[{"oa":1,"has_accepted_license":"1","OA_place":"publisher","publication":"Genetics","publication_identifier":{"eissn":["1943-2631"]},"_id":"21841","pmid":1,"fulldoi":"https://doi.org/10.1093/genetics/iyag024","PlanS_conform":"1","scopus_import":"1","publisher":"Oxford University Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","publication_status":"published","date_published":"2026-04-01T00:00:00Z","month":"04","volume":232,"citation":{"chicago":"Tautz, Diethard, Luisa F Pallares, Leif Andersson, Neda Barghi, Nicholas H Barton, Rachael Bay, Yingguang Frank Chan, et al. “Beyond Mendel: A Call to Revisit the Genotype–Phenotype Map through New Experimental Paradigms.” <i>Genetics</i>. Oxford University Press, 2026. <a href=\"https://doi.org/10.1093/genetics/iyag024\">https://doi.org/10.1093/genetics/iyag024</a>.","ama":"Tautz D, Pallares LF, Andersson L, et al. Beyond Mendel: A call to revisit the genotype–phenotype map through new experimental paradigms. <i>Genetics</i>. 2026;232(4). doi:<a href=\"https://doi.org/10.1093/genetics/iyag024\">10.1093/genetics/iyag024</a>","ieee":"D. Tautz <i>et al.</i>, “Beyond Mendel: A call to revisit the genotype–phenotype map through new experimental paradigms,” <i>Genetics</i>, vol. 232, no. 4. Oxford University Press, 2026.","ista":"Tautz D, Pallares LF, Andersson L, Barghi N, Barton NH, Bay R, Chan YF, Hancock A, Kaiser TS, Koenig D, Kontarakis Z, Liedvogel M, de Meaux J, Nordborg M, Palmer AA, Purugganan M, Schlötterer C, Schmid K, Stainier DYR, Weigel D, Wolf JBW, Ebert D, Gibson G. 2026. Beyond Mendel: A call to revisit the genotype–phenotype map through new experimental paradigms. Genetics. 232(4), iyag024.","apa":"Tautz, D., Pallares, L. F., Andersson, L., Barghi, N., Barton, N. H., Bay, R., … Gibson, G. (2026). Beyond Mendel: A call to revisit the genotype–phenotype map through new experimental paradigms. <i>Genetics</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/genetics/iyag024\">https://doi.org/10.1093/genetics/iyag024</a>","mla":"Tautz, Diethard, et al. “Beyond Mendel: A Call to Revisit the Genotype–Phenotype Map through New Experimental Paradigms.” <i>Genetics</i>, vol. 232, no. 4, iyag024, Oxford University Press, 2026, doi:<a href=\"https://doi.org/10.1093/genetics/iyag024\">10.1093/genetics/iyag024</a>.","short":"D. Tautz, L.F. Pallares, L. Andersson, N. Barghi, N.H. Barton, R. Bay, Y.F. Chan, A. Hancock, T.S. Kaiser, D. Koenig, Z. Kontarakis, M. Liedvogel, J. de Meaux, M. Nordborg, A.A. Palmer, M. Purugganan, C. Schlötterer, K. Schmid, D.Y.R. Stainier, D. Weigel, J.B.W. Wolf, D. Ebert, G. Gibson, Genetics 232 (2026)."},"article_processing_charge":"Yes (in subscription journal)","department":[{"_id":"NiBa"}],"type":"journal_article","OA_type":"hybrid","status":"public","doi":"10.1093/genetics/iyag024","file_date_updated":"2026-05-18T07:48:45Z","date_created":"2026-05-07T08:53:40Z","issue":"4","acknowledgement":"We thank a variety of further colleagues for the many inspiring discussions on the nature of heredity, especially the workshops in Berlin. Special thanks also to the Stellenbosch Institute for Advanced Studies (STIAS) to provide DT the leisure and freedom to write up the first version of this perspective. Thanks also to three reviewers who have helped to improve the manuscript. Two dedicated symposia on the topic were funded by the Max-Planck Society.","author":[{"last_name":"Tautz","first_name":"Diethard","full_name":"Tautz, Diethard"},{"first_name":"Luisa F","last_name":"Pallares","full_name":"Pallares, Luisa F"},{"last_name":"Andersson","first_name":"Leif","full_name":"Andersson, Leif"},{"last_name":"Barghi","first_name":"Neda","full_name":"Barghi, Neda"},{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","last_name":"Barton","orcid":"0000-0002-8548-5240"},{"full_name":"Bay, Rachael","last_name":"Bay","first_name":"Rachael"},{"full_name":"Chan, Yingguang