[{"date_published":"2023-12-01T00:00:00Z","type":"journal_article","publisher":"IEEE","status":"public","month":"12","keyword":["Applied Mathematics","Artificial Intelligence","Computational Theory and Mathematics","Computer Vision and Pattern Recognition","Software"],"language":[{"iso":"eng"}],"ddc":["000"],"quality_controlled":"1","day":"01","page":"14069-14080","has_accepted_license":"1","license":"https://creativecommons.org/licenses/by/4.0/","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"issue":"12","oa":1,"volume":45,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Ali, Dashti","last_name":"Ali","first_name":"Dashti"},{"full_name":"Asaad, Aras","last_name":"Asaad","first_name":"Aras"},{"full_name":"Jimenez, Maria-Jose","last_name":"Jimenez","first_name":"Maria-Jose"},{"last_name":"Nanda","first_name":"Vidit","full_name":"Nanda, Vidit"},{"full_name":"Paluzo-Hidalgo, Eduardo","last_name":"Paluzo-Hidalgo","first_name":"Eduardo"},{"first_name":"Manuel","last_name":"Soriano Trigueros","orcid":"0000-0003-2449-1433","id":"15ebd7cf-15bf-11ee-aebd-bb4bb5121ea8","full_name":"Soriano Trigueros, Manuel"}],"publication":"IEEE Transactions on Pattern Analysis and Machine Intelligence","date_updated":"2024-01-08T10:11:46Z","department":[{"_id":"HeEd"}],"intvolume":"        45","file_date_updated":"2024-01-08T10:09:14Z","oa_version":"Published Version","article_processing_charge":"Yes (in subscription journal)","title":"A survey of vectorization methods in topological data analysis","publication_status":"published","article_type":"original","publication_identifier":{"issn":["0162-8828"],"eissn":["1939-3539"]},"acknowledgement":"The work of Maria-Jose Jimenez, Eduardo Paluzo-Hidalgo and Manuel Soriano-Trigueros was supported in part by the Spanish grant Ministerio de Ciencia e Innovacion under Grants TED2021-129438B-I00 and PID2019-107339GB-I00, and in part by REXASI-PRO H-EU project, call HORIZON-CL4-2021-HUMAN-01-01 under Grant 101070028. The work of\r\nMaria-Jose Jimenez was supported by a grant of Convocatoria de la Universidad de Sevilla para la recualificacion del sistema universitario español, 2021-23, funded by the European Union, NextGenerationEU. The work of Vidit Nanda was supported in part by EPSRC under Grant EP/R018472/1 and in part by US AFOSR under Grant FA9550-22-1-0462. \r\nWe are grateful to the team of GUDHI and TEASPOON developers, for their work and their support. We are also grateful to Streamlit for providing extra resources to deploy the web app\r\nonline on Streamlit community cloud. We thank the anonymous referees for their helpful suggestions.","doi":"10.1109/tpami.2023.3308391","_id":"14739","date_created":"2024-01-08T09:59:46Z","file":[{"content_type":"application/pdf","creator":"dernst","file_id":"14740","checksum":"465c28ef0b151b4b1fb47977ed5581ab","success":1,"access_level":"open_access","file_name":"2023_IEEEToP_Ali.pdf","date_created":"2024-01-08T10:09:14Z","file_size":2370988,"date_updated":"2024-01-08T10:09:14Z","relation":"main_file"}],"abstract":[{"text":"Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In this paper, we study thirteen such methods. Besides describing an organizational framework for these methods, we comprehensively benchmark them against three well-known classification tasks. Surprisingly, we discover that the best-performing method is a simple vectorization, which consists only of a few elementary summary statistics. Finally, we provide a convenient web application which has been designed to facilitate exploration and experimentation with various vectorization methods.","lang":"eng"}],"year":"2023","citation":{"mla":"Ali, Dashti, et al. “A Survey of Vectorization Methods in Topological Data Analysis.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 45, no. 12, IEEE, 2023, pp. 14069–80, doi:<a href=\"https://doi.org/10.1109/tpami.2023.3308391\">10.1109/tpami.2023.3308391</a>.","apa":"Ali, D., Asaad, A., Jimenez, M.-J., Nanda, V., Paluzo-Hidalgo, E., &#38; Soriano Trigueros, M. (2023). A survey of vectorization methods in topological data analysis. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE. <a href=\"https://doi.org/10.1109/tpami.2023.3308391\">https://doi.org/10.1109/tpami.2023.3308391</a>","chicago":"Ali, Dashti, Aras Asaad, Maria-Jose Jimenez, Vidit Nanda, Eduardo Paluzo-Hidalgo, and Manuel Soriano Trigueros. “A Survey of Vectorization Methods in Topological Data Analysis.” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/tpami.2023.3308391\">https://doi.org/10.1109/tpami.2023.3308391</a>.","short":"D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, M. Soriano Trigueros, IEEE Transactions on Pattern Analysis and Machine Intelligence 45 (2023) 14069–14080.","ama":"Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. A survey of vectorization methods in topological data analysis. <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>. 2023;45(12):14069-14080. doi:<a href=\"https://doi.org/10.1109/tpami.2023.3308391\">10.1109/tpami.2023.3308391</a>","ista":"Ali D, Asaad A, Jimenez M-J, Nanda V, Paluzo-Hidalgo E, Soriano Trigueros M. 2023. A survey of vectorization methods in topological data analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence. 45(12), 14069–14080.","ieee":"D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, and M. Soriano Trigueros, “A survey of vectorization methods in topological data analysis,” <i>IEEE Transactions on Pattern Analysis and Machine Intelligence</i>, vol. 45, no. 12. IEEE, pp. 14069–14080, 2023."}},{"arxiv":1,"intvolume":"       163","department":[{"_id":"LaEr"}],"date_updated":"2024-01-16T08:49:51Z","ec_funded":1,"publication":"Stochastic Processes and their Applications","author":[{"full_name":"Ding, Xiucai","last_name":"Ding","first_name":"Xiucai"},{"first_name":"Hong Chang","last_name":"Ji","id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d","full_name":"Ji, Hong Chang"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":163,"oa":1,"citation":{"ieee":"X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” <i>Stochastic Processes and their Applications</i>, vol. 163. Elsevier, pp. 25–60, 2023.","ista":"Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60.","ama":"Ding X, Ji HC. Spiked multiplicative random matrices and principal components. <i>Stochastic Processes and their Applications</i>. 2023;163:25-60. doi:<a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">10.1016/j.spa.2023.05.009</a>","mla":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” <i>Stochastic Processes and Their Applications</i>, vol. 163, Elsevier, 2023, pp. 25–60, doi:<a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">10.1016/j.spa.2023.05.009</a>.","chicago":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">https://doi.org/10.1016/j.spa.2023.05.009</a>.","short":"X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.","apa":"Ding, X., &#38; Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2023.05.009\">https://doi.org/10.1016/j.spa.2023.05.009</a>"},"year":"2023","abstract":[{"lang":"eng","text":"In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩ for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence rates. Moreover, we prove that the non-outlier eigenvalues stick with those of the unspiked matrices and the non-outlier eigenvectors are delocalized. The results also hold near the so-called BBP transition and for degenerate spikes. On one hand, our results can be regarded as a refinement of the counterparts of [12] under additional regularity conditions. On the other hand, they can be viewed as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar random matrix."}],"file":[{"date_created":"2024-01-16T08:47:31Z","file_size":1870349,"date_updated":"2024-01-16T08:47:31Z","relation":"main_file","file_name":"2023_StochasticProcAppl_Ding.pdf","success":1,"access_level":"open_access","checksum":"46a708b0cd5569a73d0f3d6c3e0a44dc","creator":"dernst","file_id":"14806","content_type":"application/pdf"}],"date_created":"2024-01-10T09:29:25Z","_id":"14780","doi":"10.1016/j.spa.2023.05.009","publication_identifier":{"issn":["0304-4149"],"eissn":["1879-209X"]},"acknowledgement":"The authors would like to thank the editor, the associated editor and two anonymous referees for their many critical suggestions which have significantly improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee for many helpful discussions. The first author also wants to thank Hari Bercovici for many useful comments. The first author is partially supported by National Science Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","article_type":"original","publication_status":"published","title":"Spiked multiplicative random matrices and principal components","oa_version":"Published Version","article_processing_charge":"Yes (in subscription journal)","file_date_updated":"2024-01-16T08:47:31Z","ddc":["510"],"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"isi":1,"month":"09","status":"public","publisher":"Elsevier","type":"journal_article","date_published":"2023-09-01T00:00:00Z","external_id":{"arxiv":["2302.13502"],"isi":["001113615900001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"project":[{"call_identifier":"H2020","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"has_accepted_license":"1","page":"25-60","day":"01","quality_controlled":"1"},{"type":"journal_article","date_published":"2022-09-01T00:00:00Z","publisher":"Elsevier","status":"public","month":"09","keyword":["Applied