[{"intvolume":" 154","OA_place":"repository","quality_controlled":"1","doi":"10.1017/prm.2023.77","external_id":{"arxiv":["2304.07831"]},"date_created":"2026-06-19T08:22:51Z","date_updated":"2026-06-30T11:03:28Z","author":[{"first_name":"Loukas","full_name":"Grafakos, Loukas","last_name":"Grafakos"},{"first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","last_name":"Visan"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.07831","open_access":"1"}],"status":"public","publisher":"Cambridge University Press","title":"Remarks on countable subadditivity","abstract":[{"lang":"eng","text":"We discuss how countable subadditivity of operators can be derived from subadditivity under mild forms of continuity, and provide examples manifesting such circumstances."}],"OA_type":"green","das_tickbox":"1","article_processing_charge":"No","citation":{"chicago":"Grafakos, Loukas, and Monica Vişan. “Remarks on Countable Subadditivity.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press, 2024. https://doi.org/10.1017/prm.2023.77.","ieee":"L. Grafakos and M. Vişan, “Remarks on countable subadditivity,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 154, no. 5. Cambridge University Press, pp. 1504–1517, 2024.","ama":"Grafakos L, Vişan M. Remarks on countable subadditivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2024;154(5):1504-1517. doi:10.1017/prm.2023.77","apa":"Grafakos, L., & Vişan, M. (2024). Remarks on countable subadditivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2023.77","short":"L. Grafakos, M. Vişan, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 154 (2024) 1504–1517.","mla":"Grafakos, Loukas, and Monica Vişan. “Remarks on Countable Subadditivity.” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 154, no. 5, Cambridge University Press, 2024, pp. 1504–17, doi:10.1017/prm.2023.77.","ista":"Grafakos L, Vişan M. 2024. Remarks on countable subadditivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 154(5), 1504–1517."},"volume":154,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1473-7124"],"issn":["0308-2105"]},"oa_version":"Preprint","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","oa":1,"fulldoi":"https://doi.org/10.1017/prm.2023.77","arxiv":1,"publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","date_published":"2024-10-01T00:00:00Z","publication_status":"published","type":"journal_article","page":"1504-1517","scopus_import":"1","article_type":"original","month":"10","issue":"5","_id":"22074","year":"2024"},{"PlanS_conform":"1","month":"04","article_type":"original","scopus_import":"1","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"},"_id":"22079","year":"2024","article_number":"e6","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.1017/fmp.2024.4","oa":1,"has_accepted_license":"1","publication":"Forum of Mathematics, Pi","arxiv":1,"DOAJ_listed":"1","type":"journal_article","ddc":["500"],"publication_status":"published","date_published":"2024-04-02T00:00:00Z","OA_type":"gold","abstract":[{"lang":"eng","text":"We prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in H^s(R) for any regularity s > −1/2. Well-posedness has long been known for s ≥ 0, see [55], but not previously for any s < 0. The scaling-critical value s = −1/2 is necessarily excluded here, since instantaneous norm inflation is known to occur [11, 40, 48]. We also prove (in a parallel fashion) well-posedness of the real- and complex-valued modified Korteweg–de Vries equations in H^s(R) for any s > −1/2. The best regularity achieved previously was s ≥ 1/4 (see [15, 24, 33, 39]). To overcome the failure of uniform continuity of the data-to-solution map, we employ the method of commuting flows introduced in [37]. In stark contrast with our arguments in [37], an essential ingredient in this paper is the demonstration of a local smoothing effect for both equations. Despite the nonperturbative nature of the well-posedness, the gain of derivatives matches that of the underlying linear equation. To compensate for the local nature of the smoothing estimates, we also demonstrate tightness of orbits. The proofs of both local smoothing and tightness rely on our discovery of a new one-parameter family of coercive microscopic conservation laws that remain meaningful at this low regularity. "}],"title":"Sharp well-posedness for the cubic NLS and mKdV in H^s(R)","article_processing_charge":"No","das_tickbox":"1","language":[{"iso":"eng"}],"volume":12,"citation":{"apa":"Harrop-Griffiths, B., Killip, R., & Vişan, M. (2024). Sharp well-posedness for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2024.4","mla":"Harrop-Griffiths, Benjamin, et al. “Sharp Well-Posedness for the Cubic NLS and MKdV in H^s(R).” Forum of Mathematics, Pi, vol. 12, e6, Cambridge University Press, 2024, doi:10.1017/fmp.2024.4.","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, Forum of Mathematics, Pi 12 (2024).","chicago":"Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Sharp Well-Posedness for the Cubic NLS and MKdV in H^s(R).” Forum of Mathematics, Pi. Cambridge University Press, 2024. https://doi.org/10.1017/fmp.2024.4.","ieee":"B. Harrop-Griffiths, R. Killip, and M. Vişan, “Sharp well-posedness for the cubic NLS and mKdV in H^s(R),” Forum of Mathematics, Pi, vol. 12. Cambridge University Press, 2024.","ama":"Harrop-Griffiths B, Killip R, Vişan M. Sharp well-posedness for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. 2024;12. doi:10.1017/fmp.2024.4","ista":"Harrop-Griffiths B, Killip R, Vişan M. 2024. Sharp well-posedness for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. 12, e6."},"day":"02","publication_identifier":{"eissn":["2050-5086"]},"oa_version":"Published Version","external_id":{"arxiv":["2003.05011"]},"doi":"10.1017/fmp.2024.4","quality_controlled":"1","OA_place":"publisher","intvolume":" 12","date_updated":"2026-06-30T12:16:50Z","date_created":"2026-06-19T08:26:10Z","author":[{"last_name":"Harrop-Griffiths","full_name":"Harrop-Griffiths, Benjamin","first_name":"Benjamin"},{"full_name":"Killip, Rowan","last_name":"Killip","first_name":"Rowan"},{"first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan","full_name":"Visan, Monica"}],"status":"public","main_file_link":[{"url":"https://doi.org/10.1017/fmp.2024.4","open_access":"1"}],"publisher":"Cambridge University Press","mathsc":["35Q55","35Q53","37K10"]},{"month":"04","PlanS_conform":"1","scopus_import":"1","article_type":"original","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"},"_id":"22123","issue":"4","year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","fulldoi":"https://doi.org/10.5194/tc-18-1911-2024","oa":1,"has_accepted_license":"1","publication":"The Cryosphere","ddc":["550"],"DOAJ_listed":"1","type":"journal_article","page":"1911-1924","date_published":"2024-04-23T00:00:00Z","publication_status":"published","related_material":{"record":[{"relation":"earlier_version","id":"22125","status":"public"}]},"OA_type":"gold","title":"A 3D glacier dynamics–line plume model to estimate the frontal ablation of Hansbreen, Svalbard","abstract":[{"lang":"eng","text":"Frontal ablation is responsible for a large fraction of the mass loss from tidewater glaciers. The main contributors to frontal ablation are iceberg calving and submarine melting, with calving often being the largest. However, submarine melting, in addition to its direct contribution to mass loss, also promotes calving through the changes induced in the stress field at the glacier terminus, so both processes should be jointly analysed. Among the factors influencing submarine melting, the formation of a buoyant plume due to the emergence of fresh subglacial water at the glacier grounding line plays a key role. In this study we used Elmer/Ice to develop a 3D glacier dynamics model including calving and subglacial hydrology coupled with a line plume model to calculate the calving front position at every time step. We applied this model to the Hansbreen–Hansbukta glacier–fjord system in southern Spitsbergen, Svalbard, where a large set of data are available for both the glacier and the fjord from September 2008 to March 2011. We found that our 3D model reproduced the expected seasonal cycle of advance–retreat. Besides, the modelled front positions were in good agreement with the observed front positions at the central part of the calving front, with longitudinal differences, on average, below 15 m for the period from December 2009 to March 2011. But there were regions of the front, especially the eastern margin, that presented major differences."}],"article_processing_charge":"Yes","das_tickbox":"1","language":[{"iso":"eng"}],"citation":{"ista":"Muñoz Hermosilla JM, Otero J, De Andrés E, Shahateet K, Navarro F, Pérez-Doña I. 2024. A 3D glacier dynamics–line plume model to estimate the frontal ablation of Hansbreen, Svalbard. The Cryosphere. 18(4), 1911–1924.","ama":"Muñoz Hermosilla JM, Otero J, De Andrés E, Shahateet K, Navarro F, Pérez-Doña I. A 3D glacier dynamics–line plume model to estimate the frontal ablation of Hansbreen, Svalbard. The Cryosphere. 