Frank","last_name":"Chan","first_name":"Yingguang Frank"},{"last_name":"Hancock","first_name":"Angela","full_name":"Hancock, Angela"},{"first_name":"Tobias S","last_name":"Kaiser","full_name":"Kaiser, Tobias S"},{"first_name":"Daniel","last_name":"Koenig","full_name":"Koenig, Daniel"},{"full_name":"Kontarakis, Zacharias","last_name":"Kontarakis","first_name":"Zacharias"},{"first_name":"Miriam","last_name":"Liedvogel","full_name":"Liedvogel, Miriam"},{"full_name":"de Meaux, Juliette","first_name":"Juliette","last_name":"de Meaux"},{"last_name":"Nordborg","first_name":"Magnus","full_name":"Nordborg, Magnus"},{"first_name":"Abraham A","last_name":"Palmer","full_name":"Palmer, Abraham A"},{"full_name":"Purugganan, Michael","first_name":"Michael","last_name":"Purugganan"},{"first_name":"Christian","last_name":"Schlötterer","full_name":"Schlötterer, Christian"},{"full_name":"Schmid, Karl","last_name":"Schmid","first_name":"Karl"},{"full_name":"Stainier, Didier Y R","first_name":"Didier Y R","last_name":"Stainier"},{"full_name":"Weigel, Detlef","first_name":"Detlef","last_name":"Weigel"},{"last_name":"Wolf","first_name":"Jochen B W","full_name":"Wolf, Jochen B W"},{"full_name":"Ebert, Dieter","last_name":"Ebert","first_name":"Dieter"},{"last_name":"Gibson","first_name":"Greg","full_name":"Gibson, Greg"}],"ddc":["570"],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"keyword":["classic genetics","quantitative genetics","genotype–phenotype map"],"license":"https://creativecommons.org/licenses/by/4.0/","quality_controlled":"1","external_id":{"pmid":["41701356"]},"year":"2026","intvolume":"       232","abstract":[{"lang":"eng","text":"The long-standing notion that genotypes map to phenotypes through simple one gene–one trait relationships continues to shape both research in the life sciences and public understanding, with implications for policy and funding priorities. Yet this paradigm is increasingly recognized as inadequate for explaining continuous phenotypic variation and the complex genetic architectures of the genotype–phenotype map. Modern genetics emerged from the early 20th-century synthesis of Mendelian and biometric schools of heredity, with R.A. Fisher demonstrating early on how multiple discrete loci could collectively produce continuous variation. Despite this fundamental insight, Mendelism—with its focus on single genes and standardized genetic backgrounds—became the dominant framework, shaping current genetics research and molecular biology as well as science education. The advent of large-scale genomic data has revealed yet again the limitations of this reductionist approach. Evidence from quantitative genetics now shows that most phenotypes arise from complex networks of many interdependent genes and their dynamic responses to environmental perturbations. Here we trace the historical roots of how Mendelian classical genetics departed from the biometric school to create the current predominant paradigm in genetics, despite fundamentally unresolved issues. Moving on from this one-sided paradigm will require systematic development of integrative, evolutionarily grounded experimental approaches that better capture the multigenic and context-dependent nature of inheritance. Achieving such an extended perspective will require methodological innovation, including advances in large-scale (e.g. automated) phenotyping. Dedicated research programs will be necessary to advance a new era of genetic research into the complex mechanisms underlying phenotypic variation."