Mathematics","Computer Science Applications","Drug Discovery","General Biochemistry","Genetics and Molecular Biology","Modeling and Simulation"],"ddc":["570"],"language":[{"iso":"eng"}],"quality_controlled":"1","day":"01","has_accepted_license":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"project":[{"_id":"254E9036-B435-11E9-9278-68D0E5697425","name":"Biophysics of information processing in gene regulation","grant_number":"P28844-B27","call_identifier":"FWF"}],"issue":"9","volume":31,"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Zoller, Benjamin","last_name":"Zoller","first_name":"Benjamin"},{"full_name":"Gregor, Thomas","first_name":"Thomas","last_name":"Gregor"},{"full_name":"Tkačik, Gašper","orcid":"1","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","last_name":"Tkačik","first_name":"Gašper"}],"date_updated":"2023-02-13T09:20:34Z","publication":"Current Opinion in Systems Biology","department":[{"_id":"GaTk"}],"intvolume":"        31","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","file_date_updated":"2023-01-24T12:14:10Z","publication_status":"published","title":"Eukaryotic gene regulation at equilibrium, or non?","acknowledgement":"This work was supported through the Center for the Physics of Biological Function (PHYe1734030) and by National Institutes of Health Grants R01GM097275 and U01DK127429 (TG). GT acknowledges the support of the Austrian Science Fund grant FWF P28844 and the Human Frontiers Science Program. ","publication_identifier":{"issn":["2452-3100"]},"article_type":"original","scopus_import":"1","doi":"10.1016/j.coisb.2022.100435","date_created":"2023-01-12T12:08:51Z","file":[{"checksum":"97ef01e0cc60cdc84f45640a0f248fb0","creator":"dernst","file_id":"12362","content_type":"application/pdf","file_size":2214944,"relation":"main_file","date_updated":"2023-01-24T12:14:10Z","date_created":"2023-01-24T12:14:10Z","success":1,"access_level":"open_access","file_name":"2022_CurrentBiology_Zoller.pdf"}],"_id":"12156","abstract":[{"text":"Models of transcriptional regulation that assume equilibrium binding of transcription factors have been less successful at predicting gene expression from sequence in eukaryotes than in bacteria. This could be due to the non-equilibrium nature of eukaryotic regulation. Unfortunately, the space of possible non-equilibrium mechanisms is vast and predominantly uninteresting. The key question is therefore how this space can be navigated efficiently, to focus on mechanisms and models that are biologically relevant. In this review, we advocate for the normative role of theory—theory that prescribes rather than just describes—in providing such a focus. Theory should expand its remit beyond inferring mechanistic models from data, towards identifying non-equilibrium gene regulatory schemes that may have been evolutionarily selected, despite their energy consumption, because they are precise, reliable, fast, or otherwise outperform regulation at equilibrium. We illustrate our reasoning by toy examples for which we provide simulation code.","lang":"eng"}],"citation":{"ista":"Zoller B, Gregor T, Tkačik G. 2022. Eukaryotic gene regulation at equilibrium, or non? Current Opinion in Systems Biology. 31(9), 100435.","ieee":"B. Zoller, T. Gregor, and G. Tkačik, “Eukaryotic gene regulation at equilibrium, or non?,” <i>Current Opinion in Systems Biology</i>, vol. 31, no. 9. Elsevier, 2022.","ama":"Zoller B, Gregor T, Tkačik G. Eukaryotic gene regulation at equilibrium, or non? <i>Current Opinion in Systems Biology</i>. 2022;31(9). doi:<a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">10.1016/j.coisb.2022.100435</a>","mla":"Zoller, Benjamin, et al. “Eukaryotic Gene Regulation at Equilibrium, or Non?” <i>Current Opinion in Systems Biology</i>, vol. 31, no. 9, 100435, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">10.1016/j.coisb.2022.100435</a>.","short":"B. Zoller, T. Gregor, G. Tkačik, Current Opinion in Systems Biology 31 (2022).","chicago":"Zoller, Benjamin, Thomas Gregor, and Gašper Tkačik. “Eukaryotic Gene Regulation at Equilibrium, or Non?” <i>Current Opinion in Systems Biology</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">https://doi.org/10.1016/j.coisb.2022.100435</a>.","apa":"Zoller, B., Gregor, T., &#38; Tkačik, G. (2022). Eukaryotic gene regulation at equilibrium, or non? <i>Current Opinion in Systems Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.coisb.2022.100435\">https://doi.org/10.1016/j.coisb.2022.100435</a>"},"year":"2022","article_number":"100435"},{"title":"The stochastic primitive equations with transport noise and turbulent pressure","publication_status":"epub_ahead","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","doi":"10.1007/s40072-022-00277-3","main_file_link":[{"url":"https://doi.org/10.1007/s40072-022-00277-3","open_access":"1"}],"acknowledgement":"The authors thank the anonymous referees for their helpful comments and suggestions. Open Access funding enabled and organized by Projekt DEAL.","publication_identifier":{"issn":["2194-0401"],"eissn":["2194-041X"]},"article_type":"original","date_created":"2023-01-12T12:12:29Z","_id":"12178","citation":{"short":"A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential Equations: Analysis and Computations (2022).","chicago":"Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s40072-022-00277-3\">https://doi.org/10.1007/s40072-022-00277-3</a>.","apa":"Agresti, A., Hieber, M., Hussein, A., &#38; Saal, M. (2022). The stochastic primitive equations with transport noise and turbulent pressure. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40072-022-00277-3\">https://doi.org/10.1007/s40072-022-00277-3</a>","mla":"Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s40072-022-00277-3\">10.1007/s40072-022-00277-3</a>.","ama":"Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations with transport noise and turbulent pressure. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. 2022. doi:<a href=\"https://doi.org/10.1007/s40072-022-00277-3\">10.1007/s40072-022-00277-3</a>","ieee":"A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive equations with transport noise and turbulent pressure,” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature, 2022.","ista":"Agresti A, Hieber M, Hussein A, Saal M. 2022. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations."},"year":"2022","abstract":[{"lang":"eng","text":"In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal L² regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well."}],"oa":1,"author":[{"last_name":"Agresti","first_name":"Antonio","full_name":"Agresti, Antonio","orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72"},{"first_name":"Matthias","last_name":"Hieber","full_name":"Hieber, Matthias"},{"full_name":"Hussein, Amru","last_name":"Hussein","first_name":"Amru"},{"last_name":"Saal","first_name":"Martin","full_name":"Saal, Martin"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"JuFi"}],"date_updated":"2023-08-16T09:11:38Z","publication":"Stochastics and Partial Differential Equations: Analysis and Computations","quality_controlled":"1","day":"27","type":"journal_article","date_published":"2022-10-27T00:00:00Z","external_id":{"isi":["000874389000001"]},"publisher":"Springer Nature","isi":1,"month":"10","status":"public","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"]},{"title":"Crises and chaotic scattering in hydrodynamic pilot-wave experiments","publication_status":"published","file_date_updated":"2023-01-30T09:41:12Z","oa_version":"Published Version","article_processing_charge":"No","doi":"10.1063/5.0102904","scopus_import":"1","article_type":"original","publication_identifier":{"eissn":["1089-7682"],"issn":["1054-1500"]},"acknowledgement":"This work was partially funded by the Institute of Science and Technology Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos and Quantum Analogies.”","_id":"12259","file":[{"file_size":3209644,"date_updated":"2023-01-30T09:41:12Z","relation":"main_file","date_created":"2023-01-30T09:41:12Z","file_name":"2022_Chaos_Choueiri.pdf","success":1,"access_level":"open_access","checksum":"17881eff8b21969359a2dd64620120ba","creator":"dernst","file_id":"12445","content_type":"application/pdf"}],"date_created":"2023-01-16T09:58:16Z","article_number":"093138","year":"2022","citation":{"mla":"Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>.","short":"G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2022).","chicago":"Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>.","apa":"Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., &#38; Budanur, N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0102904\">https://doi.org/10.1063/5.0102904</a>","ieee":"G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur, “Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32, no. 9. AIP Publishing, 2022.","ista":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. 