2024;18(4):1911-1924. doi:10.5194/tc-18-1911-2024","ieee":"J. M. Muñoz Hermosilla, J. Otero, E. De Andrés, K. Shahateet, F. Navarro, and I. Pérez-Doña, “A 3D glacier dynamics–line plume model to estimate the frontal ablation of Hansbreen, Svalbard,” The Cryosphere, vol. 18, no. 4. Copernicus Publications, pp. 1911–1924, 2024.","chicago":"Muñoz Hermosilla, José M, Jaime Otero, Eva De Andrés, Kaian Shahateet, Francisco Navarro, and Iván Pérez-Doña. “A 3D Glacier Dynamics–Line Plume Model to Estimate the Frontal Ablation of Hansbreen, Svalbard.” The Cryosphere. Copernicus Publications, 2024. https://doi.org/10.5194/tc-18-1911-2024.","short":"J.M. Muñoz Hermosilla, J. Otero, E. De Andrés, K. Shahateet, F. Navarro, I. Pérez-Doña, The Cryosphere 18 (2024) 1911–1924.","mla":"Muñoz Hermosilla, José M., et al. “A 3D Glacier Dynamics–Line Plume Model to Estimate the Frontal Ablation of Hansbreen, Svalbard.” The Cryosphere, vol. 18, no. 4, Copernicus Publications, 2024, pp. 1911–24, doi:10.5194/tc-18-1911-2024.","apa":"Muñoz Hermosilla, J. M., Otero, J., De Andrés, E., Shahateet, K., Navarro, F., & Pérez-Doña, I. (2024). A 3D glacier dynamics–line plume model to estimate the frontal ablation of Hansbreen, Svalbard. The Cryosphere. Copernicus Publications. https://doi.org/10.5194/tc-18-1911-2024"},"volume":18,"oa_version":"Published Version","publication_identifier":{"eissn":["1994-0424"]},"day":"23","quality_controlled":"1","doi":"10.5194/tc-18-1911-2024","intvolume":" 18","OA_place":"publisher","author":[{"orcid":"0000-0002-1990-8508","first_name":"José M","full_name":"Muñoz Hermosilla, José M","last_name":"Muñoz Hermosilla","id":"e1037a6d-646e-11ef-b402-e0ed9ab0901e"},{"first_name":"Jaime","full_name":"Otero, Jaime","last_name":"Otero"},{"first_name":"Eva","last_name":"De Andrés","full_name":"De Andrés, Eva"},{"first_name":"Kaian","full_name":"Shahateet, Kaian","last_name":"Shahateet"},{"last_name":"Navarro","full_name":"Navarro, Francisco","first_name":"Francisco"},{"first_name":"Iván","last_name":"Pérez-Doña","full_name":"Pérez-Doña, Iván"}],"date_created":"2026-06-22T12:18:27Z","date_updated":"2026-07-02T07:13:15Z","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5194/tc-18-1911-2024"}],"publisher":"Copernicus Publications"},{"das_tickbox":"1","article_processing_charge":"No","title":"Practical batch proofs of exponentiation","abstract":[{"text":"A Proof of Exponentiation (PoE) allows a prover to efficiently convince a verifier that 𝑦 = 𝑥\r\n𝑒\r\nin some group of unknown order. PoEs\r\nare the basis for practical constructions of Verifiable Delay Functions (VDFs), which, in turn, are important for various higher-level\r\nprotocols in distributed computing. In applications such as distributed consensus, many PoEs are generated regularly, motivating\r\nprotocols for secure aggregation of batches of statements into a\r\nfew statements to improve the efficiency for both parties. Rotem\r\n(TCC 2021) recently presented two such generic batch PoEs.\r\nIn this work, we introduce two batch PoEs that outperform\r\nboth proposals of Rotem and we evaluate their practicality. First,\r\nwe show that the two batch PoEs of Rotem can be combined to\r\nimprove the overall efficiency by at least a factor of two. Second, we\r\nrevisit the work of Bellare, Garay, and Rabin (EUROCRYPT 1998)\r\non batch verification of digital signatures and show that, under the\r\nlow order assumption, their bucket test can be securely adapted to\r\nthe setting of groups of unknown order. The resulting batch PoE\r\nquickly outperforms the state of the art in the expected number of\r\ngroup multiplications with the growing number of instances, and it\r\ndecreases the cost of batching by an order of magnitude already for\r\nhundreds of thousands of instances. Importantly, it is the first batch\r\nPoE that significantly decreases both the proof size and complexity\r\nof verification. Our experimental evaluations show that even a nonoptimized implementation achieves such improvements, which\r\nwould match the demands of real-life systems requiring large-scale\r\nPoE processing.\r\nFinally, even though our proof techniques are conceptually similar to Rotem, we give an improved analysis of the application of the\r\nlow order assumption towards secure batching of PoE instances,\r\nresulting in a tight reduction, which is important when setting the\r\nsecurity parameter in practice.","lang":"eng"}],"acknowledgement":"Pavel Hubáček was supported by the Institute of Mathematics, Czech Academy of Sciences (RVO 67985840).","related_material":{"record":[{"status":"public","id":"20920","relation":"dissertation_contains"},{"status":"public","id":"20556","relation":"dissertation_contains"}]},"OA_type":"green","oa_version":"Preprint","day":"02","citation":{"ista":"Hoffmann C, Hubáček P, Ivanova S. Practical batch proofs of exponentiation. Cryptology ePrint Archive, 2024/145.","chicago":"Hoffmann, Charlotte, Pavel Hubáček, and Svetlana Ivanova. “Practical Batch Proofs of Exponentiation.” Cryptology EPrint Archive. International Association for Cryptologic Research, n.d.","ieee":"C. Hoffmann, P. Hubáček, and S. Ivanova, “Practical batch proofs of exponentiation,” Cryptology ePrint Archive. International Association for Cryptologic Research.","ama":"Hoffmann C, Hubáček P, Ivanova S. Practical batch proofs of exponentiation. Cryptology ePrint Archive.","apa":"Hoffmann, C., Hubáček, P., & Ivanova, S. (n.d.). Practical batch proofs of exponentiation. Cryptology ePrint Archive. International Association for Cryptologic Research.","short":"C. Hoffmann, P. Hubáček, S. Ivanova, Cryptology EPrint Archive (n.d.).","mla":"Hoffmann, Charlotte, et al. “Practical Batch Proofs of Exponentiation.” Cryptology EPrint Archive, 2024/145, International Association for Cryptologic Research."},"language":[{"iso":"eng"}],"author":[{"first_name":"Charlotte","full_name":"Hoffmann, Charlotte","last_name":"Hoffmann","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","orcid":"0000-0003-2027-5549"},{"first_name":"Pavel","last_name":"Hubáček","full_name":"Hubáček, Pavel"},{"full_name":"Ivanova, Svetlana","last_name":"Ivanova","first_name":"Svetlana"}],"date_created":"2025-11-27T10:13:38Z","date_updated":"2026-07-06T13:15:28Z","OA_place":"repository","department":[{"_id":"KrPi"}],"corr_author":"1","external_id":{"cryptoeprintid":["2024/145"]},"publisher":"International Association for Cryptologic Research","main_file_link":[{"url":"https://eprint.iacr.org/2024/145","open_access":"1"}],"status":"public","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":"02","article_number":"2024/145","year":"2024","_id":"20701","cryptoeprintid":1,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2024-02-02T00:00:00Z","publication_status":"draft","type":"preprint","publication":"Cryptology ePrint Archive"},{"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","year":"2024","_id":"22154","issue":"10","fulldoi":"https://doi.org/10.1112/blms.13127","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","type":"journal_article","ddc":["500"],"page":"3196-3208","date_published":"2024-10-01T00:00:00Z","publication_status":"published","arxiv":1,"publication":"Bulletin of the London Mathematical Society","article_processing_charge":"Yes (via OA deal)","OA_type":"hybrid","acknowledgement":"Open access funding provided by Eidgenossische Technische Hochschule Zurich.","title":"The inertia bound is far from tight","abstract":[{"text":"The inertia bound and ratio bound (also known as the Cvetković bound and Hoffman bound) are two fundamental inequalities in spectral graph theory, giving upper bounds on the independence number a(G) of a graph G in terms of spectral information about a weighted adjacency matrix of G. For both inequalities, given a graph G, one needs to make a judicious choice of weighted adjacency matrix to obtain as strong a bound as possible. While there is a well‐established theory surrounding the ratio bound, the inertia bound is much more mysterious, and its limits are rather unclear. In fact, only recently did Sinkovic find the first example of a graph for which the inertia bound is not tight (for any weighted adjacency matrix), answering a longstanding question of Godsil. We show that the inertia bound can be extremely far from tight, and in fact can significantly underperform the ratio bound: for example, one of our results is that for infinitely many n, there is an n‐vertex graph for which even the unweighted ratio bound can prove a(G)<4n^3/4, but the inertia bound is always at least n/4. In particular, these results address questions of Rooney, Sinkovic, and Wocjan–Elphick–Abiad.","lang":"eng"}],"publication_identifier":{"issn":["0024-6093"],"eissn":["1469-2120"]},"oa_version":"Published Version","day":"01","language":[{"iso":"eng"}],"citation":{"apa":"Kwan, M., & Wigderson, Y. (2024). The inertia bound is far from tight. Bulletin of the London Mathematical Society. Wiley. https://doi.org/10.1112/blms.13127","mla":"Kwan, Matthew, and Yuval Wigderson. “The Inertia Bound Is Far from Tight.” Bulletin of the London Mathematical Society, vol. 56, no. 10, Wiley, 2024, pp. 3196–208, doi:10.1112/blms.13127.","short":"M. Kwan, Y. Wigderson, Bulletin of the London Mathematical Society 56 (2024) 3196–3208.","chicago":"Kwan, Matthew, and Yuval Wigderson. “The Inertia Bound Is Far from Tight.” Bulletin of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/blms.13127.","ieee":"M. Kwan and Y. Wigderson, “The inertia bound is far from tight,” Bulletin of the London Mathematical Society, vol. 56, no. 10. Wiley, pp. 3196–3208, 2024.","ama":"Kwan M, Wigderson Y. The inertia bound is far from tight. Bulletin of the London Mathematical Society. 