}],"article_number":"iyag024","file":[{"relation":"main_file","file_size":542844,"creator":"dernst","content_type":"application/pdf","checksum":"5a862c539f9dec4511277ad8927c549c","success":1,"file_id":"21890","date_created":"2026-05-18T07:48:45Z","access_level":"open_access","date_updated":"2026-05-18T07:48:45Z","file_name":"2026_Genetics_Tautz.pdf"}],"day":"01","title":"Beyond Mendel: A call to revisit the genotype–phenotype map through new experimental paradigms","date_updated":"2026-05-18T07:51:26Z","language":[{"iso":"eng"}],"oa_version":"Published Version"},{"language":[{"iso":"eng"}],"oa_version":"Published Version","day":"23","date_updated":"2026-07-13T12:00:07Z","title":"Additive partial matchings induced by persistence maps","abstract":[{"lang":"eng","text":"Persistent homology is a fundamental tool in Topological Data Analysis. The associated algebraic structure is the persistence module, a sequence of vector spaces connected by linear maps. Persistence modules admit a complete and fast-to-compute invariant known as the persistence diagram. However, this is no longer the case for maps between persistence modules (i.e. persistence maps). We propose a new invariant for persistence maps, consisting of a partial matching between the persistence diagrams of the domain and codomain modules. We show that this invariant is additive with respect to the direct sum decomposition of persistence maps, is more discriminative than the image module, and is computable in cubic time. Furthermore, we provide an implementation and demonstrate its efficiency by integrating it with edge collapse techniques for flag complexes (e.g., Vietoris–Rips complexes). As a key technical contribution, we describe how to induce a persistence map between two flag complexes that have been independently simplified via edge collapses, even when a direct simplicial map between them is no longer available."}],"article_number":"102598","intvolume":"       138","year":"2026","external_id":{"arxiv":["2006.11100"]},"quality_controlled":"1","keyword":["Persistence module","Persistence map","Persistent homology"],"corr_author":"1","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"author":[{"full_name":"Gonzalez-Diaz, Rocio","first_name":"Rocio","last_name":"Gonzalez-Diaz"},{"last_name":"Soriano Trigueros","orcid":"0000-0003-2449-1433","id":"15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8","first_name":"Manuel","full_name":"Soriano Trigueros, Manuel"},{"full_name":"Torras-Casas, Alvaro","first_name":"Alvaro","last_name":"Torras-Casas"}],"ddc":["500"],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.jsc.2026.102598"}],"acknowledgement":"This project was partially funded by MCIN/AEI and the NextGenerationEU/PRTR, under project TED2021-129438B-I00. The authors thank IMUS-Maria de Maeztu grant CEX2024-001517-M - Apoyo a Unidades de Excelencia María de Maeztu for supporting this research, funded by MICIU/AEI/ 10.13039/501100011033. The authors would also like to thank Lars M Salbu for fruitful discussions regarding the operators from Definition 4.1 and their relation with the order relations introduced in Definition 3.2.","dataavailabilitystatement":"The code used for the computational experiments is available in https://github.com/Cimagroup/IBloFunMatch","date_created":"2026-07-13T09:43:38Z","OA_type":"hybrid","status":"public","doi":"10.1016/j.jsc.2026.102598","type":"journal_article","researchdata_availability":"yes","department":[{"_id":"HeEd"}],"article_processing_charge":"No","das_tickbox":"1","citation":{"ieee":"R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings induced by persistence maps,” <i>Journal of Symbolic Computation</i>, vol. 138. Elsevier, 2026.","short":"R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, Journal of Symbolic Computation 138 (2026).","ista":"Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. 2026. Additive partial matchings induced by persistence maps. Journal of Symbolic Computation. 