32(9), 093138.","ama":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(9). doi:<a href=\"https://doi.org/10.1063/5.0102904\">10.1063/5.0102904</a>"},"abstract":[{"text":"Theoretical foundations of chaos have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena, e.g., weather, arise in systems with many (formally infinite) degrees of freedom, which limits direct quantitative analysis of such systems using chaos theory. In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer a bridge between low- and high-dimensional chaotic phenomena by allowing for a systematic study of how the former connects to the latter. Specifically, we present experimental results, which show the formation of low-dimensional chaotic attractors upon destabilization of regular dynamics and a final transition to high-dimensional chaos via the merging of distinct chaotic regions through a crisis bifurcation. Moreover, we show that the post-crisis dynamics of the system can be rationalized as consecutive scatterings from the nonattracting chaotic sets with lifetimes following exponential distributions. ","lang":"eng"}],"oa":1,"volume":32,"author":[{"full_name":"Choueiri, George H","id":"448BD5BC-F248-11E8-B48F-1D18A9856A87","last_name":"Choueiri","first_name":"George H"},{"last_name":"Suri","first_name":"Balachandra","full_name":"Suri, Balachandra","id":"47A5E706-F248-11E8-B48F-1D18A9856A87"},{"id":"4515C308-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5145-4609","full_name":"Merrin, Jack","first_name":"Jack","last_name":"Merrin"},{"first_name":"Maksym","last_name":"Serbyn","orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn"},{"last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","department":[{"_id":"MaSe"},{"_id":"BjHo"},{"_id":"NanoFab"}],"publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","date_updated":"2023-08-04T09:51:17Z","arxiv":1,"intvolume":"        32","quality_controlled":"1","day":"26","issue":"9","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"has_accepted_license":"1","date_published":"2022-09-26T00:00:00Z","external_id":{"arxiv":["2206.01531"],"isi":["000861009600005"]},"type":"journal_article","publisher":"AIP Publishing","month":"09","isi":1,"status":"public","language":[{"iso":"eng"}],"ddc":["530"],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"]},{"day":"01","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"has_accepted_license":"1","issue":"9","publisher":"Embo Press","type":"journal_article","external_id":{"isi":["000856482800001"]},"date_published":"2022-09-01T00:00:00Z","keyword":["Applied Mathematics","Computational Theory and Mathematics","General Agricultural and Biological Sciences","General Immunology and Microbiology","General Biochemistry","Genetics and Molecular Biology","Information Systems"],"ddc":["570"],"language":[{"iso":"eng"}],"status":"public","isi":1,"month":"09","acknowledgement":"This work was in part supported by Human Frontier Science Program GrantRGP0042/2013, Marie Curie Career Integration Grant303507, AustrianScience Fund (FWF) Grant P27201-B22, and German Research Foundation(DFG) Collaborative Research Center (SFB)1310to TB. SAA was supportedby the European Union’s Horizon2020Research and Innovation Programunder the Marie Skłodowska-Curie Grant agreement No707352. We wouldlike to thank the Bollenbach group for regular fruitful discussions. We areparticularly thankful for the technical assistance of Booshini Fernando andfor discussions of the theoretical aspects with Gerrit Ansmann. We areindebted to Bor Kavˇciˇc for invaluable advice, help with setting up theluciferase-based growth monitoring system, and for sharing plasmids. Weacknowledge the IST Austria Miba Machine Shop for their support inbuilding a housing for the stacker of the plate reader, which enabled thehigh-throughput luciferase-based experiments. We are grateful to RosalindAllen, Bor Kavˇciˇc and Dor Russ for feedback on the manuscript. Open Accessfunding enabled and organized by Projekt DEAL.","publication_identifier":{"eissn":["1744-4292"]},"article_type":"original","scopus_import":"1","doi":"10.15252/msb.202110490","oa_version":"Published Version","article_processing_charge":"No","file_date_updated":"2023-01-30T09:49:55Z","title":"Growth‐mediated negative feedback shapes quantitative antibiotic response","publication_status":"published","abstract":[{"text":"Dose–response relationships are a general concept for quantitatively describing biological systems across multiple scales, from the molecular to the whole-cell level. A clinically relevant example is the bacterial growth response to antibiotics, which is routinely characterized by dose–response curves. The shape of the dose–response curve varies drastically between antibiotics and plays a key role in treatment, drug interactions, and resistance evolution. However, the mechanisms shaping the dose–response curve remain largely unclear. Here, we show in Escherichia coli that the distinctively shallow dose–response curve of the antibiotic trimethoprim is caused by a negative growth-mediated feedback loop: Trimethoprim slows growth, which in turn weakens the effect of this antibiotic. At the molecular level, this feedback is caused by the upregulation of the drug target dihydrofolate reductase (FolA/DHFR). We show that this upregulation is not a specific response to trimethoprim but follows a universal trend line that depends primarily on the growth rate, irrespective of its cause. Rewiring the feedback loop alters the dose–response curve in a predictable manner, which we corroborate using a mathematical model of cellular resource allocation and growth. Our results indicate that growth-mediated feedback loops may shape drug responses more generally and could be exploited to design evolutionary traps that enable selection against drug resistance.","lang":"eng"}],"citation":{"ieee":"A. Angermayr, T. Y. Pang, G. Chevereau, K. Mitosch, M. J. Lercher, and M. T. Bollenbach, “Growth‐mediated negative feedback shapes quantitative antibiotic response,” <i>Molecular Systems Biology</i>, vol. 18, no. 9. Embo Press, 2022.","ista":"Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. 2022. Growth‐mediated negative feedback shapes quantitative antibiotic response. Molecular Systems Biology. 18(9), e10490.","ama":"Angermayr A, Pang TY, Chevereau G, Mitosch K, Lercher MJ, Bollenbach MT. Growth‐mediated negative feedback shapes quantitative antibiotic response. <i>Molecular Systems Biology</i>. 2022;18(9). doi:<a href=\"https://doi.org/10.15252/msb.202110490\">10.15252/msb.202110490</a>","chicago":"Angermayr, Andreas, Tin Yau Pang, Guillaume Chevereau, Karin Mitosch, Martin J Lercher, and Mark Tobias Bollenbach. “Growth‐mediated Negative Feedback Shapes Quantitative Antibiotic Response.” <i>Molecular Systems Biology</i>. Embo Press, 2022. <a href=\"https://doi.org/10.15252/msb.202110490\">https://doi.org/10.15252/msb.202110490</a>.","short":"A. Angermayr, T.Y. Pang, G. Chevereau, K. Mitosch, M.J. Lercher, M.T. Bollenbach, Molecular Systems Biology 18 (2022).","apa":"Angermayr, A., Pang, T. Y., Chevereau, G., Mitosch, K., Lercher, M. J., &#38; Bollenbach, M. T. (2022). Growth‐mediated negative feedback shapes quantitative antibiotic response. <i>Molecular Systems Biology</i>. Embo Press. <a href=\"https://doi.org/10.15252/msb.202110490\">https://doi.org/10.15252/msb.202110490</a>","mla":"Angermayr, Andreas, et al. “Growth‐mediated Negative Feedback Shapes Quantitative Antibiotic Response.” <i>Molecular Systems Biology</i>, vol. 18, no. 9, e10490, Embo Press, 2022, doi:<a href=\"https://doi.org/10.15252/msb.202110490\">10.15252/msb.202110490</a>."},"year":"2022","article_number":"e10490","date_created":"2023-01-16T09:58:34Z","file":[{"relation":"main_file","file_size":1098812,"date_created":"2023-01-30T09:49:55Z","date_updated":"2023-01-30T09:49:55Z","file_name":"2022_MolecularSystemsBio_Angermayr.pdf","success":1,"access_level":"open_access","checksum":"8b1d8f5ea20c8408acf466435fb6ae01","content_type":"application/pdf","file_id":"12446","creator":"dernst"}],"_id":"12261","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Angermayr, Andreas","id":"4677C796-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8619-2223","last_name":"Angermayr","first_name":"Andreas"},{"last_name":"Pang","first_name":"Tin Yau","full_name":"Pang, Tin Yau"},{"first_name":"Guillaume","last_name":"Chevereau","full_name":"Chevereau, Guillaume"},{"last_name":"Mitosch","first_name":"Karin","full_name":"Mitosch, Karin","id":"39B66846-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Martin J","last_name":"Lercher","full_name":"Lercher, Martin J"},{"orcid":"0000-0003-4398-476X","id":"3E6DB97A-F248-11E8-B48F-1D18A9856A87","full_name":"Bollenbach, Mark Tobias","first_name":"Mark Tobias","last_name":"Bollenbach"}],"volume":18,"oa":1,"acknowledged_ssus":[{"_id":"M-Shop"}],"intvolume":"        18","date_updated":"2023-08-04T09:51:49Z","publication":"Molecular Systems Biology","department":[{"_id":"ToBo"}]},{"quality_controlled":"1","day":"21","tmp":{"name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png"},"license":"https://creativecommons.org/licenses/by-nd/4.0/","has_accepted_license":"1","issue":"4","external_id":{"isi":["000876763300001"]},"date_published":"2022-10-21T00:00:00Z","type":"journal_article","publisher":"The Electronic Journal of Combinatorics","status":"public","month":"10","isi":1,"keyword":["Computational Theory and Mathematics","Geometry and Topology","Theoretical Computer Science","Applied Mathematics","Discrete Mathematics and Combinatorics"],"language":[{"iso":"eng"}],"ddc":["510"],"file_date_updated":"2023-01-30T11:45:13Z","article_processing_charge":"No","oa_version":"Published Version","title":"Loose cores and cycles in random hypergraphs","publication_status":"published","article_type":"original","acknowledgement":"Supported by Austrian Science Fund (FWF): I3747, W1230.","publication_identifier":{"eissn":["1077-8926"]},"doi":"10.37236/10794","scopus_import":"1","_id":"12286","date_created":"2023-01-16T10:03:57Z","file":[{"date_updated":"2023-01-30T11:45:13Z","relation":"main_file","file_size":626953,"date_created":"2023-01-30T11:45:13Z","success":1,"access_level":"open_access","file_name":"2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf","checksum":"00122b2459f09b5ae43073bfba565e94","content_type":"application/pdf","file_id":"12462","creator":"dernst"}],"abstract":[{"text":"Inspired by the study of loose cycles in hypergraphs, we define the loose core in hypergraphs as a structurewhich mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition at a certain critical threshold and determine this order, as well as the number of edges, asymptotically in the subcritical and supercritical regimes.