2024;56(10):3196-3208. doi:10.1112/blms.13127","ista":"Kwan M, Wigderson Y. 2024. The inertia bound is far from tight. Bulletin of the London Mathematical Society. 56(10), 3196–3208."},"volume":56,"date_created":"2026-06-29T10:49:18Z","date_updated":"2026-07-08T07:34:36Z","author":[{"full_name":"Kwan, Matthew","last_name":"Kwan","first_name":"Matthew"},{"full_name":"Wigderson, Yuval","last_name":"Wigderson","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval"}],"quality_controlled":"1","doi":"10.1112/blms.13127","external_id":{"arxiv":["2312.04925"]},"OA_place":"publisher","intvolume":" 56","publisher":"Wiley","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1112/blms.13127"}]},{"fulldoi":"https://doi.org/10.1007/s11856-024-2624-y","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","type":"journal_article","page":"1-48","date_published":"2024-10-01T00:00:00Z","publication_status":"published","arxiv":1,"publication":"Israel Journal of Mathematics","month":"10","scopus_import":"1","article_type":"original","year":"2024","_id":"22179","issue":"1","date_updated":"2026-07-14T09:08:32Z","author":[{"last_name":"Fox","full_name":"Fox, Jacob","first_name":"Jacob"},{"full_name":"He, Xiaoyu","last_name":"He","first_name":"Xiaoyu"},{"last_name":"Wigderson","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","full_name":"Wigderson, Yuval","first_name":"Yuval"}],"date_created":"2026-06-29T10:59:02Z","quality_controlled":"1","doi":"10.1007/s11856-024-2624-y","external_id":{"arxiv":["2105.02383"]},"OA_place":"repository","intvolume":" 263","publisher":"Springer Nature","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2105.02383"}],"article_processing_charge":"No","OA_type":"green","title":"Ramsey numbers of sparse digraphs","abstract":[{"text":"Burr and Erd˝os in 1975 conjectured, and Chv´atal, R¨odl, Szemer´edi and\r\nTrotter later proved, that the Ramsey number of any bounded degree\r\ngraph is linear in the number of vertices. In this paper, we disprove\r\nthe natural directed analogue of the Burr–Erd˝os conjecture, answering a\r\nquestion of Buci´c, Letzter, and Sudakov. If H is an acyclic digraph, the\r\noriented Ramsey number of H, denoted −→r1(H), is the least N such that\r\nevery tournament on N vertices contains a copy of H. We show that for\r\nany Δ ≥ 2 and any sufficiently large n, there exists an acyclic digraph H\r\nwith n vertices and maximum degree Δ such that\r\n−→r1(H) ≥ nΩ(Δ2/3/ log5/3 Δ).\r\nThis proves that −→r1(H) is not always linear in the number of vertices for\r\nbounded-degree H. On the other hand, we show that −→r1(H) is nearly linear\r\nin the number of vertices for typical bounded-degree acyclic digraphs H,\r\nand obtain linear or nearly linear bounds for several natural families of\r\nbounded-degree acyclic digraphs.\r\nFor multiple colors, we prove a quasi-polynomial upper bound −→rk(H)=\r\n2(log n)Ok(1) for all bounded-degree acyclic digraphs H on n vertices, where −→rk(H) is the least N such that every k-edge-colored tournament on N\r\nvertices contains a monochromatic copy of H. For k ≥ 2 and n ≥ 4, we\r\nexhibit an acyclic digraph H with n vertices and maximum degree 3 such\r\nthat −→rk(H) ≥ nΩ(log n/ log log n), showing that these Ramsey numbers can\r\ngrow faster than any polynomial in the number of vertices.","lang":"eng"}],"publication_identifier":{"issn":["0021-2172"],"eissn":["1565-8511"]},"oa_version":"Preprint","day":"01","language":[{"iso":"eng"}],"citation":{"ista":"Fox J, He X, Wigderson Y. 2024. Ramsey numbers of sparse digraphs. Israel Journal of Mathematics. 263(1), 1–48.","chicago":"Fox, Jacob, Xiaoyu He, and Yuval Wigderson. “Ramsey Numbers of Sparse Digraphs.” Israel Journal of Mathematics. Springer Nature, 2024. https://doi.org/10.1007/s11856-024-2624-y.","ieee":"J. Fox, X. He, and Y. Wigderson, “Ramsey numbers of sparse digraphs,” Israel Journal of Mathematics, vol. 263, no. 1. Springer Nature, pp. 1–48, 2024.","ama":"Fox J, He X, Wigderson Y. Ramsey numbers of sparse digraphs. Israel Journal of Mathematics. 2024;263(1):1-48. doi:10.1007/s11856-024-2624-y","apa":"Fox, J., He, X., & Wigderson, Y. (2024). Ramsey numbers of sparse digraphs. Israel Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s11856-024-2624-y","mla":"Fox, Jacob, et al. “Ramsey Numbers of Sparse Digraphs.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Nature, 2024, pp. 1–48, doi:10.1007/s11856-024-2624-y.","short":"J. Fox, X. He, Y. Wigderson, Israel Journal of Mathematics 263 (2024) 1–48."},"volume":263},{"external_id":{"unknown":["2208.11181"]},"doi":"10.1002/jgt.23093","quality_controlled":"1","intvolume":" 106","OA_place":"repository","date_updated":"2026-07-14T09:10:28Z","author":[{"first_name":"Yuval","full_name":"Wigderson, Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","last_name":"Wigderson"}],"date_created":"2026-06-29T10:59:24Z","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2208.11181"}],"publisher":"Wiley","OA_type":"green","abstract":[{"lang":"eng","text":"Given a graph , its Ramsey number is the minimum so that every two‐coloring of contains a monochromatic copy of . It was conjectured by Conlon, Fox, and Sudakov that if one deletes a single vertex from , the Ramsey number can change by at most a constant factor. We disprove this conjecture, exhibiting an infinite family of graphs such that deleting a single vertex from each decreases the Ramsey number by a super‐constant factor. One consequence of this result is the following. There exists a family of graphs so that in any Ramsey coloring for (i.e., a coloring of a clique on vertices with no monochromatic copy of ), one of the color classes has density ."}],"title":"Ramsey numbers upon vertex deletion","article_processing_charge":"No","language":[{"iso":"eng"}],"volume":106,"citation":{"ista":"Wigderson Y. 2024. Ramsey numbers upon vertex deletion. Journal of Graph Theory. 106(3), 663–675.","short":"Y. Wigderson, Journal of Graph Theory 106 (2024) 663–675.","mla":"Wigderson, Yuval. “Ramsey Numbers upon Vertex Deletion.” Journal of Graph Theory, vol. 106, no. 3, Wiley, 2024, pp. 663–75, doi:10.1002/jgt.23093.","apa":"Wigderson, Y. (2024). Ramsey numbers upon vertex deletion. Journal of Graph Theory. Wiley. https://doi.org/10.1002/jgt.23093","ama":"Wigderson Y. Ramsey numbers upon vertex deletion. Journal of Graph Theory. 2024;106(3):663-675. doi:10.1002/jgt.23093","ieee":"Y. Wigderson, “Ramsey numbers upon vertex deletion,” Journal of Graph Theory, vol. 106, no. 3. Wiley, pp. 663–675, 2024.","chicago":"Wigderson, Yuval. “Ramsey Numbers upon Vertex Deletion.” Journal of Graph Theory. Wiley, 2024. https://doi.org/10.1002/jgt.23093."},"day":"01","oa_version":"Preprint","publication_identifier":{"issn":["0364-9024"],"eissn":["1097-0118"]},"extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"fulldoi":"https://doi.org/10.1002/jgt.23093","publication":"Journal of Graph Theory","page":"663-675","type":"journal_article","publication_status":"published","date_published":"2024-07-01T00:00:00Z","month":"07","article_type":"original","scopus_import":"1","_id":"22180","issue":"3","year":"2024"},{"_id":"22190","issue":"4","year":"2024","month":"01","scopus_import":"1","article_type":"original","publication":"Forum Mathematicum","arxiv":1,"type":"journal_article","publication_status":"published","date_published":"2024-01-01T00:00:00Z","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.1515/forum-2024-0114","oa":1,"language":[{"iso":"eng"}],"volume":37,"citation":{"ista":"Afifurrahman M, Kuperberg VZ, Ostafe A, Shparlinski IE. 2024. Statistics of ranks, determinants and characteristic polynomials of rational matrices. Forum Mathematicum. 37(4).","mla":"Afifurrahman, Muhammad, et al. “Statistics of Ranks, Determinants and Characteristic Polynomials of Rational Matrices.” Forum Mathematicum, vol. 37, no. 4, De Gruyter, 2024, doi:10.1515/forum-2024-0114.","short":"M. Afifurrahman, V.Z. Kuperberg, A. Ostafe, I.E. Shparlinski, Forum Mathematicum 37 (2024).","apa":"Afifurrahman, M., Kuperberg, V. Z., Ostafe, A., & Shparlinski, I. E. (2024). Statistics of ranks, determinants and characteristic polynomials of rational matrices. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2024-0114","ama":"Afifurrahman M, Kuperberg VZ, Ostafe A, Shparlinski IE. Statistics of ranks, determinants and characteristic polynomials of rational matrices. Forum Mathematicum. 