138, 102598.","apa":"Gonzalez-Diaz, R., Soriano Trigueros, M., &#38; Torras-Casas, A. (2026). Additive partial matchings induced by persistence maps. <i>Journal of Symbolic Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">https://doi.org/10.1016/j.jsc.2026.102598</a>","mla":"Gonzalez-Diaz, Rocio, et al. “Additive Partial Matchings Induced by Persistence Maps.” <i>Journal of Symbolic Computation</i>, vol. 138, 102598, Elsevier, 2026, doi:<a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">10.1016/j.jsc.2026.102598</a>.","ama":"Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings induced by persistence maps. <i>Journal of Symbolic Computation</i>. 2026;138. doi:<a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">10.1016/j.jsc.2026.102598</a>","chicago":"Gonzalez-Diaz, Rocio, Manuel Soriano Trigueros, and Alvaro Torras-Casas. “Additive Partial Matchings Induced by Persistence Maps.” <i>Journal of Symbolic Computation</i>. Elsevier, 2026. <a href=\"https://doi.org/10.1016/j.jsc.2026.102598\">https://doi.org/10.1016/j.jsc.2026.102598</a>."},"volume":138,"month":"06","mathsc":["55N31","16G20"],"publication_status":"epub_ahead","date_published":"2026-06-23T00:00:00Z","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","supplementarymaterial":"no","scopus_import":"1","PlanS_conform":"1","publisher":"Elsevier","fulldoi":"https://doi.org/10.1016/j.jsc.2026.102598","publication_identifier":{"eissn":["1095-855X"],"issn":["0747-7171"]},"_id":"22291","publication":"Journal of Symbolic Computation","OA_place":"publisher","arxiv":1,"has_accepted_license":"1","oa":1},{"quality_controlled":"1","keyword":["Machine Unlearning","Neuroscience-Inspired Machine Learning","Membership Inference Attacks"],"page":"1536-1546","year":"2026","external_id":{"arxiv":["2410.22374"]},"abstract":[{"lang":"eng","text":"Modern computer systems store vast amounts of personal data, enabling advances in AI and ML but risking user privacy and trust. For privacy reasons, it is sometimes desired for an ML model to forget part of the data it was trained on. In this paper, we introduce a novel unlearning approach based on Forgetting Neural Networks (FNNs), a neuroscience-inspired architecture that explicitly encodes forgetting through multiplicative decay factors. While FNNs had previously been studied as a theoretical construct, we provide the first concrete implementation and demonstrate their effectiveness for targeted unlearning. We propose several variants with per-neuron forgetting factors, including rank-based assignments guided by activation levels, and evaluate them on MNIST and Fashion-MNIST benchmarks. Our method systematically removes information associated with forget sets while preserving performance on retained data. Membership inference attacks confirm the effectiveness of FNN-based unlearning in erasing information about the training data from the neural network. These results establish FNNs as a promising foundation for efficient and interpretable unlearning. "}],"intvolume":"         2","oa_version":"Preprint","language":[{"iso":"eng"}],"day":"30","date_updated":"2026-07-16T09:02:53Z","title":"Machine unlearning using forgetting neural networks","conference":{"end_date":"2026-03-08","name":"ICAART: International Conference on Agents and Artificial Intelligence","start_date":"2026-03-05","location":"Marbella, Spain"},"OA_type":"green","status":"public","doi":"10.5220/0014326500004052","type":"conference","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2410.22374"}],"date_created":"2026-07-13T09:46:46Z","author":[{"full_name":"Hatua, Amartya","last_name":"Hatua","first_name":"Amartya"},{"full_name":"Nguyen, Trung","first_name":"Trung","last_name":"Nguyen"},{"first_name":"Filip","id":"708cad98-e86a-11ef-8098-bdae2d7c6af1","orcid":"0000-0002-0783-904X","last_name":"Cano Cordoba","full_name":"Cano