&#x0D;\r\nOur main tool is an algorithm called CoreConstruct, which enables us to analyse a peeling process for the loose core. By analysing this algorithm we determine the asymptotic degree distribution of vertices in the loose core and in particular how many vertices and edges the loose core contains. As a corollary we obtain an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$.","lang":"eng"}],"year":"2022","article_number":"P4.13","citation":{"mla":"Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” <i>The Electronic Journal of Combinatorics</i>, vol. 29, no. 4, P4.13, The Electronic Journal of Combinatorics, 2022, doi:<a href=\"https://doi.org/10.37236/10794\">10.37236/10794</a>.","apa":"Cooley, O., Kang, M., &#38; Zalla, J. (2022). Loose cores and cycles in random hypergraphs. <i>The Electronic Journal of Combinatorics</i>. The Electronic Journal of Combinatorics. <a href=\"https://doi.org/10.37236/10794\">https://doi.org/10.37236/10794</a>","short":"O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29 (2022).","chicago":"Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles in Random Hypergraphs.” <i>The Electronic Journal of Combinatorics</i>. The Electronic Journal of Combinatorics, 2022. <a href=\"https://doi.org/10.37236/10794\">https://doi.org/10.37236/10794</a>.","ama":"Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. <i>The Electronic Journal of Combinatorics</i>. 2022;29(4). doi:<a href=\"https://doi.org/10.37236/10794\">10.37236/10794</a>","ieee":"O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,” <i>The Electronic Journal of Combinatorics</i>, vol. 29, no. 4. The Electronic Journal of Combinatorics, 2022.","ista":"Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13."},"oa":1,"volume":29,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Cooley, Oliver","id":"43f4ddd0-a46b-11ec-8df6-ef3703bd721d","last_name":"Cooley","first_name":"Oliver"},{"full_name":"Kang, Mihyun","last_name":"Kang","first_name":"Mihyun"},{"full_name":"Zalla, Julian","last_name":"Zalla","first_name":"Julian"}],"publication":"The Electronic Journal of Combinatorics","date_updated":"2023-08-04T10:29:18Z","department":[{"_id":"MaKw"}],"intvolume":"        29"},{"issue":"7","page":"1394-1434","day":"01","quality_controlled":"1","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"isi":1,"month":"07","status":"public","publisher":"Taylor & Francis","type":"journal_article","date_published":"2022-07-01T00:00:00Z","external_id":{"arxiv":["1907.05342"],"isi":["000805689800001"]},"citation":{"ama":"De Nitti N, Fischer JL. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. 2022;47(7):1394-1434. doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>","ista":"De Nitti N, Fischer JL. 2022. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Communications in Partial Differential Equations. 47(7), 1394–1434.","ieee":"N. De Nitti and J. L. Fischer, “Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation,” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7. Taylor &#38; Francis, pp. 1394–1434, 2022.","mla":"De Nitti, Nicola, and Julian L. Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7, Taylor &#38; Francis, 2022, pp. 1394–434, doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>.","apa":"De Nitti, N., &#38; Fischer, J. L. (2022). Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>","chicago":"De Nitti, Nicola, and Julian L Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis, 2022. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>.","short":"N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434."},"year":"2022","abstract":[{"text":"We establish sharp criteria for the instantaneous propagation of free boundaries in solutions to the thin-film equation. The criteria are formulated in terms of the initial distribution of mass (as opposed to previous almost-optimal results), reflecting the fact that mass is a locally conserved quantity for the thin-film equation. In the regime of weak slippage, our criteria are at the same time necessary and sufficient. The proof of our upper bounds on free boundary propagation is based on a strategy of “propagation of degeneracy” down to arbitrarily small spatial scales: We combine estimates on the local mass and estimates on energies to show that “degeneracy” on a certain space-time cylinder entails “degeneracy” on a spatially smaller space-time cylinder with the same time horizon. The derivation of our lower bounds on free boundary propagation is based on a combination of a monotone quantity and almost optimal estimates established previously by the second author with a new estimate connecting motion of mass to entropy production.","lang":"eng"}],"date_created":"2023-01-16T10:06:50Z","_id":"12304","scopus_import":"1","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1907.05342","open_access":"1"}],"doi":"10.1080/03605302.2022.2056702","acknowledgement":"N. De Nitti acknowledges the kind hospitality of IST Austria within the framework of the ISTernship Summer Program 2018, during which most of the present article was written. N. DeNitti has received funding by The Austrian Agency for International Cooperation in Education &Research (OeAD-GmbH) via its financial support of the ISTernship Summer Program 2018. N.De Nitti would also like to thank Giuseppe Coclite, Giuseppe Devillanova, Giuseppe Florio, Sebastian Hensel, and Francesco Maddalena for several helpful conversations on topics related to this work.","publication_identifier":{"issn":["0360-5302"],"eissn":["1532-4133"]},"article_type":"original","title":"Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation","publication_status":"published","oa_version":"Preprint","article_processing_charge":"No","arxiv":1,"intvolume":"        47","department":[{"_id":"JuFi"}],"date_updated":"2023-08-04T10:34:31Z","publication":"Communications in Partial Differential Equations","author":[{"full_name":"De Nitti, Nicola","first_name":"Nicola","last_name":"De Nitti"},{"orcid":"0000-0002-0479-558X","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","full_name":"Fischer, Julian L","first_name":"Julian L","last_name":"Fischer"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":47,"oa":1},{"abstract":[{"text":"This paper is concerned with the sharp interface limit for the Allen--Cahn equation with a nonlinear Robin boundary condition in a bounded smooth domain Ω⊂\\R2. We assume that a diffuse interface already has developed and that it is in contact with the boundary ∂Ω. The boundary condition is designed in such a way that the limit problem is given by the mean curvature flow with constant α-contact angle. For α close to 90° we prove a local in time convergence result for well-prepared initial data for times when a smooth solution to the limit problem exists. Based on the latter we construct a suitable curvilinear coordinate system and carry out a rigorous asymptotic expansion for the Allen--Cahn equation with the nonlinear Robin boundary condition. Moreover, we show a spectral estimate for the corresponding linearized Allen--Cahn operator and with its aid we derive strong norm estimates for the difference of the exact and approximate solutions using a Gronwall-type argument.","lang":"eng"}],"year":"2022","citation":{"mla":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1, Society for Industrial and Applied Mathematics, 2022, pp. 114–72, doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>.","chicago":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics, 2022. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>.","short":"H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.","apa":"Abels, H., &#38; Moser, M. (2022). Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>","ama":"Abels H, Moser M. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. 2022;54(1):114-172. doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>","ieee":"H. Abels and M. Moser, “Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1. Society for Industrial and Applied Mathematics, pp. 114–172, 2022.","ista":"Abels H, Moser M. 2022. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. SIAM Journal on Mathematical Analysis. 54(1), 114–172."