2024;37(4). doi:10.1515/forum-2024-0114","ieee":"M. Afifurrahman, V. Z. Kuperberg, A. Ostafe, and I. E. Shparlinski, “Statistics of ranks, determinants and characteristic polynomials of rational matrices,” Forum Mathematicum, vol. 37, no. 4. De Gruyter, 2024.","chicago":"Afifurrahman, Muhammad, Vivian Zieve Kuperberg, Alina Ostafe, and Igor E. Shparlinski. “Statistics of Ranks, Determinants and Characteristic Polynomials of Rational Matrices.” Forum Mathematicum. De Gruyter, 2024. https://doi.org/10.1515/forum-2024-0114."},"publication_identifier":{"eissn":["1435-5337"],"issn":["0933-7741"]},"oa_version":"Preprint","OA_type":"green","abstract":[{"text":"We consider the set of 𝑚×𝑛 matrices with rational entries having numerator and denominator of size at most H and obtain various upper bounds on the number of such matrices of a given rank, or with a given determinant, or a given characteristic polynomial. We also consider similar questions for matrices whose entries are Egyptian fractions.","lang":"eng"}],"title":"Statistics of ranks, determinants and characteristic polynomials of rational matrices","article_processing_charge":"No","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2401.10086","open_access":"1"}],"publisher":"De Gruyter","mathsc":["11C20","15B36","15B52"],"external_id":{"arxiv":["2401.10086"]},"quality_controlled":"1","doi":"10.1515/forum-2024-0114","OA_place":"repository","intvolume":" 37","author":[{"full_name":"Afifurrahman, Muhammad","last_name":"Afifurrahman","first_name":"Muhammad"},{"first_name":"Vivian Zieve","id":"c3bac823-112d-11f0-a3f5-c264f852e697","full_name":"Kuperberg, Vivian Zieve","last_name":"Kuperberg"},{"full_name":"Ostafe, Alina","last_name":"Ostafe","first_name":"Alina"},{"full_name":"Shparlinski, Igor E.","last_name":"Shparlinski","first_name":"Igor E."}],"date_created":"2026-06-29T12:55:47Z","date_updated":"2026-07-14T10:48:41Z"},{"OA_type":"green","title":"Consecutive runs of sums of two squares","abstract":[{"lang":"eng","text":"We study the distribution of consecutive sums of two squares\r\nin arithmetic progressions. If {En}n∈N is the sequence of\r\nsums of two squares in increasing order, we show that for\r\nany modulus q and any congruence classes a1, a2, a3 mod q\r\nwhich are admissible in the sense that there are solutions\r\nto x2 + y2 ≡ ai mod q, there exist infinitely many n with\r\nEn+i−1 ≡ ai mod q, for i =1, 2, 3. We also show that for\r\nany r1, r2 ≥ 1, there exist infinitely many n with En+i−1 ≡\r\na1 mod q for 1 ≤ i ≤ r1 and En+i−1 ≡ a2 mod q for\r\nr1 +1 ≤ i ≤ r1 + r2"}],"article_processing_charge":"No","language":[{"iso":"eng"}],"citation":{"short":"N. Kimmel, V.Z. Kuperberg, Journal of Number Theory 264 (2024) 135–147.","mla":"Kimmel, Noam, and Vivian Zieve Kuperberg. “Consecutive Runs of Sums of Two Squares.” Journal of Number Theory, vol. 264, Elsevier, 2024, pp. 135–47, doi:10.1016/j.jnt.2024.05.003.","apa":"Kimmel, N., & Kuperberg, V. Z. (2024). Consecutive runs of sums of two squares. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2024.05.003","ama":"Kimmel N, Kuperberg VZ. Consecutive runs of sums of two squares. Journal of Number Theory. 2024;264:135-147. doi:10.1016/j.jnt.2024.05.003","ieee":"N. Kimmel and V. Z. Kuperberg, “Consecutive runs of sums of two squares,” Journal of Number Theory, vol. 264. Elsevier, pp. 135–147, 2024.","chicago":"Kimmel, Noam, and Vivian Zieve Kuperberg. “Consecutive Runs of Sums of Two Squares.” Journal of Number Theory. Elsevier, 2024. https://doi.org/10.1016/j.jnt.2024.05.003.","ista":"Kimmel N, Kuperberg VZ. 2024. Consecutive runs of sums of two squares. Journal of Number Theory. 264, 135–147."},"volume":264,"oa_version":"Preprint","publication_identifier":{"issn":["0022-314X"]},"day":"01","quality_controlled":"1","doi":"10.1016/j.jnt.2024.05.003","external_id":{"arxiv":["2306.12855"]},"OA_place":"repository","intvolume":" 264","author":[{"full_name":"Kimmel, Noam","last_name":"Kimmel","first_name":"Noam"},{"first_name":"Vivian Zieve","full_name":"Kuperberg, Vivian Zieve","id":"c3bac823-112d-11f0-a3f5-c264f852e697","last_name":"Kuperberg"}],"date_created":"2026-06-29T12:58:28Z","date_updated":"2026-07-14T11:10:45Z","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.12855"}],"publisher":"Elsevier","month":"11","article_type":"original","scopus_import":"1","_id":"22197","year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","fulldoi":"https://doi.org/10.1016/j.jnt.2024.05.003","arxiv":1,"publication":"Journal of Number Theory","type":"journal_article","page":"135-147","date_published":"2024-11-01T00:00:00Z","publication_status":"published"},{"date_created":"2026-06-30T06:31:09Z","date_updated":"2026-07-15T06:27:28Z","author":[{"full_name":"Fernández-Rico, Carla","id":"492def71-6250-11f0-b278-d41dbd241b62","last_name":"Fernández-Rico","first_name":"Carla"},{"first_name":"Roel P A","last_name":"Dullens","full_name":"Dullens, Roel P A"}],"external_id":{"pmid":["38996410"]},"quality_controlled":"1","doi":"10.1088/1361-6633/ad627b","OA_place":"publisher","intvolume":" 87","publisher":"IOP Publishing","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1088/1361-6633/ad627b"}],"article_processing_charge":"No","OA_type":"hybrid","abstract":[{"text":"The curvature of elongated microscopic building blocks plays a crucial role on their self-assembly into orientationally ordered phases. While rod-like molecules form a handful of liquid crystal (LC) phases, curved or banana-shaped molecules show more than fifty phases, with fascinating physical properties, such as chirality or polarity. Despite the fundamental and technological importance of these so-called ‘banana-shaped liquid crystals’, little is known about their microscopic details at the single-molecule level. Curved colloidal liquid crystals—liquid crystals formed by curved colloidal rods—are excellent model systems to optically resolve the structure and dynamics of curved building blocks within these condensed phases. Recent advances in the synthesis of curved rod-like particles have unlocked the potential for studying—at the single-particle level—the intimate relationship between shape and phase symmetry, and even confirmed the stability of elusive LC phases. Further developments in this nascent field promise exciting findings, such as the first observation of the colloidal twist-bend nematic phase or the fabrication of functional materials with curvature-dependent properties. In this Report on Progress, we will highlight recent advances in the synthesis and assembly of curved colloidal liquid crystals and discuss the upcoming challenges and opportunities of this field.","lang":"eng"}],"title":"Liquid crystals from curved colloidal rods: Waves, twists and more","day":"12","publication_identifier":{"eissn":["1361-6633"],"issn":["0034-4885"]},"oa_version":"Published Version","language":[{"iso":"eng"}],"volume":87,"citation":{"ieee":"C. Fernández-Rico and R. P. A. Dullens, “Liquid crystals from curved colloidal rods: Waves, twists and more,” Reports on Progress in Physics, vol. 87, no. 9. IOP Publishing, 2024.","chicago":"Fernández-Rico, Carla, and Roel P A Dullens. “Liquid Crystals from Curved Colloidal Rods: Waves, Twists and More.” Reports on Progress in Physics. IOP Publishing, 2024. https://doi.org/10.1088/1361-6633/ad627b.","ama":"Fernández-Rico C, Dullens RPA. Liquid crystals from curved colloidal rods: Waves, twists and more. Reports on Progress in Physics. 2024;87(9). doi:10.1088/1361-6633/ad627b","apa":"Fernández-Rico, C., & Dullens, R. P. A. (2024). Liquid crystals from curved colloidal rods: Waves, twists and more. Reports on Progress in Physics. IOP Publishing. https://doi.org/10.1088/1361-6633/ad627b","short":"C. Fernández-Rico, R.P.A. Dullens, Reports on Progress in Physics 87 (2024).","mla":"Fernández-Rico, Carla, and Roel P. A. Dullens. “Liquid Crystals from Curved Colloidal Rods: Waves, Twists and More.” Reports on Progress in Physics, vol. 87, no. 9, 094601, IOP Publishing, 2024, doi:10.1088/1361-6633/ad627b.","ista":"Fernández-Rico C, Dullens RPA. 2024. Liquid crystals from curved colloidal rods: Waves, twists and more. Reports on Progress in Physics. 87(9), 094601."