Cordoba, Filip"},{"full_name":"Sung, Andrew","last_name":"Sung","first_name":"Andrew"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"06","publication_status":"published","date_published":"2026-06-30T00:00:00Z","citation":{"ieee":"A. Hatua, T. Nguyen, F. Cano Cordoba, and A. Sung, “Machine unlearning using forgetting neural networks,” in <i>Proceedings of the 18th International Conference on Agents and Artificial Intelligence</i>, Marbella, Spain, 2026, vol. 2, pp. 1536–1546.","mla":"Hatua, Amartya, et al. “Machine Unlearning Using Forgetting Neural Networks.” <i>Proceedings of the 18th International Conference on Agents and Artificial Intelligence</i>, vol. 2, SciTePress, 2026, pp. 1536–46, doi:<a href=\"https://doi.org/10.5220/0014326500004052\">10.5220/0014326500004052</a>.","apa":"Hatua, A., Nguyen, T., Cano Cordoba, F., &#38; Sung, A. (2026). Machine unlearning using forgetting neural networks. In <i>Proceedings of the 18th International Conference on Agents and Artificial Intelligence</i> (Vol. 2, pp. 1536–1546). Marbella, Spain: SciTePress. <a href=\"https://doi.org/10.5220/0014326500004052\">https://doi.org/10.5220/0014326500004052</a>","ista":"Hatua A, Nguyen T, Cano Cordoba F, Sung A. 2026. Machine unlearning using forgetting neural networks. Proceedings of the 18th International Conference on Agents and Artificial Intelligence. ICAART: International Conference on Agents and Artificial Intelligence vol. 2, 1536–1546.","short":"A. Hatua, T. Nguyen, F. Cano Cordoba, A. Sung, in:, Proceedings of the 18th International Conference on Agents and Artificial Intelligence, SciTePress, 2026, pp. 1536–1546.","chicago":"Hatua, Amartya, Trung Nguyen, Filip Cano Cordoba, and Andrew Sung. “Machine Unlearning Using Forgetting Neural Networks.” In <i>Proceedings of the 18th International Conference on Agents and Artificial Intelligence</i>, 2:1536–46. SciTePress, 2026. <a href=\"https://doi.org/10.5220/0014326500004052\">https://doi.org/10.5220/0014326500004052</a>.","ama":"Hatua A, Nguyen T, Cano Cordoba F, Sung A. Machine unlearning using forgetting neural networks. In: <i>Proceedings of the 18th International Conference on Agents and Artificial Intelligence</i>. Vol 2. SciTePress; 2026:1536-1546. doi:<a href=\"https://doi.org/10.5220/0014326500004052\">10.5220/0014326500004052</a>"},"volume":2,"department":[{"_id":"ToHe"}],"article_processing_charge":"No","das_tickbox":"1","oa":1,"arxiv":1,"OA_place":"repository","_id":"22294","publication_identifier":{"isbn":["9789897587962"],"eissn":["2184-433X"]},"publication":"Proceedings of the 18th International Conference on Agents and Artificial Intelligence","publisher":"SciTePress","scopus_import":"1","fulldoi":"https://doi.org/10.5220/0014326500004052"},{"publication":"Documenta Mathematica","publication_identifier":{"eissn":["1431-0643"],"issn":["1431-0635"]},"_id":"22693","fulldoi":"https://doi.org/10.4171/dm/1064","PlanS_conform":"1","publisher":"EMS Press","supplementarymaterial":"no","scopus_import":"1","oa":1,"has_accepted_license":"1","project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","grant_number":"P35847","name":"Geometry of the tip of the global nilpotent cone"}],"arxiv":1,"OA_place":"publisher","citation":{"apa":"Löwit, J. (2026). Equivariant K-theory, affine Grassmannian and perfection. <i>Documenta Mathematica</i>. EMS Press. <a href=\"https://doi.org/10.4171/dm/1064\">https://doi.org/10.4171/dm/1064</a>","mla":"Löwit, Jakub. “Equivariant K-Theory, Affine Grassmannian and Perfection.” <i>Documenta Mathematica</i>, EMS Press, 2026, doi:<a href=\"https://doi.org/10.4171/dm/1064\">10.4171/dm/1064</a>.","ista":"Löwit J. 2026. Equivariant K-theory, affine Grassmannian and perfection. Documenta Mathematica.","short":"J. Löwit, Documenta Mathematica (2026).","ieee":"J. Löwit, “Equivariant K-theory, affine Grassmannian and perfection,” <i>Documenta Mathematica</i>. EMS Press, 2026.","ama":"Löwit J. Equivariant K-theory, affine Grassmannian and perfection. <i>Documenta Mathematica</i>. 