be exactly 1. On the other hand, if  ℓ  is far from these extreme values, one might expect that this fraction is substantially smaller than 1. This was recently proved by Alon, Hefetz, Krivelevich, and Tyomkyn who initiated the systematic study of this question and proposed several natural conjectures.\r\nLet  ℓ∗=min{ℓ,(𝑘2)−ℓ} . Our main result is that for any  𝑘  and  ℓ , the fraction of  𝑘 -vertex subsets that span  ℓ  edges is at most  log𝑂(1)(ℓ∗/𝑘)√ 𝑘/ℓ∗, which is best-possible up to the logarithmic factor. This improves on multiple results of Alon, Hefetz, Krivelevich, and Tyomkyn, and resolves one of their conjectures. In addition, we also make some first steps towards some analogous questions for hypergraphs.\r\nOur proofs involve some Ramsey-type arguments, and a number of different probabilistic tools, such as polynomial anticoncentration inequalities, hypercontractivity, and a coupling trick for random variables defined on a ‘slice’ of the Boolean hypercube."}],"article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1807.05202"}],"status":"public","publisher":"Wiley","intvolume":"        99","quality_controlled":"1","doi":"10.1112/jlms.12192","external_id":{"arxiv":["1807.05202"]},"author":[{"full_name":"Kwan, Matthew Alan","last_name":"Kwan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","first_name":"Matthew Alan","orcid":"0000-0002-4003-7567"},{"full_name":"Sudakov, Benny","last_name":"Sudakov","first_name":"Benny"},{"first_name":"Tuan","last_name":"Tran","full_name":"Tran, Tuan"}],"date_updated":"2023-02-23T14:01:53Z","date_created":"2021-06-22T09:46:03Z"},{"article_type":"original","scopus_import":"1","month":"05","issue":"1","_id":"261","year":"2016","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","extern":"1","fulldoi":"https://doi.org/10.1112/jlms/jdw025","oa":1,"arxiv":1,"publication":"Journal of the London Mathematical Society","date_published":"2016-05-24T00:00:00Z","publication_status":"published","type":"journal_article","page":"61 - 84","title":"Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1","abstract":[{"lang":"eng","text":"Let G = SL(2, R) ⋉R2 and Γ = SL(2, Z) ⋉Z2. Building on recent work of Strömbergsson, we prove a rate of equidistribution for the orbits of a certain one-dimensional unipotent flow of Γ\\G, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of √n mod 1."}],"acknowledgement":"The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007–2013)/ERC Grant Agreements 291147 and 306457.","OA_type":"green","article_processing_charge":"No","citation":{"ama":"Browning TD, Vinogradov I. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. <i>Journal of the London Mathematical Society</i>. 2016;94(1):61-84. doi:<a href=\"https://doi.org/10.1112/jlms/jdw025\">10.1112/jlms/jdw025</a>","ieee":"T. D. Browning and I. Vinogradov, “Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1,” <i>Journal of the London Mathematical Society</i>, vol. 94, no. 1. Wiley, pp. 61–84, 2016.","chicago":"Browning, Timothy D, and Ilya Vinogradov. “Effective Ratner Theorem for SL (2, R) ⋉R2 and Gaps in √n modulo 1.” <i>Journal of the London Mathematical Society</i>. Wiley, 2016. <a href=\"https://doi.org/10.1112/jlms/jdw025\">https://doi.org/10.1112/jlms/jdw025</a>.","mla":"Browning, Timothy D., and Ilya Vinogradov. “Effective Ratner Theorem for SL (2, R) ⋉R2 and Gaps in √n modulo 1.” <i>Journal of the London Mathematical Society</i>, vol. 94, no. 1, Wiley, 2016, pp. 61–84, doi:<a href=\"https://doi.org/10.1112/jlms/jdw025\">10.1112/jlms/jdw025</a>.","short":"T.D. Browning, I. Vinogradov, Journal of the London Mathematical Society 94 (2016) 61–84.","apa":"Browning, T. D., &#38; Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms/jdw025\">https://doi.org/10.1112/jlms/jdw025</a>","ista":"Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84."},"volume":94,"language":[{"iso":"eng"}],"oa_version":"Preprint","publication_identifier":{"eissn":["1469-7750"],"issn":["0024-6107"]},"day":"24","intvolume":"        94","OA_place":"repository","quality_controlled":"1","doi":"10.1112/jlms/jdw025","external_id":{"arxiv":["1311.6387"]},"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","first_name":"Timothy D","orcid":"0000-0002-8314-0177"},{"last_name":"Vinogradov","full_name":"Vinogradov, Ilya","first_name":"Ilya"}],"date_created":"2018-12-11T11:45:29Z","date_updated":"2026-05-20T06:57:42Z","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.1311.6387"}],"publist_id":"7641","status":"public","publisher":"Wiley"}]