},"fulldoi":"https://doi.org/10.1088/1361-6633/ad627b","oa":1,"extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["540"],"type":"journal_article","publication_status":"published","date_published":"2024-08-12T00:00:00Z","has_accepted_license":"1","publication":"Reports on Progress in Physics","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"},"PlanS_conform":"1","month":"08","article_type":"review","scopus_import":"1","year":"2024","article_number":"094601","_id":"22209","pmid":1,"issue":"9"},{"_id":"22219","year":"2024","article_type":"original","scopus_import":"1","month":"01","publication":"Nature Materials","arxiv":1,"publication_status":"published","date_published":"2024-01-01T00:00:00Z","page":"124-130","type":"journal_article","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.1038/s41563-023-01703-0","oa":1,"volume":23,"citation":{"mla":"Fernández-Rico, Carla, et al. “Elastic Microphase Separation Produces Robust Bicontinuous Materials.” Nature Materials, vol. 23, Springer Nature, 2024, pp. 124–30, doi:10.1038/s41563-023-01703-0.","short":"C. Fernández-Rico, S. Schreiber, H. Oudich, C. Lorenz, A. Sicher, T. Sai, V. Bauernfeind, S. Heyden, P. Carrara, L.D. Lorenzis, R.W. Style, E.R. Dufresne, Nature Materials 23 (2024) 124–130.","apa":"Fernández-Rico, C., Schreiber, S., Oudich, H., Lorenz, C., Sicher, A., Sai, T., … Dufresne, E. R. (2024). Elastic microphase separation produces robust bicontinuous materials. Nature Materials. Springer Nature. https://doi.org/10.1038/s41563-023-01703-0","ama":"Fernández-Rico C, Schreiber S, Oudich H, et al. Elastic microphase separation produces robust bicontinuous materials. Nature Materials. 2024;23:124-130. doi:10.1038/s41563-023-01703-0","chicago":"Fernández-Rico, Carla, Sanjay Schreiber, Hamza Oudich, Charlotta Lorenz, Alba Sicher, Tianqi Sai, Viola Bauernfeind, et al. “Elastic Microphase Separation Produces Robust Bicontinuous Materials.” Nature Materials. Springer Nature, 2024. https://doi.org/10.1038/s41563-023-01703-0.","ieee":"C. Fernández-Rico et al., “Elastic microphase separation produces robust bicontinuous materials,” Nature Materials, vol. 23. Springer Nature, pp. 124–130, 2024.","ista":"Fernández-Rico C, Schreiber S, Oudich H, Lorenz C, Sicher A, Sai T, Bauernfeind V, Heyden S, Carrara P, Lorenzis LD, Style RW, Dufresne ER. 2024. Elastic microphase separation produces robust bicontinuous materials. Nature Materials. 23, 124–130."},"language":[{"iso":"eng"}],"day":"01","oa_version":"Preprint","publication_identifier":{"issn":["1476-1122"],"eissn":["1476-4660"]},"abstract":[{"text":"Bicontinuous microstructures are essential to the function of diverse natural and synthetic systems. Their synthesis has been based on two approaches: arrested phase separation or self-assembly of block copolymers. The former is attractive for its chemical simplicity and the latter, for its thermodynamic robustness. Here we introduce elastic microphase separation (EMPS) as an alternative approach to make bicontinuous microstructures. Conceptually, EMPS balances the molecular-scale forces that drive demixing with large-scale elasticity to encode a thermodynamic length scale. This process features a continuous phase transition, reversible without hysteresis. Practically, EMPS is triggered by simply supersaturating an elastomeric matrix with a liquid, resulting in uniform bicontinuous materials with a well-defined microscopic length scale tuned by the matrix stiffness. The versatility of EMPS is further demonstrated by fabricating bicontinuous materials with superior mechanical properties and controlled anisotropy and microstructural gradients. Overall, EMPS presents a robust alternative for the bulk fabrication of homogeneous bicontinuous materials.","lang":"eng"}],"title":"Elastic microphase separation produces robust bicontinuous materials","OA_type":"green","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2304.11419"}],"status":"public","publisher":"Springer Nature","OA_place":"repository","intvolume":" 23","external_id":{"arxiv":["2304.11419"]},"doi":"10.1038/s41563-023-01703-0","quality_controlled":"1","author":[{"first_name":"Carla","last_name":"Fernández-Rico","full_name":"Fernández-Rico, Carla","id":"492def71-6250-11f0-b278-d41dbd241b62"},{"first_name":"Sanjay","full_name":"Schreiber, Sanjay","last_name":"Schreiber"},{"last_name":"Oudich","full_name":"Oudich, Hamza","first_name":"Hamza"},{"full_name":"Lorenz, Charlotta","last_name":"Lorenz","first_name":"Charlotta"},{"first_name":"Alba","full_name":"Sicher, Alba","last_name":"Sicher"},{"full_name":"Sai, Tianqi","last_name":"Sai","first_name":"Tianqi"},{"full_name":"Bauernfeind, Viola","last_name":"Bauernfeind","first_name":"Viola"},{"last_name":"Heyden","full_name":"Heyden, Stefanie","first_name":"Stefanie"},{"last_name":"Carrara","full_name":"Carrara, Pietro","first_name":"Pietro"},{"last_name":"Lorenzis","full_name":"Lorenzis, Laura De","first_name":"Laura De"},{"first_name":"Robert W.","last_name":"Style","full_name":"Style, Robert W."},{"full_name":"Dufresne, Eric R.","last_name":"Dufresne","first_name":"Eric R."}],"date_created":"2026-06-30T06:36:39Z","date_updated":"2026-07-15T08:23:05Z"},{"article_processing_charge":"No","abstract":[{"text":"We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of band degeneracies. By adiabatically varying the periodic kicks to the rotor we find nodal-line braiding, which causes sign flips of topological charges of band nodes and can prevent them from annihilating, indicated by non-zero values of the %non-Abelian patch Euler class. In particular, we report\r\non the emergence of an anomalous Dirac string phase arising in the strongly driven regime, a truly out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding processes involving all (quasienergy) gaps and manifests itself with edge states at zero angular momentum. Our results reveal direct applications in state-of-the-art experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant laser pulses or artificial\r\nquantum rotors in optical lattices, whose extensive versatility offers precise modification and observation of novel non-Abelian topological properties. ","lang":"eng"}],"title":"Anomalous multi-gap topological phases in periodically driven quantum rotors","acknowledgement":"We thank G. M. Koutentakis, S. Wimberger, J. G. E. Harris, T. Enss and A. Ghazaryan for fruitful discussions. M.L. acknowledges support by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). R.-J. S. acknowledges funding from a EPSRC ERC underwrite grant EP/X025829/1, a EPSRC New Investigator Award grant EP/W00187X/1, as well as Trinity College, Cambridge. F.N.U. acknowledges support from the Marie ¨Sk lodowska-Curie programme of the European Commission [Grant No. 893915], Simons Investigator Award\r\n[Grant No. 511029] and Trinity College Cambridge.","related_material":{"record":[{"relation":"dissertation_contains","id":"19393","status":"public"},{"relation":"later_version","status":"public","id":"21009"}]},"OA_type":"green","day":"29","oa_version":"Preprint","citation":{"short":"V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, F.N. Ünal, ArXiv (n.d.).","mla":"Karle, Volker, et al. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum Rotors.” ArXiv, 2408.16848, doi:10.48550/arXiv.2408.16848.","apa":"Karle, V., Lemeshko, M., Bouhon, A., Slager, R.-J., & Ünal, F. N. (n.d.). Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv. https://doi.org/10.48550/arXiv.2408.16848","ama":"Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv. doi:10.48550/arXiv.2408.16848","chicago":"Karle, Volker, Mikhail Lemeshko, Adrien Bouhon, Robert-Jan Slager, and F. Nur Ünal. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum Rotors.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16848.","ieee":"V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, and F. N. Ünal, “Anomalous multi-gap topological phases in periodically driven quantum rotors,” arXiv. .","ista":"Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological phases in periodically driven quantum rotors. arXiv, 2408.16848."},"language":[{"iso":"eng"}],"date_updated":"2026-07-29T08:59:31Z","date_created":"2025-03-20T07:48:23Z","author":[{"orcid":"0000-0002-6963-0129","first_name":"Volker","last_name":"Karle","full_name":"Karle, Volker","id":"D7C012AE-D7ED-11E9-95E8-1EC5E5697425"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802"},{"first_name":"Adrien","full_name":"Bouhon, Adrien","last_name":"Bouhon"},{"last_name":"Slager","full_name":"Slager, Robert-Jan","first_name":"Robert-Jan"},{"full_name":"Ünal, F. Nur","last_name":"Ünal","first_name":"F. Nur"}],"ec_funded":1,"department":[{"_id":"MiLe"}],"OA_place":"repository","external_id":{"arxiv":["2408.16848"]},"doi":"10.48550/arXiv.2408.16848","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2408.16848"}],"status":"public","project":[{"grant_number":"801770","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","_id":"2688CF98-B435-11E9-9278-68D0E5697425"}],"month":"08","year":"2024","article_number":"2408.16848","_id":"19425","oa":1,"fulldoi":"https://doi.org/10.48550/arXiv.2408.16848","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"draft","date_published":"2024-08-29T00:00:00Z","type":"preprint","publication":"arXiv","arxiv":1},{"oa":1,"fulldoi":"https://doi.org/10.1093/imrn/rnae066","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","page":"10165-10168","ddc":["510"],"type":"journal_article","publication_status":"published","date_published":"2024-07-01T00:00:00Z","publication":"International Mathematics Research Notices","has_accepted_license":"1","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":"07","isi":1,"article_type":"original","scopus_import":"1","year":"2024","_id":"19051","issue":"13","date_updated":"2026-07-29T09:59:57Z","date_created":"2025-02-18T07:15:50Z","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"isi":["001196957300001"]},"doi":"10.1093/imrn/rnae066","quality_controlled":"1","corr_author":"1","department":[{"_id":"TiBr"}],"OA_place":"publisher","intvolume":" 2024","researchdata_availability":"no","publisher":"Oxford University Press","status":"public","article_processing_charge":"Yes (via OA deal)","das_tickbox":"0","supplementarymaterial":"no","OA_type":"hybrid","related_material":{"record":[{"id":"254","status":"public","relation":"earlier_version"}]},"file":[{"file_size":205750,"relation":"main_file","date_created":"2025-02-18T07:56:36Z","date_updated":"2025-02-18T07:56:36Z","creator":"dernst","file_name":"2024_IMRN_Browning.pdf","access_level":"open_access","file_id":"19052","checksum":"b625b8adf018d2a97591813c1fc17b96","success":1,"content_type":"application/pdf"}],"abstract":[{"lang":"eng","text":"This paper corrects an error in an earlier work of the author."