2026. doi:<a href=\"https://doi.org/10.4171/dm/1064\">10.4171/dm/1064</a>","chicago":"Löwit, Jakub. “Equivariant K-Theory, Affine Grassmannian and Perfection.” <i>Documenta Mathematica</i>. EMS Press, 2026. <a href=\"https://doi.org/10.4171/dm/1064\">https://doi.org/10.4171/dm/1064</a>."},"das_tickbox":"0","article_processing_charge":"Yes (in subscription journal)","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"id":"22694","status":"public","relation":"dissertation_contains"}]},"article_type":"original","mathsc":["19E08","19L47","20G44","14G17","19D55","14F43","14L30","14D24","14M25"],"publication_status":"epub_ahead","date_published":"2026-03-26T00:00:00Z","month":"03","date_created":"2026-08-12T13:29:17Z","acknowledgement":"I would like to thank the following people for fruitful discussions,\r\nhelpful sanity checks or comments on previous drafts: Roman Bezrukavnikov, Jens Niklas Eberhardt, Mischa Elkner, Tamás Hausel, Andres Fernandez Herrero, Adeel Khan,\r\nBernhard Köck, Andrei Konovalov, Quoc Ho, Mirko Mauri, Matthew Morrow, Charanya\r\nRavi, Kamil Rychlewicz, Shyiu Shen, Vladimir Sosnilo, Georg Tamme, Xinwen Zhu. I\r\nwould further like to thank Marc Hoyois and the anonymous referee for spotting an error\r\nin a previous version.\r\nThis work was done during author’s PhD at the Institute of Science and Technology Austria (ISTA). It was funded by a DOC Fellowship of the Austrian Academy\r\nof Sciences and by the Austrian Science Fund (FWF) 10.55776/P35847. For open access\r\npurposes, the author has applied a CC BY public copyright license to any author-accepted\r\nmanuscript version arising from this submission.","main_file_link":[{"url":"https://doi.org/10.4171/DM/1064","open_access":"1"}],"ddc":["500"],"author":[{"full_name":"Löwit, Jakub","id":"e3b80ae2-eb8e-11eb-b029-9aef4a9108a0","first_name":"Jakub","last_name":"Löwit"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"corr_author":"1","researchdata_availability":"no","type":"journal_article","status":"public","doi":"10.4171/dm/1064","OA_type":"hybrid","abstract":[{"lang":"eng","text":"We study torus-equivariant algebraic K-theory of affine Schubert varieties in the perfect affine Grassmannians over Fp. We further compare it to the torus-equivariant Hochschild homology of perfect complexes, which has a geometric description in terms of global functions on certain fixed-point schemes. We prove that Fp-linearly, this comparison is an isomorphism. Our approach is quite constructive, resulting in new computations of these K-theory rings. We establish various structural results for equivariant perfect algebraic K-theory on the way; we believe these are of independent interest."}],"date_updated":"2026-08-26T06:53:54Z","title":"Equivariant K-theory, affine Grassmannian and perfection","day":"26","language":[{"iso":"eng"}],"oa_version":"Published Version","keyword":["equivariant algebraic K-theory","perfection in positive characteristic","affine Grassmannian","affine Schubert varieties","Dennis trace map","equivariant Hochschild homology","fixed-point schemes","toric varieties"],"quality_controlled":"1","external_id":{"arxiv":["2409.18925"]},"year":"2026"},{"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"ddc":["500"],"author":[{"last_name":"Baracco","first_name":"Luca","full_name":"Baracco, Luca"},{"full_name":"Bernardi, Olga","first_name":"Olga","last_name":"Bernardi"},{"full_name":"Florio, Anna","last_name":"Florio","first_name":"Anna"},{"last_name":"Nardi","first_name":"Alessandra","id":"3e9c89df-ff0c-11f0-9fd7-c11e36d36769","full_name":"Nardi, Alessandra"}],"acknowledgement":"Open