},"_id":"12305","date_created":"2023-01-16T10:07:00Z","article_type":"original","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"doi":"10.1137/21m1424925","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2105.08434","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","article_processing_charge":"No","publication_status":"published","title":"Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°","intvolume":"        54","arxiv":1,"publication":"SIAM Journal on Mathematical Analysis","date_updated":"2023-08-04T10:34:56Z","department":[{"_id":"JuFi"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"first_name":"Helmut","last_name":"Abels","full_name":"Abels, Helmut"},{"id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c","full_name":"Moser, Maximilian","first_name":"Maximilian","last_name":"Moser"}],"oa":1,"volume":54,"issue":"1","day":"04","page":"114-172","quality_controlled":"1","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"language":[{"iso":"eng"}],"status":"public","month":"01","isi":1,"publisher":"Society for Industrial and Applied Mathematics","date_published":"2022-01-04T00:00:00Z","external_id":{"arxiv":["2105.08434"],"isi":["000762768000004"]},"type":"journal_article"},{"department":[{"_id":"GradSch"}],"publication":"Cryptography and Communications","date_updated":"2023-09-05T15:35:55Z","intvolume":"        14","volume":14,"author":[{"first_name":"Seyda","last_name":"Köse","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb","full_name":"Köse, Seyda"},{"full_name":"Özbudak, Ferruh","first_name":"Ferruh","last_name":"Özbudak"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"10842","date_created":"2022-03-10T12:16:19Z","year":"2022","citation":{"mla":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>, vol. 14, no. 4, Springer Nature, 2022, pp. 933–48, doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>.","short":"S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.","chicago":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>.","apa":"Köse, S., &#38; Özbudak, F. (2022). Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>","ieee":"S. Köse and F. Özbudak, “Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes,” <i>Cryptography and Communications</i>, vol. 14, no. 4. Springer Nature, pp. 933–948, 2022.","ista":"Köse S, Özbudak F. 2022. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. 14(4), 933–948.","ama":"Köse S, Özbudak F. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. 2022;14(4):933-948. doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>"},"abstract":[{"lang":"eng","text":"We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Solé in [13]. We also give some applications to enumeration of certain generalized double circulant self-dual and linear complementary dual (LCD) codes over some finite rings together with an application in asymptotic coding theory."}],"title":"Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes","publication_status":"published","article_processing_charge":"No","oa_version":"None","doi":"10.1007/s12095-022-00557-8","scopus_import":"1","article_type":"original","acknowledgement":"The authors would like to thank Prof. Dr. Minjia Shi for bringing [13, Conjecture 3.5] to our attention. We would also like to thank the associate editor and anonymous reviewers for their valuable comments and suggestions which improved and clarified the manuscript.","publication_identifier":{"eissn":["1936-2455"],"issn":["1936-2447"]},"month":"07","isi":1,"status":"public","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Theory and Mathematics","Computer Networks and Communications"],"date_published":"2022-07-01T00:00:00Z","external_id":{"isi":["000766422000002"]},"type":"journal_article","publisher":"Springer Nature","issue":"4","quality_controlled":"1","page":"933-948","day":"01"},{"volume":108,"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Aguilera","first_name":"Esteban","full_name":"Aguilera, Esteban"},{"last_name":"Clerc","first_name":"Marcel G.","full_name":"Clerc, Marcel G."},{"first_name":"Valeska","last_name":"Zambra","id":"467ed36b-dc96-11ea-b7c8-b043a380b282","full_name":"Zambra, Valeska"}],"date_updated":"2023-08-03T06:46:54Z","publication":"Nonlinear Dynamics","department":[{"_id":"KiMo"}],"intvolume":"       108","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","file_date_updated":"2022-08-05T06:13:19Z","publication_status":"published","title":"Vortices nucleation by inherent fluctuations in nematic liquid crystal cells","acknowledgement":"The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre for fructified discussions. This work was funded by ANID—Millennium Science Initiative Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353 project.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","publication_identifier":{"issn":["0924-090X"],"eissn":["1573-269X"]},"article_type":"original","scopus_import":"1","doi":"10.1007/s11071-022-07396-5","file":[{"checksum":"7d80cdece4e1b1c2106e6772a9622f60","file_id":"11728","creator":"dernst","content_type":"application/pdf","date_created":"2022-08-05T06:13:19Z","date_updated":"2022-08-05T06:13:19Z","file_size":1416049,"relation":"main_file","access_level":"open_access","success":1,"file_name":"2022_NonlinearDyn_Aguilera.pdf"}],"date_created":"2022-05-02T07:01:59Z","_id":"11343","abstract":[{"text":"Multistable systems are characterized by exhibiting domain coexistence, where each domain accounts for the different equilibrium states. In case these systems are described by vectorial fields, domains can be connected through topological defects. Vortices are one of the most frequent and studied topological defect points. Optical vortices are equally relevant for their fundamental features as beams with topological features and their applications in image processing, telecommunications, optical tweezers, and quantum information. A natural source of optical vortices is the interaction of light beams with matter vortices in liquid crystal cells. The rhythms that govern the emergence of matter vortices due to fluctuations are not established. Here, we investigate the nucleation mechanisms of the matter vortices in liquid crystal cells and establish statistical laws that govern them. Based on a stochastic amplitude equation, the law for the number of nucleated vortices as a function of anisotropy, voltage, and noise level intensity is set. Experimental observations in a nematic liquid crystal cell with homeotropic anchoring and a negative anisotropic dielectric constant under the influence of a transversal electric field show a qualitative agreement with the theoretical findings.","lang":"eng"}],"citation":{"ama":"Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. 2022;108:3209-3218. doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>","ieee":"E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent fluctuations in nematic liquid crystal cells,” <i>Nonlinear Dynamics</i>, vol. 108. Springer Nature, pp. 3209–3218, 2022.","ista":"Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218.","chicago":"Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>.","short":"E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218.","apa":"Aguilera, E., Clerc, M. G., &#38; Zambra, V. (2022). Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>","mla":"Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>, vol. 108, Springer Nature, 2022, pp. 3209–18, doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>."},"year":"2022","type":"journal_article","external_id":{"isi":["000784871800001"]},"date_published":"2022-06-01T00:00:00Z","publisher":"Springer Nature","status":"public","isi":1,"month":"06","keyword":["Electrical and Electronic Engineering","Applied Mathematics","Mechanical Engineering","Ocean Engineering","Aerospace Engineering","Control and Systems Engineering"],"ddc":["530"],"language":[{"iso":"eng"}],"quality_controlled":"1","day":"01","page":"3209-3218","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"has_accepted_license":"1"},{"quality_controlled":"1","day":"15","month":"10","isi":1,"status":"public","language":[{"iso":"eng"}],"ddc":["518"],"keyword":["Computer Science Applications","Physics and Astronomy (miscellaneous)","Applied Mathematics","Computational Mathematics","Modeling and Simulation","Numerical Analysis"],"date_published":"2022-10-15T00:00:00Z","external_id":{"isi":["000917225500013"],"arxiv":["2103.09481"]},"type":"journal_article","publisher":"Elsevier","_id":"11556","date_created":"2022-07-11T12:19:59Z","article_number":"111439","year":"2022","citation":{"short":"A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal of Computational Physics 467 (2022).","chicago":"Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>.","apa":"Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., &#38; Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>","mla":"Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>, vol. 467, 111439, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>.","ama":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. 2022;467. doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>","ieee":"A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov, “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,” <i>Journal of Computational Physics</i>, vol. 467. Elsevier, 2022.","ista":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 467, 111439."},"abstract":[{"lang":"eng","text":"We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the\r\noscillations with respect to fluctuations and noise."