}],"title":"The polynomial sieve and equal sums of like polynomials","day":"01","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"oa_version":"Published Version","file_date_updated":"2025-02-18T07:56:36Z","language":[{"iso":"eng"}],"volume":2024,"citation":{"ama":"Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024;2024(13):10165-10168. doi:10.1093/imrn/rnae066","ieee":"T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10165–10168, 2024.","chicago":"Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae066.","mla":"Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” International Mathematics Research Notices, vol. 2024, no. 13, Oxford University Press, 2024, pp. 10165–68, doi:10.1093/imrn/rnae066.","short":"T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.","apa":"Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae066","ista":"Browning TD. 2024. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2024(13), 10165–10168."}},{"type":"preprint","date_published":"2024-09-12T00:00:00Z","publication_status":"draft","arxiv":1,"publication":"arXiv","oa":1,"fulldoi":"https://doi.org/10.48550/arXiv.2409.08119","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_number":"2409.08119","year":"2024","_id":"20071","keyword":["Farkas lemma","linear programming","extended reals","calculus of inductive constructions"],"month":"09","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.08119","open_access":"1"}],"author":[{"full_name":"Dvorak, Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","last_name":"Dvorak","first_name":"Martin","orcid":"0000-0001-5293-214X"},{"last_name":"Kolmogorov","full_name":"Kolmogorov, Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","first_name":"Vladimir"}],"date_updated":"2026-07-29T12:56:51Z","date_created":"2025-07-23T11:21:52Z","doi":"10.48550/arXiv.2409.08119","external_id":{"arxiv":["2409.08119"]},"OA_place":"repository","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"corr_author":"1","oa_version":"Preprint","day":"12","language":[{"iso":"eng"}],"citation":{"ista":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv, 2409.08119.","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119.","ieee":"M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally verified,” arXiv. .","ama":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv. doi:10.48550/arXiv.2409.08119","apa":"Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization and its extensions -- formally verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119","short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.).","mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119."},"article_processing_charge":"No","acknowledgement":"We would like to thank David Bartl and Jasmin Blanchette for frequent consultations. We would also like to express gratitude to Andrew Yang for the proof of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization from extended rationals to extended linearly ordered fields. We would also like to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley, Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.","OA_type":"green","related_material":{"record":[{"relation":"later_version","status":"public","id":"22607"},{"status":"public","id":"21393","relation":"dissertation_contains"}],"link":[{"relation":"software","description":"full version of all definitions, statement, and proofs","url":"https://github.com/madvorak/duality/tree/v3.2"}]},"title":"Duality theory in linear optimization and its extensions -- formally verified","abstract":[{"text":"Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take \"infinite values\".","lang":"eng"}]},{"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","fulldoi":"https://doi.org/10.48550/arXiv.2309.05488","oa":1,"publication":"arXiv","arxiv":1,"type":"preprint","publication_status":"draft","date_published":"2024-12-17T00:00:00Z","month":"12","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":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331"}],"_id":"19545","year":"2024","external_id":{"arxiv":["2309.05488"]},"doi":"10.48550/arXiv.2309.05488","department":[{"_id":"LaEr"}],"corr_author":"1","OA_place":"repository","date_updated":"2026-07-29T13:18:16Z","ec_funded":1,"date_created":"2025-04-11T08:19:22Z","author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni","first_name":"Giorgio","orcid":"0000-0002-4901-7992"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"},{"orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"}],"status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2309.05488"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","abstract":[{"text":"We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly in the entire spectrum, in particular near the spectral edges, with a\r\nbound on the fluctuation that is optimal for any observable. This complements\r\nearlier works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma 10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142) that were restricted either to the bulk of the spectrum or to\r\nspecial observables. As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally accounts for the edge scaling.","lang":"eng"}],"title":"Eigenstate thermalisation at the edge for Wigner matrices","article_processing_charge":"No","language":[{"iso":"eng"}],"citation":{"ista":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv, 10.48550/arXiv.2309.05488.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).","mla":"Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, doi:10.48550/arXiv.2309.05488.","apa":"Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488","ama":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv. doi:10.48550/arXiv.2309.05488","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2309.05488.","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the edge for Wigner matrices,” arXiv. ."},"day":"17","oa_version":"Preprint"},{"language":[{"iso":"eng"}],"_id":"19550","citation":{"ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297","ieee":"S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” arXiv. .","chicago":"Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.","mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.","short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).","apa":"Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297","ista":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv, 10.48550/arXiv.2409.17297."},"year":"2024","day":"21","oa_version":"Preprint","month":"10","related_material":{"record":[{"id":"22290","status":"public","relation":"later_version"},{"status":"public","id":"19540","relation":"dissertation_contains"}]},"abstract":[{"text":"We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band superconductor the effect of inter-band coupling can only increase\r\nthe critical temperature, irrespective of its attractive or repulsive nature\r\nand its strength. Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the dependence of the increase in critical temperature on the\r\ninter-band coupling is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands, or (2) quadratic, if there is only one dominating band.","lang":"eng"}],"title":"Multi-band superconductors have enhanced critical temperatures","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"},"article_processing_charge":"No","status":"public","publication":"arXiv","arxiv":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.17297","open_access":"1"}],"type":"preprint","publication_status":"draft","date_published":"2024-10-21T00:00:00Z","external_id":{"arxiv":["2409.17297"]},"doi":"10.48550/arXiv.2409.17297","corr_author":"1","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"OA_place":"repository","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa":1,"fulldoi":"https://doi.org/10.48550/arXiv.2409.17297","date_created":"2025-04-11T11:43:58Z","date_updated":"2026-07-29T13:18:16Z","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","last_name":"Henheik","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"first_name":"Edwin","last_name":"Langmann","full_name":"Langmann, Edwin"},{"full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288"}]},{"language":[{"iso":"eng"}],"citation":{"ama":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv. doi:10.48550/arXiv.2410.06813","ieee":"L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated random matrices,” arXiv. .","chicago":"Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality for Correlated Random Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.06813.","short":"L. Erdös, S.J. Henheik, V. Riabov, ArXiv (n.d.).","mla":"Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” ArXiv, doi:10.48550/arXiv.2410.06813.","apa":"Erdös, L., Henheik, S. J., & Riabov, V. (n.d.). Cusp universality for correlated random matrices. arXiv. https://doi.org/10.48550/arXiv.2410.06813","ista":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv, 10.48550/arXiv.2410.06813."