--- _id: '21971' abstract: - lang: eng text: "A Rust library for analyzing dendritic structures using quadric matrices. This project provides efficient tools for representing dendritic trees, computing quadric error metrics, and visualizing eigenvalue distributions on hexagonal plots.\r\n\r\nThis library implements quadric-based geometric analysis of dendritic structures, commonly found in neuroscience applications. Key features include:\r\n\r\nTree data structures: Hierarchical vertex and edge representations for dendritic trees\r\nQuadric matrices: Computation of quadric error metrics for edges and vertices\r\nVisualisation: Hexagonal plot generation using NormPolar transformations\r\nInteractive tools: Desktop application with plotting capabilities" author: - first_name: Yossi full_name: Bleile, Yossi id: 920a7385-7995-11ef-9bfd-8c434cd8f3c2 last_name: Bleile orcid: 0000-0002-4861-9174 - first_name: Emanuele full_name: Cortinovis, Emanuele last_name: Cortinovis citation: ama: Bokor Bleile Y, Cortinovis E. Quadrix. 2026. doi:10.15479/AT-ISTA-21971 apa: Bokor Bleile, Y., & Cortinovis, E. (2026). Quadrix. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21971 chicago: Bokor Bleile, Yossi, and Emanuele Cortinovis. “Quadrix.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21971. ieee: Y. Bokor Bleile and E. Cortinovis, “Quadrix.” Institute of Science and Technology Austria, 2026. ista: Bokor Bleile Y, Cortinovis E. 2026. Quadrix, Institute of Science and Technology Austria, 10.15479/AT-ISTA-21971. mla: Bokor Bleile, Yossi, and Emanuele Cortinovis. Quadrix. Institute of Science and Technology Austria, 2026, doi:10.15479/AT-ISTA-21971. short: Y. Bokor Bleile, E. Cortinovis, (2026). corr_author: '1' date_created: 2026-06-09T19:19:13Z date_published: 2026-06-15T00:00:00Z date_updated: 2026-06-15T23:00:03Z day: '15' department: - _id: HeEd doi: 10.15479/AT-ISTA-21971 file: - access_level: open_access checksum: 48f633b6767c4b15dd6220ca2b4dc175 content_type: application/octet-stream creator: ybleile date_created: 2026-06-09T19:16:02Z date_updated: 2026-06-09T19:16:02Z file_id: '21974' file_name: LICENSE file_size: 1081 relation: main_file success: 1 - access_level: open_access checksum: de25d0b224acbde3d38f837fdd8f97d5 content_type: application/octet-stream creator: ybleile date_created: 2026-06-09T19:16:27Z date_updated: 2026-06-09T19:16:27Z file_id: '21975' file_name: quadrix-x64.exe file_size: 11308032 relation: main_file success: 1 - access_level: open_access checksum: a7b94a7380dc178e76ebdba9f1fa45c2 content_type: application/octet-stream creator: ybleile date_created: 2026-06-09T19:16:28Z date_updated: 2026-06-09T19:16:28Z file_id: '21976' file_name: quadrix-arm64.exe file_size: 10655744 relation: main_file success: 1 - access_level: open_access checksum: 2404aa8619a56668bd95032791ee1250 content_type: application/zip creator: ybleile date_created: 2026-06-09T19:16:27Z date_updated: 2026-06-09T19:16:27Z file_id: '21977' file_name: Quadrix Desktop.app.zip file_size: 2032 relation: main_file success: 1 - access_level: open_access checksum: 106930f81563c5c719a5f4030b5ca5ed content_type: application/octet-stream creator: ybleile date_created: 2026-06-09T19:16:40Z date_updated: 2026-06-09T19:16:40Z file_id: '21978' file_name: quadrix-arm64 file_size: 12187896 relation: main_file success: 1 - access_level: open_access checksum: 0e6ba129318446676f220087e7e6ff41 content_type: application/octet-stream creator: ybleile date_created: 2026-06-09T19:16:52Z date_updated: 2026-06-09T19:16:52Z file_id: '21979' file_name: quadrix-x64 file_size: 20587592 relation: main_file success: 1 - access_level: open_access checksum: f0b03385d17df049219465ab7403fe09 content_type: application/gzip creator: pub-gitlab-bot date_created: 2026-06-09T19:19:12Z date_updated: 2026-06-09T19:19:12Z file_id: '21972' file_name: Quadrix.zip file_size: 1914198 relation: main_file - access_level: open_access checksum: ede0bbb24bf41ab4009cf1b6a9009671 content_type: application/zip creator: ybleile date_created: 2026-06-10T19:09:38Z date_updated: 2026-06-10T19:09:38Z file_id: '21993' file_name: THIRD_PARTY_LICENSES.zip file_size: 37557 relation: supplementary_material - access_level: open_access checksum: f3c5fcc62c88e449ab5c660244df5aef content_type: text/markdown creator: ybleile date_created: 2026-06-15T08:13:32Z date_updated: 2026-06-15T08:13:32Z file_id: '22009' file_name: README.md file_size: 3839 relation: main_file success: 1 - access_level: open_access checksum: aa74828c3165aafcdee4ddcc9ecd37ac content_type: application/gzip creator: pub-gitlab-bot date_created: 2026-06-15T08:14:24Z date_updated: 2026-06-15T08:14:24Z file_id: '22008' file_name: Quadrix.zip file_size: 1912923 relation: main_file file_date_updated: 2026-06-15T08:14:24Z fulldoi: https://doi.org/10.15479/AT-ISTA-21971 has_accepted_license: '1' keyword: - quadratics - mathematics - dendrites - geometry - topology license: https://opensource.org/licenses/MIT month: '06' oa: 1 project: - _id: 9106a876-16d5-11f0-9cad-bbf11c9952f9 grant_number: ESP 9584724 name: Quantitative Unbiased Shape Analysis with Geometry & Topology publisher: Institute of Science and Technology Austria status: public title: Quadrix tmp: legal_code_url: https://opensource.org/licenses/MIT name: The MIT License short: MIT type: software user_id: 68b8ca59-c5b3-11ee-8790-cd641c68093d year: '2026' ... --- OA_place: repository OA_type: green _id: '22340' abstract: - lang: eng text: We show that Laplace isospectral deformations within a conformal class of generic Liouville metrics on the two-dimensional torus that are linear in the deformation parameter are necessarily trivial. Two of the main ingredients in our proof are a noncancellation result for the wave trace and an analysis of the second order variational formula for the energy functional associated to closed geodesics. Noncancellation allows us to detect parts of the length spectrum from the Laplace spectrum and conclude rational integrability for the deformed geodesic flow (Liouville metrics are folklorically conjectured to be the only Riemannian metrics with integrable geodesic flow on the torus). We then use the second variational formula to show how the preservation of a single rational torus is sufficient to conclude triviality of the deformation, assuming linearity. We also present some evidence that our hypothesis of linearity may indeed be necessary. article_processing_charge: No arxiv: 1 author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Vadim full_name: Kaloshin, Vadim id: FE553552-CDE8-11E9-B324-C0EBE5697425 last_name: Kaloshin orcid: 0000-0002-6051-2628 - first_name: Yunzhe full_name: Li, Yunzhe id: 41cb05d3-f128-11eb-9611-e4e2b3cfba31 last_name: Li - first_name: Amir full_name: Vig, Amir id: 49d58dd5-45f5-11ec-9f86-8ce1276989b9 last_name: Vig citation: ama: Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv. doi:10.48550/ARXIV.2511.10398 apa: Henheik, S. J., Kaloshin, V., Li, Y., & Vig, A. (n.d.). Spectral rigidity of Liouville tori. arXiv. https://doi.org/10.48550/ARXIV.2511.10398 chicago: Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral Rigidity of Liouville Tori.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2511.10398. ieee: S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville tori,” arXiv. . ista: Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv, 10.48550/ARXIV.2511.10398. mla: Henheik, Sven Joscha, et al. “Spectral Rigidity of Liouville Tori.” ArXiv, doi:10.48550/ARXIV.2511.10398. short: S.J. Henheik, V. Kaloshin, Y. Li, A. Vig, ArXiv (n.d.). corr_author: '1' date_created: 2026-07-14T12:51:50Z date_published: 2025-11-13T00:00:00Z date_updated: 2026-07-20T14:58:23Z day: '13' department: - _id: VaKa - _id: LaEr doi: 10.48550/ARXIV.2511.10398 external_id: arxiv: - '2511.10398' fulldoi: https://doi.org/10.48550/ARXIV.2511.10398 keyword: - Differential Geometry (math.DG) - Mathematical Physics (math-ph) - Dynamical Systems (math.DS) - Spectral Theory (math.SP) - 'FOS: Mathematics' - 'FOS: Mathematics' - 'FOS: Physical sciences' - 'FOS: Physical sciences' - 58J42 - 37J35 - 37J35 - 35P20 - 58J40 - 58J50 - 37D40 language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2511.10398 month: '11' oa: 1 oa_version: Preprint publication: arXiv publication_status: draft related_material: record: - id: '22255' relation: dissertation_contains status: public status: public title: Spectral rigidity of Liouville tori tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: preprint user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2025' ... --- OA_place: repository OA_type: green _id: '22341' abstract: - lang: eng text: We construct nontrivial deformations of the standard map which preserve the symplectic actions, respectively the Lyapunov exponents, of infinitely many periodic orbits accumulating to an invariant curve. The proof uses a resonant normal-form construction to obtain a sequence of periodic orbits accumulating on an invariant curve with a Liouville rotation number. Within these normal forms we capture the dependence of these periodic orbits on the resonant Fourier coefficients of the dynamics on the invariant curve and, using the contraction mapping principle, obtain a suitable deformation achieving the prescribed spectral data associated with this sequence of orbits. The result can be viewed as a symplectic twist-map analogue of a length spectral nonrigidity phenomenon for Riemannian manifolds and convex billiards, and it motivates the existence problem for similar 'partially length-isospectral' deformations of strictly convex billiard tables. acknowledgement: " The author would like to thank Vadim Kaloshin for initiating this project and for his guidance throughout its development. The author also\r\nthanks Abed Bounemoura, Bassam Fayad, Mathieu Helfter, Comlan Edmond Koudjinan, Illya Koval, Yi Pan, and Daniel Tsodikovich for many helpful discussions. The\r\nfinancial support of the ERC grant SPERIG #885707 is gratefully acknowledged." article_processing_charge: No arxiv: 1 author: - first_name: Yunzhe full_name: Li, Yunzhe id: 41cb05d3-f128-11eb-9611-e4e2b3cfba31 last_name: Li citation: ama: Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv. doi:10.48550/ARXIV.2512.03865 apa: Li, Y. (n.d.). Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv. https://doi.org/10.48550/ARXIV.2512.03865 chicago: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2512.03865. ieee: Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov exponents,” arXiv. . ista: Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv, 10.48550/ARXIV.2512.03865. mla: Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” ArXiv, doi:10.48550/ARXIV.2512.03865. short: Y. Li, ArXiv (n.d.). corr_author: '1' date_created: 2026-07-14T13:02:29Z date_published: 2025-12-03T00:00:00Z date_updated: 2026-07-20T14:58:23Z day: '03' department: - _id: VaKa doi: 10.48550/ARXIV.2512.03865 ec_funded: 1 external_id: arxiv: - '2512.03865' fulldoi: https://doi.org/10.48550/ARXIV.2512.03865 keyword: - Dynamical Systems (math.DS) - 'FOS: Mathematics' - 'FOS: Mathematics' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2512.03865 month: '12' oa: 1 oa_version: Preprint project: - _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A call_identifier: H2020 grant_number: '885707' name: Spectral rigidity and integrability for billiards and geodesic flows publication: arXiv publication_status: draft related_material: record: - id: '22255' relation: dissertation_contains status: public status: public title: Deformations of the standard map with prescribed actions and Lyapunov exponents type: preprint user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2025' ... --- _id: '12178' abstract: - lang: eng text: In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal L² regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well. acknowledgement: The authors thank the anonymous referees for their helpful comments and suggestions. Open Access funding enabled and organized by Projekt DEAL. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Antonio full_name: Agresti, Antonio id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72 last_name: Agresti orcid: 0000-0002-9573-2962 - first_name: Matthias full_name: Hieber, Matthias last_name: Hieber - first_name: Amru full_name: Hussein, Amru last_name: Hussein - first_name: Martin full_name: Saal, Martin last_name: Saal citation: ama: 'Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. 2024;12:53-133. doi:10.1007/s40072-022-00277-3' apa: 'Agresti, A., Hieber, M., Hussein, A., & Saal, M. (2024). The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-022-00277-3' chicago: 'Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2024. https://doi.org/10.1007/s40072-022-00277-3.' ieee: 'A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive equations with transport noise and turbulent pressure,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12. Springer Nature, pp. 53–133, 2024.' ista: 'Agresti A, Hieber M, Hussein A, Saal M. 2024. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. 12, 53–133.' mla: 'Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12, Springer Nature, 2024, pp. 53–133, doi:10.1007/s40072-022-00277-3.' short: 'A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential Equations: Analysis and Computations 12 (2024) 53–133.' date_created: 2023-01-12T12:12:29Z date_published: 2024-03-01T00:00:00Z date_updated: 2024-07-22T09:30:40Z day: '01' ddc: - '510' department: - _id: JuFi doi: 10.1007/s40072-022-00277-3 external_id: arxiv: - '2109.09561' isi: - '000874389000001' file: - access_level: open_access checksum: 59c9000761134d681bdf9d482664044c content_type: application/pdf creator: dernst date_created: 2024-07-22T09:29:48Z date_updated: 2024-07-22T09:29:48Z file_id: '17297' file_name: 2024_StochasticsEquations_Agresti.pdf file_size: 1206413 relation: main_file success: 1 file_date_updated: 2024-07-22T09:29:48Z fulldoi: https://doi.org/10.1007/s40072-022-00277-3 has_accepted_license: '1' intvolume: ' 12' isi: 1 keyword: - Applied Mathematics - Modeling and Simulation - Statistics and Probability language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: 53-133 publication: 'Stochastics and Partial Differential Equations: Analysis and Computations' publication_identifier: eissn: - 2194-041X issn: - 2194-0401 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: The stochastic primitive equations with transport noise and turbulent pressure tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 12 year: '2024' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '14986' abstract: - lang: eng text: We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for GLn(k). Let k be an algebraically closed field of characteristic p>n. Let X be a smooth projective curve over k with marked points, and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod) of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman to the tamely ramified case. We also prove a correspondence between flat connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles . acknowledgement: "This work was supported by the NSF [DMS-1502125to S.S.]; and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins for many helpful discussions on this subject and for his comments on this paper. I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments on an earlier version of this paper." article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Shiyu full_name: Shen, Shiyu id: 544cccd3-9005-11ec-87bc-94aef1c5b814 last_name: Shen orcid: 0000-0002-4444-8718 citation: ama: Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024;2024(7):6176-6208. doi:10.1093/imrn/rnae005 apa: Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae005 chicago: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae005. ieee: S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,” International Mathematics Research Notices, vol. 2024, no. 7. Oxford University Press, pp. 6176–6208, 2024. ista: Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024(7), 6176–6208. mla: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices, vol. 2024, no. 7, Oxford University Press, 2024, pp. 6176–208, doi:10.1093/imrn/rnae005. short: S. Shen, International Mathematics Research Notices 2024 (2024) 6176–6208. corr_author: '1' date_created: 2024-02-14T12:16:17Z date_published: 2024-04-01T00:00:00Z date_updated: 2025-09-09T08:30:06Z day: '01' ddc: - '510' department: - _id: TaHa doi: 10.1093/imrn/rnae005 ec_funded: 1 external_id: arxiv: - '1810.12491' isi: - '001157898100001' file: - access_level: open_access checksum: e3cd31ebb2e79b5b1f34d1c4ac9f5b0f content_type: application/pdf creator: dernst date_created: 2024-07-22T11:41:57Z date_updated: 2024-07-22T11:41:57Z file_id: '17308' file_name: 2024_IMRN_Shen.pdf file_size: 1488981 relation: main_file success: 1 file_date_updated: 2024-07-22T11:41:57Z fulldoi: https://doi.org/10.1093/imrn/rnae005 has_accepted_license: '1' intvolume: ' 2024' isi: 1 issue: '7' keyword: - General Mathematics language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 6176-6208 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Tamely ramified geometric Langlands correspondence in positive characteristic tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 2024 year: '2024' ... --- _id: '12164' abstract: - lang: eng text: 'A shared-memory counter is a widely-used and well-studied concurrent object. It supports two operations: An Inc operation that increases its value by 1 and a Read operation that returns its current value. In Jayanti et al (SIAM J Comput, 30(2), 2000), Jayanti, Tan and Toueg proved a linear lower bound on the worst-case step complexity of obstruction-free implementations, from read-write registers, of a large class of shared objects that includes counters. The lower bound leaves open the question of finding counter implementations with sub-linear amortized step complexity. In this work, we address this gap. We show that n-process, wait-free and linearizable counters can be implemented from read-write registers with O(log2n) amortized step complexity. This is the first counter algorithm from read-write registers that provides sub-linear amortized step complexity in executions of arbitrary length. Since a logarithmic lower bound on the amortized step complexity of obstruction-free counter implementations exists, our upper bound is within a logarithmic factor of the optimal. The worst-case step complexity of the construction remains linear, which is optimal. This is obtained thanks to a new max register construction with O(logn) amortized step complexity in executions of arbitrary length in which the value stored in the register does not grow too quickly. We then leverage an existing counter algorithm by Aspnes, Attiya and Censor-Hillel [1] in which we “plug” our max register implementation to show that it remains linearizable while achieving O(log2n) amortized step complexity.' acknowledgement: A preliminary version of this work appeared in DISC’19. Mirza Ahad Baig, Alessia Milani and Corentin Travers are supported by ANR projects Descartes and FREDDA. Mirza Ahad Baig is supported by UMI Relax. Danny Hendler is supported by the Israel Science Foundation (Grants 380/18 and 1425/22). article_processing_charge: No article_type: original author: - first_name: Mirza Ahad full_name: Baig, Mirza Ahad id: 3EDE6DE4-AA5A-11E9-986D-341CE6697425 last_name: Baig - first_name: Danny full_name: Hendler, Danny last_name: Hendler - first_name: Alessia full_name: Milani, Alessia last_name: Milani - first_name: Corentin full_name: Travers, Corentin last_name: Travers citation: ama: Baig MA, Hendler D, Milani A, Travers C. Long-lived counters with polylogarithmic amortized step complexity. Distributed Computing. 