}],"publication_status":"published","title":"Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics","oa_version":"Preprint","article_processing_charge":"No","doi":"10.1016/j.jcp.2022.111439","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2103.09481"}],"article_type":"original","acknowledgement":"Zhores supercomputer of Skolkovo Institute of Science and Technology [68] has been used in the present research. S.A.M. was supported by Moscow Center for Fundamental and Applied Mathematics (the agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).","publication_identifier":{"issn":["0021-9991"]},"department":[{"_id":"GradSch"},{"_id":"ChWo"}],"publication":"Journal of Computational Physics","date_updated":"2023-08-03T11:55:06Z","arxiv":1,"intvolume":"       467","oa":1,"volume":467,"author":[{"full_name":"Kalinov, Aleksei","orcid":"0000-0003-2189-3904","id":"44b7120e-eb97-11eb-a6c2-e1557aa81d02","last_name":"Kalinov","first_name":"Aleksei"},{"last_name":"Osinskiy","first_name":"A.I.","full_name":"Osinskiy, A.I."},{"full_name":"Matveev, S.A.","last_name":"Matveev","first_name":"S.A."},{"full_name":"Otieno, W.","last_name":"Otieno","first_name":"W."},{"first_name":"N.V.","last_name":"Brilliantov","full_name":"Brilliantov, N.V."}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"article_processing_charge":"No","oa_version":"Preprint","title":"Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow","publication_status":"published","acknowledgement":"K.D.’s research was supported by an Australian Research Council Discovery Early Career\r\nResearcher Award (DE170100171). B.W., R.A., F.M. and A.M. research was supported by the Spanish Ministerio de Economía y Competitivdad (grant numbers FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant number PID2020-114043GB-I00) and the Generalitat de Catalunya (grant 2017-SGR-785). B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC no. 201806440152).","publication_identifier":{"eissn":["1469-7645"],"issn":["0022-1120"]},"article_type":"original","scopus_import":"1","doi":"10.1017/jfm.2022.828","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2207.12990","open_access":"1"}],"date_created":"2023-01-12T12:04:17Z","_id":"12137","abstract":[{"lang":"eng","text":"We investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram, two of whose sides are aligned with the cylindrical helix described by the spiral pattern. The primary focus of the study is placed on the emergence of drifting–rotating waves (DRW) that capture, in a relatively small domain, the main features of coherent structures typically observed in developed turbulence. The transitional dynamics of the subcritical region, far below the first instability of the laminar circular Couette flow, is determined by the upper and lower branches of DRW solutions originated at saddle-node bifurcations. The mechanism whereby these solutions self-sustain, and the chaotic dynamics they induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably, the flow properties of DRW persist even as the Reynolds number is increased beyond the linear stability threshold of the base flow. Simulations in a narrow parallelogram domain stretched in the azimuthal direction to revolve around the apparatus a full turn confirm that self-sustained vortices eventually concentrate into a localised pattern. The resulting statistical steady state satisfactorily reproduces qualitatively, and to a certain degree also quantitatively, the topology and properties of spiral turbulence as calculated in a large periodic domain of sufficient aspect ratio that is representative of the real system."}],"citation":{"mla":"Wang, B., et al. “Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.” <i>Journal of Fluid Mechanics</i>, vol. 951, A21, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/jfm.2022.828\">10.1017/jfm.2022.828</a>.","short":"B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, A. Meseguer, Journal of Fluid Mechanics 951 (2022).","apa":"Wang, B., Ayats López, R., Deguchi, K., Mellibovsky, F., &#38; Meseguer, A. (2022). Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/jfm.2022.828\">https://doi.org/10.1017/jfm.2022.828</a>","chicago":"Wang, B., Roger Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer. “Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.” <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/jfm.2022.828\">https://doi.org/10.1017/jfm.2022.828</a>.","ista":"Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. 2022. Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. Journal of Fluid Mechanics. 951, A21.","ieee":"B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer, “Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow,” <i>Journal of Fluid Mechanics</i>, vol. 951. Cambridge University Press, 2022.","ama":"Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. Self-sustainment of coherent structures in counter-rotating Taylor–Couette flow. <i>Journal of Fluid Mechanics</i>. 2022;951. doi:<a href=\"https://doi.org/10.1017/jfm.2022.828\">10.1017/jfm.2022.828</a>"},"year":"2022","article_number":"A21","volume":951,"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Wang, B.","first_name":"B.","last_name":"Wang"},{"first_name":"Roger","last_name":"Ayats López","id":"ab77522d-073b-11ed-8aff-e71b39258362","orcid":"0000-0001-6572-0621","full_name":"Ayats López, Roger"},{"first_name":"K.","last_name":"Deguchi","full_name":"Deguchi, K."},{"full_name":"Mellibovsky, F.","last_name":"Mellibovsky","first_name":"F."},{"full_name":"Meseguer, A.","last_name":"Meseguer","first_name":"A."}],"date_updated":"2023-08-04T08:54:16Z","publication":"Journal of Fluid Mechanics","department":[{"_id":"BjHo"}],"intvolume":"       951","arxiv":1,"quality_controlled":"1","day":"07","type":"journal_article","external_id":{"isi":["000879446900001"],"arxiv":["2207.12990"]},"date_published":"2022-11-07T00:00:00Z","publisher":"Cambridge University Press","status":"public","isi":1,"month":"11","keyword":["Mechanical Engineering","Mechanics of Materials","Condensed Matter Physics","Applied Mathematics"],"language":[{"iso":"eng"}]},{"date_updated":"2023-08-04T08:59:14Z","ec_funded":1,"publication":"Regular and Chaotic Dynamics","department":[{"_id":"VaKa"}],"intvolume":"        27","arxiv":1,"volume":27,"oa":1,"related_material":{"link":[{"url":"https://doi.org/10.1134/s1560354722060107","relation":"erratum"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Koudjinan, Edmond","id":"52DF3E68-AEFA-11EA-95A4-124A3DDC885E","orcid":"0000-0003-2640-4049","last_name":"Koudjinan","first_name":"Edmond"},{"first_name":"Vadim","last_name":"Kaloshin","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim"}],"date_created":"2023-01-12T12:06:49Z","_id":"12145","abstract":[{"text":"In the class of strictly convex smooth boundaries each of which has no strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In contrast, we prove that any two elliptic billiard maps are C0-conjugate near their respective boundaries, and C∞-conjugate, near the boundary and away from a line passing through the center of the underlying ellipse. We also prove that, if the billiard maps corresponding to two ellipses are topologically conjugate, then the two ellipses are similar.","lang":"eng"}],"citation":{"ista":"Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.","ieee":"E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022.","ama":"Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. 2022;27(6):525-537. doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>","mla":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>, vol. 27, no. 6, Springer Nature, 2022, pp. 525–37, doi:<a href=\"https://doi.org/10.1134/S1560354722050021\">10.1134/S1560354722050021</a>.","short":"E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.","chicago":"Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” <i>Regular and Chaotic Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>.","apa":"Koudjinan, E., &#38; Kaloshin, V. (2022). On some invariants of Birkhoff billiards under conjugacy. <i>Regular and Chaotic Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1134/S1560354722050021\">https://doi.org/10.1134/S1560354722050021</a>"},"year":"2022","article_processing_charge":"No","oa_version":"Preprint","publication_status":"published","title":"On some invariants of Birkhoff billiards under conjugacy","publication_identifier":{"eissn":["1468-4845"],"issn":["1560-3547"]},"acknowledgement":"We are grateful to the anonymous referees for their careful reading and valuable remarks and\r\ncomments which helped to improve the paper significantly. We gratefully acknowledge support from the European Research Council (ERC) through the Advanced Grant “SPERIG” (#885707).","article_type":"original","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2105.14640","open_access":"1"}],"doi":"10.1134/S1560354722050021","status":"public","isi":1,"month":"10","keyword":["Mechanical Engineering","Applied Mathematics","Mathematical Physics","Modeling and Simulation","Statistical and Nonlinear Physics","Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2022-10-03T00:00:00Z","external_id":{"isi":["000865267300002"],"arxiv":["2105.14640"]},"publisher":"Springer Nature","project":[{"call_identifier":"H2020","grant_number":"885707","name":"Spectral rigidity and integrability for billiards and geodesic