},"day":"03","oa_version":"Preprint","acknowledgement":"Supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo. 101020331.","related_material":{"record":[{"relation":"later_version","status":"public","id":"20322"},{"relation":"dissertation_contains","id":"20575","status":"public"},{"relation":"dissertation_contains","status":"public","id":"19540"}]},"abstract":[{"lang":"eng","text":"For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat the local eigenvalue statistics at any cusp singularity are universal.\r\nSince the density of states typically exhibits only square root edge or cubic\r\nroot cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta universality conjecture in all spectral regimes for a very\r\ngeneral class of random matrices. Previously only the bulk and the edge\r\nuniversality were established in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055]. As our main technical input, we prove an\r\noptimal local law at the cusp using the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and a Green function comparison argument.\r\nMoreover, our proof of the optimal local law holds uniformly in the spectrum,\r\nthus also re-establishing universality of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661] and edge [arXiv:1804.07744]\r\nregimes."}],"title":"Cusp universality for correlated random matrices","article_processing_charge":"No","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.06813","open_access":"1"}],"external_id":{"arxiv":["2410.06813"]},"doi":"10.48550/arXiv.2410.06813","department":[{"_id":"LaEr"}],"corr_author":"1","OA_place":"repository","author":[{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","last_name":"Erdös","first_name":"László"},{"orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","last_name":"Henheik"},{"last_name":"Riabov","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr","first_name":"Volodymyr"}],"date_updated":"2026-07-29T13:18:17Z","date_created":"2025-04-11T08:48:21Z","ec_funded":1,"_id":"19547","year":"2024","month":"11","project":[{"grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"publication":"arXiv","arxiv":1,"type":"preprint","publication_status":"draft","date_published":"2024-11-03T00:00:00Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa":1,"fulldoi":"https://doi.org/10.48550/arXiv.2410.06813"},{"title":"Response theory for locally gapped systems","abstract":[{"text":"We introduce a notion of a \\emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbations in such settings.\r\nOn a high level, our result shows that the usual spectral gap condition, concerning the system as a whole, is not a necessary condition for understanding local properties of the system.\r\nMore precisely, we say that an equilibrium state ρ0 of a Hamiltonian H0 is locally gapped in Λgap⊂Λ, whenever the Liouvillian −i[H0,⋅] is almost invertible on local observables supported in Λgap when tested in ρ0.\r\nTo put this into context, we provide other alternative notions of a local gap and discuss their relations.\r\nThe validity of response theory is based on the construction of \\emph{non-equilibrium almost stationary states} (NEASSs).\r\nBy controlling locality properties of the NEASS construction, we show that response theory holds to any order, whenever the perturbation \\(\\epsilon V\\) acts in a region which is further than |logϵ| away from the non-gapped region Λ∖Λgap.","lang":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"19540"}]},"month":"10","article_processing_charge":"No","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"},"citation":{"ista":"Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv, 10.48550/arXiv.2410.10809.","short":"S.J. Henheik, T. Wessel, ArXiv (n.d.).","mla":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” ArXiv, doi:10.48550/arXiv.2410.10809.","apa":"Henheik, S. J., & Wessel, T. (n.d.). Response theory for locally gapped systems. arXiv. https://doi.org/10.48550/arXiv.2410.10809","ama":"Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv. doi:10.48550/arXiv.2410.10809","ieee":"S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,” arXiv. .","chicago":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.10809."},"_id":"19551","language":[{"iso":"eng"}],"oa_version":"Preprint","day":"14","year":"2024","OA_place":"repository","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","department":[{"_id":"LaEr"}],"corr_author":"1","doi":"10.48550/arXiv.2410.10809","external_id":{"arxiv":["2410.10809"]},"date_created":"2025-04-11T11:54:56Z","author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"full_name":"Wessel, Tom","last_name":"Wessel","first_name":"Tom"}],"date_updated":"2026-07-29T13:18:16Z","oa":1,"fulldoi":"https://doi.org/10.48550/arXiv.2410.10809","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2410.10809"}],"arxiv":1,"publication":"arXiv","status":"public","date_published":"2024-10-14T00:00:00Z","publication_status":"draft","type":"preprint"},{"extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"fulldoi":"https://doi.org/10.5194/hess-28-3391-2024","has_accepted_license":"1","publication":"Hydrology and Earth System Sciences","page":"3391-3433","DOAJ_listed":"1","ddc":["550"],"type":"journal_article","publication_status":"published","date_published":"2024-07-29T00:00:00Z","PlanS_conform":"1","month":"07","article_type":"original","scopus_import":"1","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"},"_id":"22444","issue":"14","year":"2024","doi":"10.5194/hess-28-3391-2024","quality_controlled":"1","OA_place":"publisher","intvolume":" 28","date_created":"2026-07-27T12:30:23Z","author":[{"first_name":"Tobias Karl David","last_name":"Weber","full_name":"Weber, Tobias Karl David"},{"full_name":"Weihermüller, Lutz","last_name":"Weihermüller","first_name":"Lutz"},{"first_name":"Attila","last_name":"Nemes","full_name":"Nemes, Attila"},{"first_name":"Michel","full_name":"Bechtold, Michel","last_name":"Bechtold"},{"last_name":"Degré","full_name":"Degré, Aurore","first_name":"Aurore"},{"last_name":"Diamantopoulos","full_name":"Diamantopoulos, Efstathios","first_name":"Efstathios"},{"last_name":"Fatichi","full_name":"Fatichi, Simone","id":"cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6","first_name":"Simone"},{"last_name":"Filipović","full_name":"Filipović, Vilim","first_name":"Vilim"},{"full_name":"Gupta, Surya","last_name":"Gupta","first_name":"Surya"},{"full_name":"Hohenbrink, Tobias L.","last_name":"Hohenbrink","first_name":"Tobias L."},{"first_name":"Daniel R.","full_name":"Hirmas, Daniel R.","last_name":"Hirmas"},{"first_name":"Conrad","last_name":"Jackisch","full_name":"Jackisch, Conrad"},{"first_name":"Quirijn","full_name":"de Jong van Lier, Quirijn","last_name":"de Jong van Lier"},{"full_name":"Koestel, John","last_name":"Koestel","first_name":"John"},{"first_name":"Peter","last_name":"Lehmann","full_name":"Lehmann, Peter"},{"full_name":"Marthews, Toby R.","last_name":"Marthews","first_name":"Toby R."