access funding provided by Università degli Studi di Padova within the CRUI-CARE Agreement. A.F. is partially supported by the ANR project CoSyDy (ANR-CE40-0014), the ANR project GALS (ANR-23-CE40-0001) and PEPS project “Jeuns chercheurs et jeunes chercheuses” 2025. L.B. and O.B. have been partially supported by the PRIN project 2022FPZEES “Stability in Hamiltonian Dynamics and Beyond”.","main_file_link":[{"url":"https://doi.org/10.1007/s10884-026-10528-9","open_access":"1"}],"date_created":"2026-09-17T11:05:59Z","status":"public","doi":"10.1007/s10884-026-10528-9","OA_type":"hybrid","type":"journal_article","researchdata_availability":"no","language":[{"iso":"eng"}],"oa_version":"Published Version","date_updated":"2026-09-24T12:26:26Z","title":"Birkhoff attractors for dissipative symplectic billiards","day":"27","abstract":[{"text":"The aim of the present paper is to propose and study a dissipative variant of symplectic billiards within planar strictly convex domains. The associated billiard map is dissipative, thus it admits a compact invariant set, the so-called Birkhoff attractor. Its complexity depends on the rate of dissipation as well as on the geometry of the billiard table. We prove that (a) for strong dissipation, the Birkhoff attractor is a normally contracted graph over the zero section; (b) for mild dissipation, the Birkhoff attractor within a centrally symmetric domain is an indecomposable continuum whose restricted dynamics has positive topological entropy. We compare these results with those for dissipative Birkhoff billiards, studied in [15].","lang":"eng"}],"year":"2026","external_id":{"arxiv":["2509.13086"]},"quality_controlled":"1","keyword":["Dissipative symplectic billiard","Birkhoff attractor","Conformally symplectic twist map"],"PlanS_conform":"1","publisher":"Springer","scopus_import":"1","supplementarymaterial":"no","fulldoi":"https://doi.org/10.1007/s10884-026-10528-9","publication_identifier":{"eissn":["1572-9222"],"issn":["1040-7294"]},"_id":"22954","publication":"Journal of Dynamics and Differential Equations","arxiv":1,"OA_place":"publisher","has_accepted_license":"1","oa":1,"das_tickbox":"0","department":[{"_id":"VaKa"}],"article_processing_charge":"Yes (via OA deal)","citation":{"ieee":"L. Baracco, O. Bernardi, A. Florio, and A. Nardi, “Birkhoff attractors for dissipative symplectic billiards,” <i>Journal of Dynamics and Differential Equations</i>. Springer, 2026.","apa":"Baracco, L., Bernardi, O., Florio, A., &#38; Nardi, A. (2026). Birkhoff attractors for dissipative symplectic billiards. <i>Journal of Dynamics and Differential Equations</i>. Springer. <a href=\"https://doi.org/10.1007/s10884-026-10528-9\">https://doi.org/10.1007/s10884-026-10528-9</a>","mla":"Baracco, Luca, et al. “Birkhoff Attractors for Dissipative Symplectic Billiards.” <i>Journal of Dynamics and Differential Equations</i>, Springer, 2026, doi:<a href=\"https://doi.org/10.1007/s10884-026-10528-9\">10.1007/s10884-026-10528-9</a>.","ista":"Baracco L, Bernardi O, Florio A, Nardi A. 2026. Birkhoff attractors for dissipative symplectic billiards. Journal of Dynamics and Differential Equations.","short":"L. Baracco, O. Bernardi, A. Florio, A. Nardi, Journal of Dynamics and Differential Equations (2026).","ama":"Baracco L, Bernardi O, Florio A, Nardi A. Birkhoff attractors for dissipative symplectic billiards. <i>Journal of Dynamics and Differential Equations</i>. 2026. doi:<a href=\"https://doi.org/10.1007/s10884-026-10528-9\">10.1007/s10884-026-10528-9</a>","chicago":"Baracco, Luca, Olga Bernardi, Anna Florio, and Alessandra Nardi. “Birkhoff Attractors for Dissipative Symplectic Billiards.” <i>Journal of Dynamics and Differential Equations</i>. Springer, 2026. <a href=\"https://doi.org/10.1007/s10884-026-10528-9\">https://doi.org/10.1007/s10884-026-10528-9</a>."