2023;36:29-43. doi:10.1007/s00446-022-00439-5 apa: Baig, M. A., Hendler, D., Milani, A., & Travers, C. (2023). Long-lived counters with polylogarithmic amortized step complexity. Distributed Computing. Springer Nature. https://doi.org/10.1007/s00446-022-00439-5 chicago: Baig, Mirza Ahad, Danny Hendler, Alessia Milani, and Corentin Travers. “Long-Lived Counters with Polylogarithmic Amortized Step Complexity.” Distributed Computing. Springer Nature, 2023. https://doi.org/10.1007/s00446-022-00439-5. ieee: M. A. Baig, D. Hendler, A. Milani, and C. Travers, “Long-lived counters with polylogarithmic amortized step complexity,” Distributed Computing, vol. 36. Springer Nature, pp. 29–43, 2023. ista: Baig MA, Hendler D, Milani A, Travers C. 2023. Long-lived counters with polylogarithmic amortized step complexity. Distributed Computing. 36, 29–43. mla: Baig, Mirza Ahad, et al. “Long-Lived Counters with Polylogarithmic Amortized Step Complexity.” Distributed Computing, vol. 36, Springer Nature, 2023, pp. 29–43, doi:10.1007/s00446-022-00439-5. short: M.A. Baig, D. Hendler, A. Milani, C. Travers, Distributed Computing 36 (2023) 29–43. date_created: 2023-01-12T12:10:08Z date_published: 2023-03-01T00:00:00Z date_updated: 2023-08-16T08:39:36Z day: '01' department: - _id: KrPi doi: 10.1007/s00446-022-00439-5 external_id: isi: - '000890138700001' fulldoi: https://doi.org/10.1007/s00446-022-00439-5 intvolume: ' 36' isi: 1 keyword: - Computational Theory and Mathematics - Computer Networks and Communications - Hardware and Architecture - Theoretical Computer Science language: - iso: eng main_file_link: - open_access: '1' url: https://drops.dagstuhl.de/opus/volltexte/2019/11310/ month: '03' oa: 1 oa_version: Preprint page: 29-43 publication: Distributed Computing publication_identifier: eissn: - 1432-0452 issn: - 0178-2770 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Long-lived counters with polylogarithmic amortized step complexity type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 36 year: '2023' ... --- _id: '12287' abstract: - lang: eng text: We present criteria for establishing a triangulation of a manifold. Given a manifold M, a simplicial complex A, and a map H from the underlying space of A to M, our criteria are presented in local coordinate charts for M, and ensure that H is a homeomorphism. These criteria do not require a differentiable structure, or even an explicit metric on M. No Delaunay property of A is assumed. The result provides a triangulation guarantee for algorithms that construct a simplicial complex by working in local coordinate patches. Because the criteria are easily verified in such a setting, they are expected to be of general use. acknowledgement: "This work has been funded by the European Research Council under the European Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). Arijit Ghosh is supported by Ramanujan Fellowship (No. SB/S2/RJN-064/2015). Part of this work was done when Arijit Ghosh was a Researcher at Max-Planck-Institute for Informatics, Germany, supported by the IndoGerman Max Planck Center for Computer Science (IMPECS). Mathijs Wintraecken also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Austrian Science Fund (FWF): M-3073. A part of the results described in this paper were presented at SoCG 2018 and in [3]. \r\nOpen access funding provided by the Austrian Science Fund (FWF)." article_processing_charge: No article_type: original author: - first_name: Jean-Daniel full_name: Boissonnat, Jean-Daniel last_name: Boissonnat - first_name: Ramsay full_name: Dyer, Ramsay last_name: Dyer - first_name: Arijit full_name: Ghosh, Arijit last_name: Ghosh - first_name: Mathijs full_name: Wintraecken, Mathijs id: 307CFBC8-F248-11E8-B48F-1D18A9856A87 last_name: Wintraecken orcid: 0000-0002-7472-2220 citation: ama: Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 2023;69:156-191. doi:10.1007/s00454-022-00431-7 apa: Boissonnat, J.-D., Dyer, R., Ghosh, A., & Wintraecken, M. (2023). Local criteria for triangulating general manifolds. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00431-7 chicago: Boissonnat, Jean-Daniel, Ramsay Dyer, Arijit Ghosh, and Mathijs Wintraecken. “Local Criteria for Triangulating General Manifolds.” Discrete & Computational Geometry. Springer Nature, 2023. https://doi.org/10.1007/s00454-022-00431-7. ieee: J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023. ista: Boissonnat J-D, Dyer R, Ghosh A, Wintraecken M. 2023. Local criteria for triangulating general manifolds. Discrete & Computational Geometry. 69, 156–191. mla: Boissonnat, Jean-Daniel, et al. “Local Criteria for Triangulating General Manifolds.” Discrete & Computational Geometry, vol. 69, Springer Nature, 2023, pp. 156–91, doi:10.1007/s00454-022-00431-7. short: J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191. corr_author: '1' date_created: 2023-01-16T10:04:06Z date_published: 2023-01-01T00:00:00Z date_updated: 2025-04-14T07:44:00Z day: '01' ddc: - '510' department: - _id: HeEd doi: 10.1007/s00454-022-00431-7 ec_funded: 1 external_id: isi: - '000862193600001' file: - access_level: open_access checksum: 46352e0ee71e460848f88685ca852681 content_type: application/pdf creator: dernst date_created: 2023-02-02T11:01:10Z date_updated: 2023-02-02T11:01:10Z file_id: '12488' file_name: 2023_DiscreteCompGeometry_Boissonnat.pdf file_size: 582850 relation: main_file success: 1 file_date_updated: 2023-02-02T11:01:10Z fulldoi: https://doi.org/10.1007/s00454-022-00431-7 has_accepted_license: '1' intvolume: ' 69' isi: 1 keyword: - Computational Theory and Mathematics - Discrete Mathematics and Combinatorics - Geometry and Topology - Theoretical Computer Science language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 156-191 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: fc390959-9c52-11eb-aca3-afa58bd282b2 grant_number: M03073 name: Learning and triangulating manifolds via collapses publication: Discrete & Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Local criteria for triangulating general manifolds tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 69 year: '2023' ... --- _id: '12563' abstract: - lang: eng text: 'he approximate graph coloring problem, whose complexity is unresolved in most cases, concerns finding a c-coloring of a graph that is promised to be k-colorable, where c≥k. This problem naturally generalizes to promise graph homomorphism problems and further to promise constraint satisfaction problems. The complexity of these problems has recently been studied through an algebraic approach. In this paper, we introduce two new techniques to analyze the complexity of promise CSPs: one is based on topology and the other on adjunction. We apply these techniques, together with the previously introduced algebraic approach, to obtain new unconditional NP-hardness results for a significant class of approximate graph coloring and promise graph homomorphism problems.' acknowledgement: "Andrei Krokhin and Jakub Opršal were supported by the UK EPSRC grant EP/R034516/1. Jakub Opršal has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413. Stanislav Živný was supported by a Royal Society University Research Fellowship. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 714532). The paper re\x1Eects only the authors’ views and not the views of the ERC or the European Commission. " article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Andrei full_name: Krokhin, Andrei last_name: Krokhin - first_name: Jakub full_name: Opršal, Jakub id: ec596741-c539-11ec-b829-c79322a91242 last_name: Opršal orcid: 0000-0003-1245-3456 - first_name: Marcin full_name: Wrochna, Marcin last_name: Wrochna - first_name: Stanislav full_name: Živný, Stanislav last_name: Živný citation: ama: Krokhin A, Opršal J, Wrochna M, Živný S. Topology and adjunction in promise constraint satisfaction. SIAM Journal on Computing. 2023;52(1):38-79. doi:10.1137/20m1378223 apa: Krokhin, A., Opršal, J., Wrochna, M., & Živný, S. (2023). Topology and adjunction in promise constraint satisfaction. SIAM Journal on Computing. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/20m1378223 chicago: Krokhin, Andrei, Jakub Opršal, Marcin Wrochna, and Stanislav Živný. “Topology and Adjunction in Promise Constraint Satisfaction.” SIAM Journal on Computing. Society for Industrial and Applied Mathematics, 2023. https://doi.org/10.1137/20m1378223. ieee: A. Krokhin, J. Opršal, M. Wrochna, and S. Živný, “Topology and adjunction in promise constraint satisfaction,” SIAM Journal on Computing, vol. 52, no. 1. Society for Industrial and Applied Mathematics, pp. 38–79, 2023. ista: Krokhin A, Opršal J, Wrochna M, Živný S. 2023. Topology and adjunction in promise constraint satisfaction. SIAM Journal on Computing. 52(1), 38–79. mla: Krokhin, Andrei, et al. “Topology and Adjunction in Promise Constraint Satisfaction.” SIAM Journal on Computing, vol. 52, no. 1, Society for Industrial and Applied Mathematics, 2023, pp. 38–79, doi:10.1137/20m1378223. short: A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52 (2023) 38–79. date_created: 2023-02-16T07:03:52Z date_published: 2023-01-01T00:00:00Z date_updated: 2025-05-14T10:51:32Z day: '01' department: - _id: UlWa doi: 10.1137/20m1378223 ec_funded: 1 external_id: arxiv: - '2003.11351' isi: - '000955000000001' fulldoi: https://doi.org/10.1137/20m1378223 intvolume: ' 52' isi: 1 issue: '1' keyword: - General Mathematics - General Computer Science language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2003.11351 month: '01' oa: 1 oa_version: Preprint page: 38-79 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: SIAM Journal on Computing publication_identifier: eissn: - 1095-7111 issn: - 0097-5397 publication_status: published publisher: Society for Industrial and Applied Mathematics quality_controlled: '1' scopus_import: '1' status: public title: Topology and adjunction in promise constraint satisfaction type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 52 year: '2023' ... --- _id: '14499' abstract: - lang: eng text: "An n-vertex graph is called C-Ramsey if it has no clique or independent set of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper, we study edge statistics in Ramsey graphs, in particular obtaining very precise control of the distribution of the number of edges in a random vertex subset of a C-Ramsey graph. This brings together two ongoing lines of research: the study of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds via an ‘additive structure’ dichotomy on the degree sequence and involves a wide range of different tools from Fourier analysis, random matrix theory, the theory of Boolean functions, probabilistic combinatorics and low-rank approximation. In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright theorem on small-ball probability for polynomials of Gaussians, which we believe is of independent interest. One of the consequences of our result is the resolution of an old conjecture of Erdős and McKay, for which Erdős reiterated in several of his open problem collections and for which he offered one of his notorious monetary prizes." acknowledgement: Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research Fellowship. article_number: e21 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Matthew Alan full_name: Kwan, Matthew Alan id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3 last_name: Kwan orcid: 0000-0002-4003-7567 - first_name: Ashwin full_name: Sah, Ashwin last_name: Sah - first_name: Lisa full_name: Sauermann, Lisa last_name: Sauermann - first_name: Mehtaab full_name: Sawhney, Mehtaab last_name: Sawhney citation: ama: Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11. doi:10.1017/fmp.2023.17 apa: Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17 chicago: Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17. ieee: M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi, vol. 11. Cambridge University Press, 2023. ista: Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11, e21. mla: Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21, Cambridge University Press, 2023, doi:10.1017/fmp.2023.17. short: M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023). corr_author: '1' date_created: 2023-11-07T09:02:48Z date_published: 2023-08-24T00:00:00Z date_updated: 2025-09-09T13:16:15Z day: '24' ddc: - '510' department: - _id: MaKw doi: 10.1017/fmp.2023.17 external_id: arxiv: - '2208.02874' isi: - '001123866200001' file: - access_level: open_access checksum: 54b824098d59073cc87a308d458b0a3e content_type: application/pdf creator: dernst date_created: 2023-11-07T09:16:23Z date_updated: 2023-11-07T09:16:23Z file_id: '14500' file_name: 2023_ForumMathematics_Kwan.pdf file_size: 1218719 relation: main_file success: 1 file_date_updated: 2023-11-07T09:16:23Z fulldoi: https://doi.org/10.1017/fmp.2023.17 has_accepted_license: '1' intvolume: ' 11' isi: 1 keyword: - Discrete Mathematics and Combinatorics - Geometry and Topology - Mathematical Physics - Statistics and Probability - Algebra and Number Theory - Analysis language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: bd95085b-d553-11ed-ba76-e55d3349be45 grant_number: '101076777' name: Randomness and structure in combinatorics publication: Forum of Mathematics, Pi publication_identifier: issn: - 2050-5086 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 11 year: '2023' ... --- _id: '14737' abstract: - lang: eng text: 'John’s fundamental theorem characterizing the largest volume ellipsoid contained in a convex body $K$ in $\mathbb{R}^{d}$ has seen several generalizations and extensions. One direction, initiated by V. Milman is to replace ellipsoids by positions (affine images) of another body $L$. Another, more recent direction is to consider logarithmically concave functions on $\mathbb{R}^{d}$ instead of convex bodies: we designate some special, radially symmetric log-concave function $g$ as the analogue of the Euclidean ball, and want to find its largest integral position under the constraint that it is pointwise below some given log-concave function $f$. We follow both directions simultaneously: we consider the functional question, and allow essentially any meaningful function to play the role of $g$ above. Our general theorems jointly extend known results in both directions. The dual problem in the setting of convex bodies asks for the smallest volume ellipsoid, called Löwner’s ellipsoid, containing $K$. We consider the analogous problem for functions: we characterize the solutions of the optimization problem of finding a smallest integral position of some log-concave function $g$ under the constraint that it is pointwise above $f$. It turns out that in the functional setting, the relationship between the John and the Löwner problems is more intricate than it is in the setting of convex bodies.' acknowledgement: "We thank Alexander Litvak for the many discussions on Theorem 1.1. Igor Tsiutsiurupa participated in the early stage of this project. To our deep regret, Igor chose another road for his life and stopped working with us.\r\nThis work was supported by the János Bolyai Scholarship of the Hungarian Academy of Sciences [to M.N.]; the National Research, Development, and Innovation Fund (NRDI) [K119670 and K131529 to M.N.]; and the ÚNKP-22-5 New National Excellence Program of the Ministry for Innovation and Technology from the source of the NRDI [to M.N.]." article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Grigory full_name: Ivanov, Grigory id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E last_name: Ivanov - first_name: Márton full_name: Naszódi, Márton last_name: Naszódi citation: ama: Ivanov G, Naszódi M. Functional John and Löwner conditions for pairs of log-concave functions. International Mathematics Research Notices. 2023;2023(23):20613-20669. doi:10.1093/imrn/rnad210 apa: Ivanov, G., & Naszódi, M. (2023). Functional John and Löwner conditions for pairs of log-concave functions. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnad210 chicago: Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions for Pairs of Log-Concave Functions.” International Mathematics Research Notices. Oxford University Press, 2023. https://doi.org/10.1093/imrn/rnad210. ieee: G. Ivanov and M. Naszódi, “Functional John and Löwner conditions for pairs of log-concave functions,” International Mathematics Research Notices, vol. 2023, no. 23. Oxford University Press, pp. 20613–20669, 2023. ista: Ivanov G, Naszódi M. 2023. Functional John and Löwner conditions for pairs of log-concave functions. International Mathematics Research Notices. 