},{"first_name":"Budiman","full_name":"Minasny, Budiman","last_name":"Minasny"},{"full_name":"Pagel, Holger","last_name":"Pagel","first_name":"Holger"},{"full_name":"van der Ploeg, Martine","last_name":"van der Ploeg","first_name":"Martine"},{"full_name":"Shojaeezadeh, Shahab Aldin","last_name":"Shojaeezadeh","first_name":"Shahab Aldin"},{"full_name":"Svane, Simon Fiil","last_name":"Svane","first_name":"Simon Fiil"},{"first_name":"Brigitta","last_name":"Szabó","full_name":"Szabó, Brigitta"},{"full_name":"Vereecken, Harry","last_name":"Vereecken","first_name":"Harry"},{"first_name":"Anne","last_name":"Verhoef","full_name":"Verhoef, Anne"},{"first_name":"Michael","full_name":"Young, Michael","last_name":"Young"},{"full_name":"Zeng, Yijian","last_name":"Zeng","first_name":"Yijian"},{"last_name":"Zhang","full_name":"Zhang, Yonggen","first_name":"Yonggen"},{"first_name":"Sara","full_name":"Bonetti, Sara","last_name":"Bonetti"}],"date_updated":"2026-07-30T11:43:29Z","status":"public","main_file_link":[{"url":"https://doi.org/10.5194/hess-28-3391-2024","open_access":"1"}],"publisher":"Copernicus Publications","OA_type":"gold","abstract":[{"lang":"eng","text":"Abstract. Hydro-pedotransfer functions (PTFs) relate easy-to-measure and readily available soil information to soil hydraulic properties (SHPs) for applications in a wide range of process-based and empirical models, thereby enabling the assessment of soil hydraulic effects on hydrological, biogeochemical, and ecological processes. At least more than 4 decades of research have been invested to derive such relationships. However, while models, methods, data storage capacity, and computational efficiency have advanced, there are fundamental concerns related to the scope and adequacy of current PTFs, particularly when applied to parameterise models used at the field scale and beyond. Most of the PTF development process has focused on refining and advancing the regression methods, while fundamental aspects have remained largely unconsidered. Most soil systems are not represented in PTFs, which have been built mostly for agricultural soils in temperate climates. Thus, existing PTFs largely ignore how parent material, vegetation, land use, and climate affect processes that shape SHPs. The PTFs used to parameterise the Richards–Richardson equation are mostly limited to predicting parameters of the van Genuchten–Mualem soil hydraulic functions, despite sufficient evidence demonstrating their shortcomings. Another fundamental issue relates to the diverging scales of derivation and application, whereby PTFs are derived based on laboratory measurements while often being applied at the field to regional scales. Scaling, modulation, and constraining strategies exist to alleviate some of these shortcomings in the mismatch between scales. These aspects are addressed here in a joint effort by the members of the International Soil Modelling Consortium (ISMC) Pedotransfer Functions Working Group with the aim of systematising PTF research and providing a roadmap guiding both PTF development and use. We close with a 10-point catalogue for funders and researchers to guide review processes and research."}],"title":"Hydro-pedotransfer functions: A roadmap for future development","article_processing_charge":"No","das_tickbox":"1","language":[{"iso":"eng"}],"volume":28,"citation":{"chicago":"Weber, Tobias Karl David, Lutz Weihermüller, Attila Nemes, Michel Bechtold, Aurore Degré, Efstathios Diamantopoulos, Simone Fatichi, et al. “Hydro-Pedotransfer Functions: A Roadmap for Future Development.” Hydrology and Earth System Sciences. Copernicus Publications, 2024. https://doi.org/10.5194/hess-28-3391-2024.","ieee":"T. K. D. Weber et al., “Hydro-pedotransfer functions: A roadmap for future development,” Hydrology and Earth System Sciences, vol. 28, no. 14. Copernicus Publications, pp. 3391–3433, 2024.","ama":"Weber TKD, Weihermüller L, Nemes A, et al. Hydro-pedotransfer functions: A roadmap for future development. Hydrology and Earth System Sciences. 2024;28(14):3391-3433. doi:10.5194/hess-28-3391-2024","apa":"Weber, T. K. D., Weihermüller, L., Nemes, A., Bechtold, M., Degré, A., Diamantopoulos, E., … Bonetti, S. (2024). Hydro-pedotransfer functions: A roadmap for future development. Hydrology and Earth System Sciences. Copernicus Publications. https://doi.org/10.5194/hess-28-3391-2024","short":"T.K.D. Weber, L. Weihermüller, A. Nemes, M. Bechtold, A. Degré, E. Diamantopoulos, S. Fatichi, V. Filipović, S. Gupta, T.L. Hohenbrink, D.R. Hirmas, C. Jackisch, Q. de Jong van Lier, J. Koestel, P. Lehmann, T.R. Marthews, B. Minasny, H. Pagel, M. van der Ploeg, S.A. Shojaeezadeh, S.F. Svane, B. Szabó, H. Vereecken, A. Verhoef, M. Young, Y. Zeng, Y. Zhang, S. Bonetti, Hydrology and Earth System Sciences 28 (2024) 3391–3433.","mla":"Weber, Tobias Karl David, et al. “Hydro-Pedotransfer Functions: A Roadmap for Future Development.” Hydrology and Earth System Sciences, vol. 28, no. 14, Copernicus Publications, 2024, pp. 3391–433, doi:10.5194/hess-28-3391-2024.","ista":"Weber TKD, Weihermüller L, Nemes A, Bechtold M, Degré A, Diamantopoulos E, Fatichi S, Filipović V, Gupta S, Hohenbrink TL, Hirmas DR, Jackisch C, de Jong van Lier Q, Koestel J, Lehmann P, Marthews TR, Minasny B, Pagel H, van der Ploeg M, Shojaeezadeh SA, Svane SF, Szabó B, Vereecken H, Verhoef A, Young M, Zeng Y, Zhang Y, Bonetti S. 2024. Hydro-pedotransfer functions: A roadmap for future development. Hydrology and Earth System Sciences. 28(14), 3391–3433."},"day":"29","publication_identifier":{"eissn":["1607-7938"],"issn":["1027-5606"]},"oa_version":"Published Version"},{"publication":"Proceedings of the National Academy of Sciences","has_accepted_license":"1","type":"journal_article","ddc":["550"],"date_published":"2024-10-09T00:00:00Z","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","fulldoi":"https://doi.org/10.1073/pnas.2410736121","oa":1,"_id":"22485","issue":"42","article_number":"e2410736121","year":"2024","month":"10","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"},"status":"public","main_file_link":[{"url":"https://doi.org/10.1073/pnas.2410736121","open_access":"1"}],"publisher":"National Academy of Sciences","doi":"10.1073/pnas.2410736121","quality_controlled":"1","OA_place":"publisher","intvolume":" 121","date_created":"2026-07-27T12:30:23Z","author":[{"last_name":"Bassani","full_name":"Bassani, Francesca","first_name":"Francesca"},{"full_name":"Fatichi, Simone","id":"cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6","last_name":"Fatichi","first_name":"Simone"},{"full_name":"Rinaldo, Andrea","last_name":"Rinaldo","first_name":"Andrea"},{"first_name":"Sara","last_name":"Bonetti","full_name":"Bonetti, Sara"}],"date_updated":"2026-07-30T11:27:23Z","language":[{"iso":"eng"}],"citation":{"apa":"Bassani, F., Fatichi, S., Rinaldo, A., & Bonetti, S. (2024). Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size. Proceedings of the National Academy of Sciences. National Academy of Sciences. https://doi.org/10.1073/pnas.2410736121","short":"F. Bassani, S. Fatichi, A. Rinaldo, S. Bonetti, Proceedings of the National Academy of Sciences 121 (2024).","mla":"Bassani, Francesca, et al. “Toward a Metabolic Theory of Catchments: Scaling of Water and Carbon Fluxes with Size.” Proceedings of the National Academy of Sciences, vol. 121, no. 42, e2410736121, National Academy of Sciences, 2024, doi:10.1073/pnas.2410736121.","ieee":"F. Bassani, S. Fatichi, A. Rinaldo, and S. Bonetti, “Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size,” Proceedings of the National Academy of Sciences, vol. 121, no. 42. National Academy of Sciences, 2024.","chicago":"Bassani, Francesca, Simone Fatichi, Andrea Rinaldo, and Sara Bonetti. “Toward a Metabolic Theory of Catchments: Scaling of Water and Carbon Fluxes with Size.” Proceedings of the National Academy of Sciences. National Academy of Sciences, 2024. https://doi.org/10.1073/pnas.2410736121.","ama":"Bassani F, Fatichi S, Rinaldo A, Bonetti S. Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size. Proceedings of the National Academy of Sciences. 2024;121(42). doi:10.1073/pnas.2410736121","ista":"Bassani F, Fatichi S, Rinaldo A, Bonetti S. 2024. Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size. Proceedings of the National Academy of Sciences. 121(42), e2410736121."},"volume":121,"oa_version":"Published Version","publication_identifier":{"eissn":["1091-6490"],"issn":["0027-8424"]},"day":"09","OA_type":"hybrid","title":"Toward a metabolic theory of catchments: Scaling of water and carbon fluxes with size","abstract":[{"text":"Allometric scaling relations are widely used to link biological processes to body size in nature. Several studies have shown that such scaling laws hold also for natural ecosystems, including individual trees and forests, riverine metabolism, and river network organization. However, the derivation of scaling laws for catchment-scale water and carbon fluxes has not been achieved so far. Here, we focus on scaling relations of catchment green metabolism, defined as the set of ecohydrological and biogeochemical processes through which vegetation assemblages in catchments maintain their structure and react to the surrounding environment. By revising existing plant size–density relationships and integrating them across large-scale domains, we show that the ecohydrological fluxes occurring at the catchment scale are invariant with respect to the above-ground vegetation biomass per unit area of the basin, while they scale linearly with catchment size. We thus demonstrate that the sublinear scaling of plant metabolism results in an isometric scaling at catchment and regional scales. Deviations from such predictions are further shown to collapse onto a common distribution, thus incorporating natural fluctuations due to resource limitations into a generalized scaling theory. Results from scaling arguments are supported by hyperresolution ecohydrological simulations and remote sensing observations.","lang":"eng"}],"article_processing_charge":"No","das_tickbox":"1"}]