},"month":"07","publication_status":"epub_ahead","date_published":"2026-07-27T00:00:00Z","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"date_created":"2018-12-12T12:31:32Z","acknowledgement":"We thank Vladimir Kolmogorov and Stephan Saalfeld forinspiring discussions.","_id":"5561","author":[{"full_name":"Kainmueller, Dagmar","last_name":"Kainmueller","first_name":"Dagmar"},{"first_name":"Florian","last_name":"Jug","full_name":"Jug, Florian"},{"full_name":"Rother, Carsten","last_name":"Rother","first_name":"Carsten"},{"full_name":"Meyers, Gene","last_name":"Meyers","first_name":"Gene"}],"datarep_id":"57","fulldoi":"https://doi.org/10.15479/AT:ISTA:57","ddc":["000"],"publisher":"Institute of Science and Technology Austria","tmp":{"legal_code_url":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","name":"Creative Commons Public Domain Dedication (CC0 1.0)","image":"/images/cc_0.png","short":"CC0 (1.0)"},"oa":1,"has_accepted_license":"1","type":"research_data","doi":"10.15479/AT:ISTA:57","status":"public","file_date_updated":"2020-07-14T12:47:03Z","abstract":[{"lang":"eng","text":"Graph matching problems as described in \"Active Graph Matching for Automatic Joint Segmentation and Annotation of C. Elegans.\" by Kainmueller, Dagmar and Jug, Florian and Rother, Carsten and Myers, Gene, MICCAI 2014. Problems are in OpenGM2 hdf5 format (see http://hciweb2.iwr.uni-heidelberg.de/opengm/) and a custom text format used by the feature matching solver described in \"Feature Correspondence via Graph Matching: Models and Global Optimization.\" by Lorenzo Torresani, Vladimir Kolmogorov and Carsten Rother, ECCV 2008, code at http://pub.ist.ac.at/~vnk/software/GraphMatching-v1.02.src.zip. "}],"file":[{"content_type":"application/zip","creator":"system","checksum":"3dc3e1306a66028a34181ebef2923139","file_id":"5614","date_created":"2018-12-12T13:02:54Z","access_level":"open_access","file_name":"IST-2017-57-v1+1_wormMatchingProblems.zip","date_updated":"2020-07-14T12:47:03Z","relation":"main_file","file_size":327042819}],"citation":{"ama":"Kainmueller D, Jug F, Rother C, Meyers G. Graph matching problems for annotating C. Elegans. 2017. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:57\">10.15479/AT:ISTA:57</a>","chicago":"Kainmueller, Dagmar, Florian Jug, Carsten Rother, and Gene Meyers. “Graph Matching Problems for Annotating C. Elegans.” Institute of Science and Technology Austria, 2017. <a href=\"https://doi.org/10.15479/AT:ISTA:57\">https://doi.org/10.15479/AT:ISTA:57</a>.","mla":"Kainmueller, Dagmar, et al. <i>Graph Matching Problems for Annotating C. Elegans</i>. Institute of Science and Technology Austria, 2017, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:57\">10.15479/AT:ISTA:57</a>.","ista":"Kainmueller D, Jug F, Rother C, Meyers G. 2017. Graph matching problems for annotating C. Elegans, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:57\">10.15479/AT:ISTA:57</a>.","apa":"Kainmueller, D., Jug, F., Rother, C., &#38; Meyers, G. (2017). Graph matching problems for annotating C. Elegans. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:57\">https://doi.org/10.15479/AT:ISTA:57</a>","short":"D. Kainmueller, F. Jug, C. Rother, G. Meyers, (2017).","ieee":"D. Kainmueller, F. Jug, C. Rother, and G. Meyers, “Graph matching problems for annotating C. Elegans.” Institute of Science and Technology Austria, 2017."},"day":"13","department":[{"_id":"VlKo"}],"article_processing_charge":"No","title":"Graph matching problems for annotating C. Elegans","date_updated":"2024-02-21T13:46:31Z","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","keyword":["graph matching","feature matching","QAP","MAP-inference"],"license":"https://creativecommons.org/publicdomain/zero/1.0/","date_published":"2017-02-13T00:00:00Z","month":"02","year":"2017"}]