2023(23), 20613–20669. mla: Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions for Pairs of Log-Concave Functions.” International Mathematics Research Notices, vol. 2023, no. 23, Oxford University Press, 2023, pp. 20613–69, doi:10.1093/imrn/rnad210. short: G. Ivanov, M. Naszódi, International Mathematics Research Notices 2023 (2023) 20613–20669. corr_author: '1' date_created: 2024-01-08T09:48:56Z date_published: 2023-12-01T00:00:00Z date_updated: 2025-09-09T14:08:25Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.1093/imrn/rnad210 external_id: arxiv: - '2212.11781' isi: - '001184146800001' file: - access_level: open_access checksum: 353666cea80633beb0f1ffd342dff6d4 content_type: application/pdf creator: dernst date_created: 2024-01-08T09:53:09Z date_updated: 2024-01-08T09:53:09Z file_id: '14738' file_name: 2023_IMRN_Ivanov.pdf file_size: 815777 relation: main_file success: 1 file_date_updated: 2024-01-08T09:53:09Z fulldoi: https://doi.org/10.1093/imrn/rnad210 has_accepted_license: '1' intvolume: ' 2023' isi: 1 issue: '23' keyword: - General Mathematics language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '12' oa: 1 oa_version: Published Version page: 20613-20669 publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Functional John and Löwner conditions for pairs of log-concave functions tmp: image: /images/cc_by_nc_nd.png 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) short: CC BY-NC-ND (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 2023 year: '2023' ... --- _id: '14739' abstract: - lang: eng text: Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In this paper, we study thirteen such methods. Besides describing an organizational framework for these methods, we comprehensively benchmark them against three well-known classification tasks. Surprisingly, we discover that the best-performing method is a simple vectorization, which consists only of a few elementary summary statistics. Finally, we provide a convenient web application which has been designed to facilitate exploration and experimentation with various vectorization methods. acknowledgement: "The work of Maria-Jose Jimenez, Eduardo Paluzo-Hidalgo and Manuel Soriano-Trigueros was supported in part by the Spanish grant Ministerio de Ciencia e Innovacion under Grants TED2021-129438B-I00 and PID2019-107339GB-I00, and in part by REXASI-PRO H-EU project, call HORIZON-CL4-2021-HUMAN-01-01 under Grant 101070028. The work of\r\nMaria-Jose Jimenez was supported by a grant of Convocatoria de la Universidad de Sevilla para la recualificacion del sistema universitario español, 2021-23, funded by the European Union, NextGenerationEU. The work of Vidit Nanda was supported in part by EPSRC under Grant EP/R018472/1 and in part by US AFOSR under Grant FA9550-22-1-0462. \r\nWe are grateful to the team of GUDHI and TEASPOON developers, for their work and their support. We are also grateful to Streamlit for providing extra resources to deploy the web app\r\nonline on Streamlit community cloud. We thank the anonymous referees for their helpful suggestions." article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Dashti full_name: Ali, Dashti last_name: Ali - first_name: Aras full_name: Asaad, Aras last_name: Asaad - first_name: Maria-Jose full_name: Jimenez, Maria-Jose last_name: Jimenez - first_name: Vidit full_name: Nanda, Vidit last_name: Nanda - first_name: Eduardo full_name: Paluzo-Hidalgo, Eduardo last_name: Paluzo-Hidalgo - first_name: Manuel full_name: Soriano Trigueros, Manuel id: 15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8 last_name: Soriano Trigueros orcid: 0000-0003-2449-1433 citation: ama: Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2023;45(12):14069-14080. doi:10.1109/tpami.2023.3308391 apa: Ali, D., Asaad, A., Jimenez, M.-J., Nanda, V., Paluzo-Hidalgo, E., & Soriano Trigueros, M. (2023). A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE. https://doi.org/10.1109/tpami.2023.3308391 chicago: Ali, Dashti, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo, and Manuel Soriano Trigueros. “A Survey of Vectorization Methods in Topological Data Analysis.” IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE, 2023. https://doi.org/10.1109/tpami.2023.3308391. ieee: D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, and M. Soriano Trigueros, “A survey of vectorization methods in topological data analysis,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 45, no. 12. IEEE, pp. 14069–14080, 2023. ista: Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. 2023. A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. 45(12), 14069–14080. mla: Ali, Dashti, et al. “A Survey of Vectorization Methods in Topological Data Analysis.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 45, no. 12, IEEE, 2023, pp. 14069–80, doi:10.1109/tpami.2023.3308391. short: D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, M. Soriano Trigueros, IEEE Transactions on Pattern Analysis and Machine Intelligence 45 (2023) 14069–14080. date_created: 2024-01-08T09:59:46Z date_published: 2023-12-01T00:00:00Z date_updated: 2025-09-09T14:08:56Z day: '01' ddc: - '000' department: - _id: HeEd doi: 10.1109/tpami.2023.3308391 external_id: isi: - '001104973300002' file: - access_level: open_access checksum: 465c28ef0b151b4b1fb47977ed5581ab content_type: application/pdf creator: dernst date_created: 2024-01-08T10:09:14Z date_updated: 2024-01-08T10:09:14Z file_id: '14740' file_name: 2023_IEEEToP_Ali.pdf file_size: 2370988 relation: main_file success: 1 file_date_updated: 2024-01-08T10:09:14Z fulldoi: https://doi.org/10.1109/tpami.2023.3308391 has_accepted_license: '1' intvolume: ' 45' isi: 1 issue: '12' keyword: - Applied Mathematics - Artificial Intelligence - Computational Theory and Mathematics - Computer Vision and Pattern Recognition - Software language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: 14069-14080 publication: IEEE Transactions on Pattern Analysis and Machine Intelligence publication_identifier: eissn: - 1939-3539 issn: - 0162-8828 publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: A survey of vectorization methods in topological data analysis tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 45 year: '2023' ... --- _id: '14754' abstract: - lang: eng text: The large-scale laminar/turbulent spiral patterns that appear in the linearly unstable regime of counter-rotating Taylor–Couette flow are investigated from a statistical perspective by means of direct numerical simulation. Unlike the vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular domains, following a coordinate change that aligns one of the parallelogram sides with the spiral pattern. The domain size, shape and spatial resolution have been varied and the results compared with those in a sufficiently large computational orthogonal domain with natural axial and azimuthal periodicity. We find that a minimal parallelogram of the right tilt significantly reduces the computational cost without notably compromising the statistical properties of the supercritical turbulent spiral. Its mean structure, obtained from extremely long time integrations in a co-rotating reference frame using the method of slices, bears remarkable similarity with the turbulent stripes observed in plane Couette flow, the centrifugal instability playing only a secondary role. acknowledgement: K.D.’s research was supported by Australian Research Council Discovery Early Career Researcher Award (DE170100171). B.W., R.A., F.M. and A.M. research was supported by the Spanish Ministerio de Economía y Competitividad (grant nos. FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant no. PID2020-114043GB-I00) and the Generalitat de Catalunya (grant no. 2017-SGR-785). B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC no. 201806440152). F.M. is a Serra-Húnter Fellow. article_number: '0112' article_processing_charge: No article_type: original author: - first_name: B. full_name: Wang, B. last_name: Wang - first_name: F. full_name: Mellibovsky, F. last_name: Mellibovsky - first_name: Roger full_name: Ayats López, Roger id: ab77522d-073b-11ed-8aff-e71b39258362 last_name: Ayats López orcid: 0000-0001-6572-0621 - first_name: K. full_name: Deguchi, K. last_name: Deguchi - first_name: A. full_name: Meseguer, A. last_name: Meseguer citation: ama: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions of the Royal Society A. 2023;381(2246). doi:10.1098/rsta.2022.0112 apa: Wang, B., Mellibovsky, F., Ayats López, R., Deguchi, K., & Meseguer, A. (2023). Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions of the Royal Society A. The Royal Society. https://doi.org/10.1098/rsta.2022.0112 chicago: Wang, B., F. Mellibovsky, Roger Ayats López, K. Deguchi, and A. Meseguer. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.” Philosophical Transactions of the Royal Society A. The Royal Society, 2023. https://doi.org/10.1098/rsta.2022.0112. ieee: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, and A. Meseguer, “Mean structure of the supercritical turbulent spiral in Taylor–Couette flow,” Philosophical Transactions of the Royal Society A, vol. 381, no. 2246. The Royal Society, 2023. ista: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. 2023. Mean structure of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions of the Royal Society A. 381(2246), 0112. mla: Wang, B., et al. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.” Philosophical Transactions of the Royal Society A, vol. 381, no. 2246, 0112, The Royal Society, 2023, doi:10.1098/rsta.2022.0112. short: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, A. Meseguer, Philosophical Transactions of the Royal Society A 381 (2023). date_created: 2024-01-08T13:11:45Z date_published: 2023-05-01T00:00:00Z date_updated: 2025-09-09T14:14:17Z day: '01' ddc: - '530' department: - _id: BjHo doi: 10.1098/rsta.2022.0112 external_id: isi: - '000947761800008' pmid: - '36907214' file: - access_level: open_access checksum: 1978d126c0ce2f47c22ac20107cc0106 content_type: application/pdf creator: dernst date_created: 2024-01-09T09:13:53Z date_updated: 2024-01-09T09:13:53Z file_id: '14763' file_name: 2023_PhilTransactionsA_Wang_accepted.pdf file_size: 6421086 relation: main_file success: 1 file_date_updated: 2024-01-09T09:13:53Z fulldoi: https://doi.org/10.1098/rsta.2022.0112 has_accepted_license: '1' intvolume: ' 381' isi: 1 issue: '2246' keyword: - General Physics and Astronomy - General Engineering - General Mathematics language: - iso: eng month: '05' oa: 1 oa_version: Submitted Version pmid: 1 publication: Philosophical Transactions of the Royal Society A publication_identifier: eissn: - 1471-2962 issn: - 1364-503X publication_status: published publisher: The Royal Society quality_controlled: '1' scopus_import: '1' status: public title: Mean structure of the supercritical turbulent spiral in Taylor–Couette flow tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 381 year: '2023' ... --- _id: '14755' abstract: - lang: eng text: We consider the sharp interface limit for the scalar-valued and vector-valued Allen–Cahn equation with homogeneous Neumann boundary condition in a bounded smooth domain Ω of arbitrary dimension N ⩾ 2 in the situation when a two-phase diffuse interface has developed and intersects the boundary ∂ Ω. The limit problem is mean curvature flow with 90°-contact angle and we show convergence in strong norms for well-prepared initial data as long as a smooth solution to the limit problem exists. To this end we assume that the limit problem has a smooth solution on [ 0 , T ] for some time T > 0. Based on the latter we construct suitable curvilinear coordinates and set up an asymptotic expansion for the scalar-valued and the vector-valued Allen–Cahn equation. In order to estimate the difference of the exact and approximate solutions with a Gronwall-type argument, a spectral estimate for the linearized Allen–Cahn operator in both cases is required. The latter will be shown in a separate paper, cf. (Moser (2021)). acknowledgement: "The author gratefully acknowledges support through DFG, GRK 1692 “Curvature,\r\nCycles and Cohomology” during parts of the work." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Maximilian full_name: Moser, Maximilian id: a60047a9-da77-11eb-85b4-c4dc385ebb8c last_name: Moser citation: ama: 'Moser M. Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. Asymptotic Analysis. 2023;131(3-4):297-383. doi:10.3233/asy-221775' apa: 'Moser, M. (2023). Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. Asymptotic Analysis. IOS Press. https://doi.org/10.3233/asy-221775' chicago: 'Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part I: Convergence Result.” Asymptotic Analysis. IOS Press, 2023. https://doi.org/10.3233/asy-221775.' ieee: 'M. Moser, “Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result,” Asymptotic Analysis, vol. 131, no. 3–4. IOS Press, pp. 297–383, 2023.' ista: 'Moser M. 2023. Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result. Asymptotic Analysis. 131(3–4), 297–383.' mla: 'Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part I: Convergence Result.” Asymptotic Analysis, vol. 131, no. 3–4, IOS Press, 2023, pp. 297–383, doi:10.3233/asy-221775.' short: M. Moser, Asymptotic Analysis 131 (2023) 297–383. corr_author: '1' date_created: 2024-01-08T13:13:28Z date_published: 2023-02-02T00:00:00Z date_updated: 2025-09-09T14:14:55Z day: '02' department: - _id: JuFi doi: 10.3233/asy-221775 external_id: arxiv: - '2105.07100' isi: - '000927801300001' fulldoi: https://doi.org/10.3233/asy-221775 intvolume: ' 131' isi: 1 issue: 3-4 keyword: - General Mathematics language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2105.07100 month: '02' oa: 1 oa_version: Preprint page: 297-383 publication: Asymptotic Analysis publication_identifier: eissn: - 1875-8576 issn: - 0921-7134 publication_status: published publisher: IOS Press quality_controlled: '1' scopus_import: '1' status: public title: 'Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result' type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 131 year: '2023' ... --- _id: '14780' abstract: - lang: eng text: In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩ for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence rates. Moreover, we prove that the non-outlier eigenvalues stick with those of the unspiked matrices and the non-outlier eigenvectors are delocalized. The results also hold near the so-called BBP transition and for degenerate spikes. On one hand, our results can be regarded as a refinement of the counterparts of [12] under additional regularity conditions. On the other hand, they can be viewed as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar random matrix. acknowledgement: The authors would like to thank the editor, the associated editor and two anonymous referees for their many critical suggestions which have significantly improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee for many helpful discussions. The first author also wants to thank Hari Bercovici for many useful comments. The first author is partially supported by National Science Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant “RMTBeyond” No. 101020331. article_processing_charge: Yes (in subscription journal) article_type: original arxiv: 1 author: - first_name: Xiucai full_name: Ding, Xiucai last_name: Ding - first_name: Hong Chang full_name: Ji, Hong Chang id: dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d last_name: Ji citation: ama: Ding X, Ji HC. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009 apa: Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2023.05.009 chicago: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications. Elsevier, 2023. https://doi.org/10.1016/j.spa.2023.05.009. ieee: X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” Stochastic Processes and their Applications, vol. 163. Elsevier, pp. 25–60, 2023. ista: Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60. mla: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications, vol. 163, Elsevier, 2023, pp. 25–60, doi:10.1016/j.spa.2023.05.009. short: X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60. date_created: 2024-01-10T09:29:25Z date_published: 2023-09-01T00:00:00Z date_updated: 2025-07-16T08:01:03Z day: '01' ddc: - '510' department: - _id: LaEr doi: 10.1016/j.spa.2023.05.009 ec_funded: 1 external_id: arxiv: - '2302.13502' isi: - '001113615900001' file: - access_level: open_access checksum: 46a708b0cd5569a73d0f3d6c3e0a44dc content_type: application/pdf creator: dernst date_created: 2024-01-16T08:47:31Z date_updated: 2024-01-16T08:47:31Z file_id: '14806' file_name: 2023_StochasticProcAppl_Ding.pdf file_size: 1870349 relation: main_file success: 1 file_date_updated: 2024-01-16T08:47:31Z fulldoi: https://doi.org/10.1016/j.spa.2023.05.009 has_accepted_license: '1' intvolume: ' 163' isi: 1 keyword: - Applied Mathematics - Modeling and Simulation - Statistics and Probability language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 25-60 project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Stochastic Processes and their Applications publication_identifier: eissn: - 1879-209X issn: - 0304-4149 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Spiked multiplicative random matrices and principal components tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 163 year: '2023' ... --- _id: '10842' abstract: - lang: eng text: We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Solé in [13]. We also give some applications to enumeration of certain generalized double circulant self-dual and linear complementary dual (LCD) codes over some finite rings together with an application in asymptotic coding theory. acknowledgement: The authors would like to thank Prof. Dr. Minjia Shi for bringing [13, Conjecture 3.5] to our attention. We would also like to thank the associate editor and anonymous reviewers for their valuable comments and suggestions which improved and clarified the manuscript. article_processing_charge: No article_type: original author: - first_name: Seyda full_name: Köse, Seyda id: 8ba3170d-dc85-11ea-9058-c4251c96a6eb last_name: Köse - first_name: Ferruh full_name: Özbudak, Ferruh last_name: Özbudak citation: ama: Köse S, Özbudak F. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. 2022;14(4):933-948. doi:10.1007/s12095-022-00557-8 apa: Köse, S., & Özbudak, F. (2022). Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. Springer Nature. https://doi.org/10.1007/s12095-022-00557-8 chicago: Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” Cryptography and Communications. Springer Nature, 2022. https://doi.org/10.1007/s12095-022-00557-8. ieee: S. Köse and F. Özbudak, “Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes,” Cryptography and Communications, vol. 14, no. 4. Springer Nature, pp. 933–948, 2022. ista: Köse S, Özbudak F. 2022. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. 