flows","_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A"}],"issue":"6","quality_controlled":"1","day":"03","page":"525-537"},{"external_id":{"arxiv":["1910.08286"],"isi":["000600416300004"]},"date_published":"2021-01-01T00:00:00Z","type":"journal_article","publisher":"American Mathematical Society","status":"public","month":"01","isi":1,"keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"quality_controlled":"1","day":"01","page":"37-52","project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020"}],"issue":"1","oa":1,"volume":149,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Brown","first_name":"Adam","full_name":"Brown, Adam","id":"70B7FDF6-608D-11E9-9333-8535E6697425"},{"full_name":"Romanov, Anna","last_name":"Romanov","first_name":"Anna"}],"publication":"Proceedings of the American Mathematical Society","date_updated":"2023-08-04T11:11:47Z","ec_funded":1,"department":[{"_id":"HeEd"}],"intvolume":"       149","arxiv":1,"oa_version":"Preprint","article_processing_charge":"No","title":"Contravariant forms on Whittaker modules","publication_status":"published","article_type":"original","publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"acknowledgement":"We would like to thank Peter Trapa for useful discussions, and Dragan Milicic and Arun Ram for valuable feedback on the structure of the paper. The first author acknowledges the support of the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411. The second author is\r\nsupported by the National Science Foundation Award No. 1803059.","doi":"10.1090/proc/15205","main_file_link":[{"url":"https://arxiv.org/abs/1910.08286","open_access":"1"}],"_id":"8773","date_created":"2020-11-19T10:17:40Z","abstract":[{"text":"Let g be a complex semisimple Lie algebra. We give a classification of contravariant forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose dimension is given by the cardinality of the Weyl group of g. We also describe a procedure for parabolically inducing contravariant forms. As a corollary, we deduce the existence of the Shapovalov form on a Verma module, and provide a formula for the dimension of the space of contravariant forms on the degenerate Whittaker modules M(χ,η) introduced by McDowell.","lang":"eng"}],"year":"2021","citation":{"ieee":"A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 1. American Mathematical Society, pp. 37–52, 2021.","ista":"Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings of the American Mathematical Society. 149(1), 37–52.","ama":"Brown A, Romanov A. Contravariant forms on Whittaker modules. <i>Proceedings of the American Mathematical Society</i>. 2021;149(1):37-52. doi:<a href=\"https://doi.org/10.1090/proc/15205\">10.1090/proc/15205</a>","mla":"Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 1, American Mathematical Society, 2021, pp. 37–52, doi:<a href=\"https://doi.org/10.1090/proc/15205\">10.1090/proc/15205</a>.","short":"A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149 (2021) 37–52.","apa":"Brown, A., &#38; Romanov, A. (2021). Contravariant forms on Whittaker modules. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/15205\">https://doi.org/10.1090/proc/15205</a>","chicago":"Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2021. <a href=\"https://doi.org/10.1090/proc/15205\">https://doi.org/10.1090/proc/15205</a>."}},{"intvolume":"       524","date_updated":"2023-08-08T13:32:40Z","publication":"Journal of Theoretical Biology","department":[{"_id":"GradSch"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Khudiakova, Kseniia","orcid":"0000-0002-6246-1465","id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","last_name":"Khudiakova","first_name":"Kseniia"},{"full_name":"Neretina, Tatiana Yu.","last_name":"Neretina","first_name":"Tatiana Yu."},{"full_name":"Kondrashov, Alexey S.","last_name":"Kondrashov","first_name":"Alexey S."}],"volume":524,"oa":1,"abstract":[{"text":"We report the complete analysis of a deterministic model of deleterious mutations and negative selection against them at two haploid loci without recombination. As long as mutation is a weaker force than selection, mutant alleles remain rare at the only stable equilibrium, and otherwise, a variety of dynamics are possible. If the mutation-free genotype is absent, generally the only stable equilibrium is the one that corresponds to fixation of the mutant allele at the locus where it is less deleterious. This result suggests that fixation of a deleterious allele that follows a click of the Muller’s ratchet is governed by natural selection, instead of random drift.","lang":"eng"}],"citation":{"mla":"Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” <i>Journal of Theoretical Biology</i>, vol. 524, 110729, Elsevier , 2021, doi:<a href=\"https://doi.org/10.1016/j.jtbi.2021.110729\">10.1016/j.jtbi.2021.110729</a>.","chicago":"Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” <i>Journal of Theoretical Biology</i>. Elsevier , 2021. <a href=\"https://doi.org/10.1016/j.jtbi.2021.110729\">https://doi.org/10.1016/j.jtbi.2021.110729</a>.","apa":"Khudiakova, K., Neretina, T. Y., &#38; Kondrashov, A. S. (2021). Two linked loci under mutation-selection balance and Muller’s ratchet. <i>Journal of Theoretical Biology</i>. Elsevier . <a href=\"https://doi.org/10.1016/j.jtbi.2021.110729\">https://doi.org/10.1016/j.jtbi.2021.110729</a>","short":"K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology 524 (2021).","ista":"Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729.","ieee":"K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under mutation-selection balance and Muller’s ratchet,” <i>Journal of Theoretical Biology</i>, vol. 524. Elsevier , 2021.","ama":"Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection balance and Muller’s ratchet. <i>Journal of Theoretical Biology</i>. 2021;524. doi:<a href=\"https://doi.org/10.1016/j.jtbi.2021.110729\">10.1016/j.jtbi.2021.110729</a>"},"article_number":"110729","year":"2021","date_created":"2021-05-12T05:58:42Z","_id":"9387","publication_identifier":{"issn":["0022-5193"]},"acknowledgement":"This work was supported by the Russian Science Foundation grant N 16-14-10173.","article_type":"original","main_file_link":[{"url":"https://www.biorxiv.org/content/10.1101/477489v1","open_access":"1"}],"doi":"10.1016/j.jtbi.2021.110729","oa_version":"Preprint","article_processing_charge":"No","publication_status":"published","title":"Two linked loci under mutation-selection balance and Muller’s ratchet","keyword":["General Biochemistry","Genetics and Molecular Biology","Modelling and Simulation","Statistics and Probability","General Immunology and Microbiology","Applied Mathematics","General Agricultural and Biological Sciences","General Medicine"],"language":[{"iso":"eng"}],"status":"public","isi":1,"month":"04","publisher":"Elsevier ","type":"journal_article","date_published":"2021-04-24T00:00:00Z","external_id":{"isi":["000659161500002"]},"day":"24","quality_controlled":"1"},{"date_created":"2021-11-03T10:59:08Z","file":[{"relation":"main_file","file_size":2305731,"date_created":"2021-12-13T15:47:54Z","date_updated":"2021-12-13T15:47:54Z","file_name":"2021_Springer_Mondelli.pdf","access_level":"open_access","success":1,"checksum":"9ea12dd8045a0678000a3a59295221cb","content_type":"application/pdf","file_id":"10542","creator":"alisjak"}],"_id":"10211","abstract":[{"lang":"eng","text":"We study the problem of recovering an unknown signal 𝑥𝑥 given measurements obtained from a generalized linear model with a Gaussian sensing matrix. Two popular solutions are based on a linear estimator 𝑥𝑥^L and a spectral estimator 𝑥𝑥^s. The former is a data-dependent linear combination of the columns of the measurement matrix, and its analysis is quite simple. The latter is the principal eigenvector of a data-dependent matrix, and a recent line of work has studied its performance. In this paper, we show how to optimally combine 𝑥𝑥^L and 𝑥𝑥^s. At the heart of our analysis is the exact characterization of the empirical joint distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s) in the high-dimensional limit. This allows us to compute the Bayes-optimal combination of 𝑥𝑥^L and 𝑥𝑥^s, given the limiting distribution of the signal 𝑥𝑥. When the distribution of the signal is Gaussian, then the Bayes-optimal combination has the form 𝜃𝑥𝑥^L+𝑥𝑥^s and we derive the optimal combination coefficient. In order to establish the limiting distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s), we design and analyze an approximate message passing algorithm whose iterates give 𝑥𝑥^L and approach 𝑥𝑥^s. Numerical simulations demonstrate the improvement of the proposed combination with respect to the two methods considered separately."}],"citation":{"chicago":"Mondelli, Marco, Christos Thrampoulidis, and Ramji Venkataramanan. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>.","apa":"Mondelli, M., Thrampoulidis, C., &#38; Venkataramanan, R. (2021). Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>","short":"M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics (2021).","mla":"Mondelli, Marco, et al. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>, Springer, 2021, doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>.","ama":"Mondelli M, Thrampoulidis C, Venkataramanan R. Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>","ista":"Mondelli M, Thrampoulidis C, Venkataramanan R. 2021. Optimal combination of linear and spectral estimators for generalized linear models. Foundations of Computational Mathematics.","ieee":"M. Mondelli, C. Thrampoulidis, and R. Venkataramanan, “Optimal combination of linear and spectral estimators for generalized linear models,” <i>Foundations of Computational Mathematics</i>. Springer, 2021."},"year":"2021","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","file_date_updated":"2021-12-13T15:47:54Z","publication_status":"published","title":"Optimal combination of linear and spectral estimators for generalized linear models","acknowledgement":"M. Mondelli would like to thank Andrea Montanari for helpful discussions. All the authors would like to thank the anonymous reviewers for their helpful comments.","publication_identifier":{"issn":["1615-3375"],"eissn":["1615-3383"]},"article_type":"original","scopus_import":"1","doi":"10.1007/s10208-021-09531-x","date_updated":"2023-09-05T14:13:57Z","publication":"Foundations of Computational Mathematics","department":[{"_id":"MaMo"}],"arxiv":1,"oa":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"last_name":"Mondelli","first_name":"Marco","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","orcid":"0000-0002-3242-7020"},{"first_name":"Christos","last_name":"Thrampoulidis","full_name":"Thrampoulidis, Christos"},{"first_name":"Ramji","last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"has_accepted_license":"1","quality_controlled":"1","day":"17","status":"public","isi":1,"month":"08","keyword":["Applied Mathematics","Computational Theory and Mathematics","Computational Mathematics","Analysis"],"ddc":["510"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2021-08-17T00:00:00Z","external_id":{"arxiv":["2008.03326"],"isi":["000685721000001"]},"publisher":"Springer"},{"_id":"10856","date_created":"2022-03-18T09:25:14Z","file":[{"content_type":"application/pdf","creator":"dernst","file_id":"10857","checksum":"7e615ac8489f5eae580b6517debfdc53","file_name":"2021_AnalysisMetricSpaces_Ivanov.pdf","access_level":"open_access","success":1,"file_size":789801,"date_created":"2022-03-18T09:31:59Z","date_updated":"2022-03-18T09:31:59Z","relation":"main_file"}],"year":"2021","citation":{"ista":"Ivanov G, Tsiutsiurupa I. 2021. On the volume of sections of the cube. Analysis and Geometry in Metric Spaces. 9(1), 1–18.","ieee":"G. Ivanov and I. Tsiutsiurupa, “On the volume of sections of the cube,” <i>Analysis and Geometry in Metric Spaces</i>, vol. 9, no. 1. De Gruyter, pp. 1–18, 2021.","ama":"Ivanov G, Tsiutsiurupa I. On the volume of sections of the cube. <i>Analysis and Geometry in Metric Spaces</i>. 2021;9(1):1-18. doi:<a href=\"https://doi.org/10.1515/agms-2020-0103\">10.1515/agms-2020-0103</a>","mla":"Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.” <i>Analysis and Geometry in Metric Spaces</i>, vol. 9, no. 1, De Gruyter, 2021, pp. 1–18, doi:<a href=\"https://doi.org/10.1515/agms-2020-0103\">10.1515/agms-2020-0103</a>.","short":"G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.","apa":"Ivanov, G., &#38; Tsiutsiurupa, I. (2021). On the volume of sections of the cube. <i>Analysis and Geometry in Metric Spaces</i>. De Gruyter. <a href=\"https://doi.org/10.1515/agms-2020-0103\">https://doi.org/10.1515/agms-2020-0103</a>","chicago":"Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.” <i>Analysis and Geometry in Metric Spaces</i>. De Gruyter, 2021. <a href=\"https://doi.org/10.1515/agms-2020-0103\">https://doi.org/10.1515/agms-2020-0103</a>."},"abstract":[{"text":"We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate in a geometric way. We estimate the length of the projection of a vector of the standard basis of Rn onto a k-dimensional subspace that maximizes the volume of the intersection. We \u001cnd the optimal upper bound on the volume of a planar section of the cube [−1, 1]n , n ≥ 2.","lang":"eng"}],"publication_status":"published","title":"On the volume of sections of the cube","file_date_updated":"2022-03-18T09:31:59Z","article_processing_charge":"No","oa_version":"Published Version","doi":"10.1515/agms-2020-0103","scopus_import":"1","article_type":"original","acknowledgement":"The authors acknowledge the support of the grant of the Russian Government N 075-15-\r\n2019-1926. G.I.was supported also by the SwissNational Science Foundation grant 200021-179133. The authors are very grateful to the anonymous reviewer for valuable remarks.","publication_identifier":{"issn":["2299-3274"]},"department":[{"_id":"UlWa"}],"publication":"Analysis and Geometry in Metric Spaces","date_updated":"2023-08-17T07:07:58Z","arxiv":1,"intvolume":"         9","oa":1,"volume":9,"author":[{"full_name":"Ivanov, Grigory","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E","last_name":"Ivanov","first_name":"Grigory"},{"last_name":"Tsiutsiurupa","first_name":"Igor","full_name":"Tsiutsiurupa, Igor"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","issue":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"has_accepted_license":"1","quality_controlled":"1","page":"1-18","day":"29","month":"01","isi":1,"status":"public","language":[{"iso":"eng"}],"ddc":["510"],"keyword":["Applied Mathematics","Geometry and Topology","Analysis"],"date_published":"2021-01-29T00:00:00Z","external_id":{"arxiv":["2004.02674"],"isi":["000734286800001"]},"type":"journal_article","publisher":"De Gruyter"},{"volume":52,"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"9733"}]},"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"ec_funded":1,"date_updated":"2023-09-07T13:30:11Z","publication":"SIAM Journal on Mathematical Analysis","department":[{"_id":"RoSe"}],"intvolume":"        52","arxiv":1,"oa_version":"Preprint","article_processing_charge":"No","publication_status":"published","title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","article_type":"original","scopus_import":"1","doi":"10.1137/19m126284x","main_file_link":[{"url":"https://arxiv.org/abs/1904.08647","open_access":"1"}],"date_created":"2021-08-06T07:34:16Z","_id":"9781","abstract":[{"text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"citation":{"ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1. Society for Industrial &#38; Applied Mathematics , pp. 605–622, 2020.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(1):605-622. doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1, Society for Industrial &#38; Applied Mathematics , 2020, pp. 605–22, doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics , 2020. <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>.","apa":"Feliciangeli, D., &#38; Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics . <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>"},"year":"2020","type":"journal_article","date_published":"2020-02-12T00:00:00Z","external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"publisher":"Society for Industrial & Applied Mathematics ","status":"public","isi":1,"month":"02","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"ddc":["510"],"language":[{"iso":"eng"}],"quality_controlled":"1","day":"12","page":"605-622","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","tmp":{"image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"project":[{"grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"has_accepted_license":"1","issue":"1"},{"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1708.04156"}],"doi":"10.3934/dcds.2019126","publication_identifier":{"issn":["1553-5231"]},"acknowledgement":"The second author has been partially supported by INdAM through the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian Science Fund (FWF) project F 65.","article_type":"original","publication_status":"published","title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","article_processing_charge":"No","oa_version":"Preprint","citation":{"ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. 2019;39(6):3037-3067. doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>","ista":"Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 39(6), 3037–3067.","ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.","short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2019. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>.","apa":"Flandoli, F., Priola, E., &#38; Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>","mla":"Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>."},"year":"2019","abstract":[{"text":"Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles.","lang":"eng"}],"date_created":"2022-03-18T12:33:34Z","_id":"10878","author":[{"full_name":"Flandoli, Franco","last_name":"Flandoli","first_name":"Franco"},{"full_name":"Priola, Enrico","last_name":"Priola","first_name":"Enrico"},{"last_name":"Zanco","first_name":"Giovanni A","full_name":"Zanco, Giovanni A","id":"47491882-F248-11E8-B48F-1D18A9856A87"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","volume":39,"oa":1,"arxiv":1,"intvolume":"        39","department":[{"_id":"JaMa"}],"date_updated":"2023-09-08T11:34:45Z","publication":"Discrete and Continuous Dynamical Systems","page":"3037-3067","day":"01","quality_controlled":"1","issue":"6","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}],"publisher":"American Institute of Mathematical Sciences","type":"journal_article","date_published":"2019-06-01T00:00:00Z","external_id":{"arxiv":["1708.04156"],"isi":["000459954800003"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"isi":1,"month":"06","status":"public"}]