14(4), 933–948. mla: Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” Cryptography and Communications, vol. 14, no. 4, Springer Nature, 2022, pp. 933–48, doi:10.1007/s12095-022-00557-8. short: S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948. date_created: 2022-03-10T12:16:19Z date_published: 2022-07-01T00:00:00Z date_updated: 2023-09-05T15:35:55Z day: '01' department: - _id: GradSch doi: 10.1007/s12095-022-00557-8 external_id: isi: - '000766422000002' fulldoi: https://doi.org/10.1007/s12095-022-00557-8 intvolume: ' 14' isi: 1 issue: '4' keyword: - Applied Mathematics - Computational Theory and Mathematics - Computer Networks and Communications language: - iso: eng month: '07' oa_version: None page: 933-948 publication: Cryptography and Communications publication_identifier: eissn: - 1936-2455 issn: - 1936-2447 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 14 year: '2022' ... --- _id: '11135' abstract: - lang: eng text: We consider a correlated NxN Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, we show that its operator norm is stochastically dominated by one. article_number: '2250036' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Jana full_name: Reker, Jana id: e796e4f9-dc8d-11ea-abe3-97e26a0323e9 last_name: Reker citation: ama: 'Reker J. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368' apa: 'Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. World Scientific Publishing. https://doi.org/10.1142/s2010326322500368' chicago: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” Random Matrices: Theory and Applications. World Scientific Publishing, 2022. https://doi.org/10.1142/s2010326322500368.' ieee: 'J. Reker, “On the operator norm of a Hermitian random matrix with correlated entries,” Random Matrices: Theory and Applications, vol. 11, no. 4. World Scientific Publishing, 2022.' ista: 'Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 11(4), 2250036.' mla: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” Random Matrices: Theory and Applications, vol. 11, no. 4, 2250036, World Scientific Publishing, 2022, doi:10.1142/s2010326322500368.' short: 'J. Reker, Random Matrices: Theory and Applications 11 (2022).' corr_author: '1' date_created: 2022-04-08T07:11:12Z date_published: 2022-10-01T00:00:00Z date_updated: 2026-04-07T13:02:12Z day: '01' department: - _id: GradSch - _id: LaEr doi: 10.1142/s2010326322500368 external_id: arxiv: - '2103.03906' isi: - '000848873800001' fulldoi: https://doi.org/10.1142/s2010326322500368 intvolume: ' 11' isi: 1 issue: '4' keyword: - Discrete Mathematics and Combinatorics - Statistics - Probability and Uncertainty - Statistics and Probability - Algebra and Number Theory language: - iso: eng main_file_link: - open_access: '1' url: ' https://doi.org/10.48550/arXiv.2103.03906' month: '10' oa: 1 oa_version: Preprint publication: 'Random Matrices: Theory and Applications' publication_identifier: eissn: - 2010-3271 issn: - 2010-3263 publication_status: published publisher: World Scientific Publishing quality_controlled: '1' related_material: record: - id: '17164' relation: dissertation_contains status: public scopus_import: '1' status: public title: On the operator norm of a Hermitian random matrix with correlated entries type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 11 year: '2022' ... --- _id: '11343' abstract: - lang: eng text: Multistable systems are characterized by exhibiting domain coexistence, where each domain accounts for the different equilibrium states. In case these systems are described by vectorial fields, domains can be connected through topological defects. Vortices are one of the most frequent and studied topological defect points. Optical vortices are equally relevant for their fundamental features as beams with topological features and their applications in image processing, telecommunications, optical tweezers, and quantum information. A natural source of optical vortices is the interaction of light beams with matter vortices in liquid crystal cells. The rhythms that govern the emergence of matter vortices due to fluctuations are not established. Here, we investigate the nucleation mechanisms of the matter vortices in liquid crystal cells and establish statistical laws that govern them. Based on a stochastic amplitude equation, the law for the number of nucleated vortices as a function of anisotropy, voltage, and noise level intensity is set. Experimental observations in a nematic liquid crystal cell with homeotropic anchoring and a negative anisotropic dielectric constant under the influence of a transversal electric field show a qualitative agreement with the theoretical findings. acknowledgement: "The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre for fructified discussions. This work was funded by ANID—Millennium Science Initiative Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353 project.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria)." article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Esteban full_name: Aguilera, Esteban last_name: Aguilera - first_name: Marcel G. full_name: Clerc, Marcel G. last_name: Clerc - first_name: Valeska full_name: Zambra, Valeska id: 467ed36b-dc96-11ea-b7c8-b043a380b282 last_name: Zambra citation: ama: Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 2022;108:3209-3218. doi:10.1007/s11071-022-07396-5 apa: Aguilera, E., Clerc, M. G., & Zambra, V. (2022). Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. Springer Nature. https://doi.org/10.1007/s11071-022-07396-5 chicago: Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” Nonlinear Dynamics. Springer Nature, 2022. https://doi.org/10.1007/s11071-022-07396-5. ieee: E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent fluctuations in nematic liquid crystal cells,” Nonlinear Dynamics, vol. 108. Springer Nature, pp. 3209–3218, 2022. ista: Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218. mla: Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” Nonlinear Dynamics, vol. 108, Springer Nature, 2022, pp. 3209–18, doi:10.1007/s11071-022-07396-5. short: E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218. corr_author: '1' date_created: 2022-05-02T07:01:59Z date_published: 2022-06-01T00:00:00Z date_updated: 2024-10-09T21:02:21Z day: '01' ddc: - '530' department: - _id: KiMo doi: 10.1007/s11071-022-07396-5 external_id: isi: - '000784871800001' file: - access_level: open_access checksum: 7d80cdece4e1b1c2106e6772a9622f60 content_type: application/pdf creator: dernst date_created: 2022-08-05T06:13:19Z date_updated: 2022-08-05T06:13:19Z file_id: '11728' file_name: 2022_NonlinearDyn_Aguilera.pdf file_size: 1416049 relation: main_file success: 1 file_date_updated: 2022-08-05T06:13:19Z fulldoi: https://doi.org/10.1007/s11071-022-07396-5 has_accepted_license: '1' intvolume: ' 108' isi: 1 keyword: - Electrical and Electronic Engineering - Applied Mathematics - Mechanical Engineering - Ocean Engineering - Aerospace Engineering - Control and Systems Engineering language: - iso: eng month: '06' oa: 1 oa_version: Published Version page: 3209-3218 publication: Nonlinear Dynamics publication_identifier: eissn: - 1573-269X issn: - 0924-090X publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Vortices nucleation by inherent fluctuations in nematic liquid crystal cells tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 108 year: '2022' ... --- _id: '11447' abstract: - lang: eng text: Empirical essays of fitness landscapes suggest that they may be rugged, that is having multiple fitness peaks. Such fitness landscapes, those that have multiple peaks, necessarily have special local structures, called reciprocal sign epistasis (Poelwijk et al. in J Theor Biol 272:141–144, 2011). Here, we investigate the quantitative relationship between the number of fitness peaks and the number of reciprocal sign epistatic interactions. Previously, it has been shown (Poelwijk et al. in J Theor Biol 272:141–144, 2011) that pairwise reciprocal sign epistasis is a necessary but not sufficient condition for the existence of multiple peaks. Applying discrete Morse theory, which to our knowledge has never been used in this context, we extend this result by giving the minimal number of reciprocal sign epistatic interactions required to create a given number of peaks. acknowledgement: We are grateful to Herbert Edelsbrunner and Jeferson Zapata for helpful discussions. Open access funding provided by Austrian Science Fund (FWF). Partially supported by the ERC Consolidator (771209–CharFL) and the FWF Austrian Science Fund (I5127-B) grants to FAK. article_number: '74' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Raimundo J full_name: Saona Urmeneta, Raimundo J id: BD1DF4C4-D767-11E9-B658-BC13E6697425 last_name: Saona Urmeneta orcid: 0000-0001-5103-038X - first_name: Fyodor full_name: Kondrashov, Fyodor id: 44FDEF62-F248-11E8-B48F-1D18A9856A87 last_name: Kondrashov orcid: 0000-0001-8243-4694 - first_name: Kseniia full_name: Khudiakova, Kseniia id: 4E6DC800-AE37-11E9-AC72-31CAE5697425 last_name: Khudiakova orcid: 0000-0002-6246-1465 citation: ama: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Bulletin of Mathematical Biology. 2022;84(8). doi:10.1007/s11538-022-01029-z apa: Saona Urmeneta, R. J., Kondrashov, F., & Khudiakova, K. (2022). Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Bulletin of Mathematical Biology. Springer Nature. https://doi.org/10.1007/s11538-022-01029-z chicago: Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.” Bulletin of Mathematical Biology. Springer Nature, 2022. https://doi.org/10.1007/s11538-022-01029-z. ieee: R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between the number of peaks and the number of reciprocal sign epistatic interactions,” Bulletin of Mathematical Biology, vol. 84, no. 8. Springer Nature, 2022. ista: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. 2022. Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Bulletin of Mathematical Biology. 84(8), 74. mla: Saona Urmeneta, Raimundo J., et al. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.” Bulletin of Mathematical Biology, vol. 84, no. 8, 74, Springer Nature, 2022, doi:10.1007/s11538-022-01029-z. short: R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical Biology 84 (2022). corr_author: '1' date_created: 2022-06-17T16:16:15Z date_published: 2022-06-17T00:00:00Z date_updated: 2026-06-12T12:43:34Z day: '17' ddc: - '510' - '570' department: - _id: GradSch - _id: NiBa - _id: JaMa doi: 10.1007/s11538-022-01029-z ec_funded: 1 external_id: isi: - '000812509800001' pmid: - '35713756' file: - access_level: open_access checksum: 05a1fe7d10914a00c2bca9b447993a65 content_type: application/pdf creator: dernst date_created: 2022-06-20T07:51:32Z date_updated: 2022-06-20T07:51:32Z file_id: '11455' file_name: 2022_BulletinMathBiology_Saona.pdf file_size: 463025 relation: main_file success: 1 file_date_updated: 2022-06-20T07:51:32Z fulldoi: https://doi.org/10.1007/s11538-022-01029-z has_accepted_license: '1' intvolume: ' 84' isi: 1 issue: '8' keyword: - Computational Theory and Mathematics - General Agricultural and Biological Sciences - Pharmacology - General Environmental Science - General Biochemistry - Genetics and Molecular Biology - General Mathematics - Immunology - General Neuroscience language: - iso: eng month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 26580278-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '771209' name: Characterizing the fitness landscape on population and global scales - _id: 34e076d6-11ca-11ed-8bc3-aec76c41a181 grant_number: I05127 name: Evolutionary analysis of gene regulation publication: Bulletin of Mathematical Biology publication_identifier: eissn: - 1522-9602 issn: - 0092-8240 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - relation: erratum url: https://doi.org/10.1007/s11538-022-01118-z record: - id: '21918' relation: dissertation_contains status: public scopus_import: '1' status: public title: Relation between the number of peaks and the number of reciprocal sign epistatic interactions tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 84 year: '2022' ... --- _id: '11556' abstract: - lang: eng text: "We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the\r\noscillations with respect to fluctuations and noise." acknowledgement: Zhores supercomputer of Skolkovo Institute of Science and Technology [68] has been used in the present research. S.A.M. was supported by Moscow Center for Fundamental and Applied Mathematics (the agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021). article_number: '111439' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Aleksei full_name: Kalinov, Aleksei id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02 last_name: Kalinov orcid: 0000-0003-2189-3904 - first_name: A.I. full_name: Osinskiy, A.I. last_name: Osinskiy - first_name: S.A. full_name: Matveev, S.A. last_name: Matveev - first_name: W. full_name: Otieno, W. last_name: Otieno - first_name: N.V. full_name: Brilliantov, N.V. last_name: Brilliantov citation: ama: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 2022;467. doi:10.1016/j.jcp.2022.111439 apa: Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., & Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2022.111439 chicago: Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” Journal of Computational Physics. Elsevier, 2022. https://doi.org/10.1016/j.jcp.2022.111439. ieee: A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov, “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,” Journal of Computational Physics, vol. 467. Elsevier, 2022. ista: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 467, 111439. mla: Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” Journal of Computational Physics, vol. 467, 111439, Elsevier, 2022, doi:10.1016/j.jcp.2022.111439. short: A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal of Computational Physics 467 (2022). date_created: 2022-07-11T12:19:59Z date_published: 2022-10-15T00:00:00Z date_updated: 2024-10-21T06:01:47Z day: '15' ddc: - '518' department: - _id: GradSch - _id: ChWo doi: 10.1016/j.jcp.2022.111439 external_id: arxiv: - '2103.09481' isi: - '000917225500013' fulldoi: https://doi.org/10.1016/j.jcp.2022.111439 intvolume: ' 467' isi: 1 keyword: - Computer Science Applications - Physics and Astronomy (miscellaneous) - Applied Mathematics - Computational Mathematics - Modeling and Simulation - Numerical Analysis language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2103.09481 month: '10' oa: 1 oa_version: Preprint publication: Journal of Computational Physics publication_identifier: issn: - 0021-9991 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 467 year: '2022' ... --- _id: '11717' abstract: - lang: eng text: "We study rigidity of rational maps that come from Newton's root finding method for polynomials of arbitrary degrees. We establish dynamical rigidity of these maps: each point in the Julia set of a Newton map is either rigid (i.e. its orbit can be distinguished in combinatorial terms from all other orbits), or the orbit of this point eventually lands in the filled-in Julia set of a polynomial-like restriction of the original map. As a corollary, we show that the Julia sets of Newton maps in many non-trivial cases are locally connected; in particular, every cubic Newton map without Siegel points has locally connected Julia set.\r\nIn the parameter space of Newton maps of arbitrary degree we obtain the following rigidity result: any two combinatorially equivalent Newton maps are quasiconformally conjugate in a neighborhood of their Julia sets provided that they either non-renormalizable, or they are both renormalizable “in the same way”.\r\nOur main tool is a generalized renormalization concept called “complex box mappings” for which we extend a dynamical rigidity result by Kozlovski and van Strien so as to include irrationally indifferent and renormalizable situations." acknowledgement: 'We are grateful to a number of colleagues for helpful and inspiring discussions during the time when we worked on this project, in particular Dima Dudko, Misha Hlushchanka, John Hubbard, Misha Lyubich, Oleg Kozlovski, and Sebastian van Strien. Finally, we would like to thank our dynamics research group for numerous helpful and enjoyable discussions: Konstantin Bogdanov, Roman Chernov, Russell Lodge, Steffen Maaß, David Pfrang, Bernhard Reinke, Sergey Shemyakov, and Maik Sowinski. We gratefully acknowledge support by the Advanced Grant “HOLOGRAM” (#695 621) of the European Research Council (ERC), as well as hospitality of Cornell University in the spring of 2018 while much of this work was prepared. The first-named author also acknowledges the support of the ERC Advanced Grant “SPERIG” (#885 707).' article_number: '108591' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Kostiantyn full_name: Drach, Kostiantyn id: fe8209e2-906f-11eb-847d-950f8fc09115 last_name: Drach orcid: 0000-0002-9156-8616 - first_name: Dierk full_name: Schleicher, Dierk last_name: Schleicher citation: ama: Drach K, Schleicher D. Rigidity of Newton dynamics. Advances in Mathematics. 2022;408(Part A). doi:10.1016/j.aim.2022.108591 apa: Drach, K., & Schleicher, D. (2022). Rigidity of Newton dynamics. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2022.108591 chicago: Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108591. ieee: K. Drach and D. Schleicher, “Rigidity of Newton dynamics,” Advances in Mathematics, vol. 408, no. Part A. Elsevier, 2022. ista: Drach K, Schleicher D. 2022. Rigidity of Newton dynamics. Advances in Mathematics. 408(Part A), 108591. mla: Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” Advances in Mathematics, vol. 408, no. Part A, 108591, Elsevier, 2022, doi:10.1016/j.aim.2022.108591. short: K. Drach, D. Schleicher, Advances in Mathematics 408 (2022). corr_author: '1' date_created: 2022-08-01T17:08:16Z date_published: 2022-10-29T00:00:00Z date_updated: 2025-04-14T07:53:45Z day: '29' ddc: - '510' department: - _id: VaKa doi: 10.1016/j.aim.2022.108591 ec_funded: 1 external_id: isi: - '000860924200005' file: - access_level: open_access checksum: 2710e6f5820f8c20a676ddcbb30f0e8d content_type: application/pdf creator: dernst date_created: 2023-02-02T07:39:09Z date_updated: 2023-02-02T07:39:09Z file_id: '12474' file_name: 2022_AdvancesMathematics_Drach.pdf file_size: 2164036 relation: main_file success: 1 file_date_updated: 2023-02-02T07:39:09Z fulldoi: https://doi.org/10.1016/j.aim.2022.108591 has_accepted_license: '1' intvolume: ' 408' isi: 1 issue: Part A keyword: - General Mathematics language: - iso: eng month: '10' oa: 1 oa_version: Published Version project: - _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A call_identifier: H2020 grant_number: '885707' name: Spectral rigidity and integrability for billiards and geodesic flows publication: Advances in Mathematics publication_identifier: issn: - 0001-8708 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Rigidity of Newton dynamics tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 408 year: '2022' ...