{"month":"02","citation":{"ama":"Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2402.04151\">10.48550/arXiv.2402.04151</a>","ieee":"K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model,” <i>arXiv</i>. .","apa":"Khudiakova, K., Maas, J., &#38; Pedrotti, F. (n.d.). L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2402.04151\">https://doi.org/10.48550/arXiv.2402.04151</a>","mla":"Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2402.04151\">10.48550/arXiv.2402.04151</a>.","short":"K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.).","ista":"Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2402.04151\">10.48550/arXiv.2402.04151</a>.","chicago":"Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2402.04151\">https://doi.org/10.48550/arXiv.2402.04151</a>."},"language":[{"iso":"eng"}],"corr_author":"1","date_published":"2024-02-07T00:00:00Z","_id":"17352","external_id":{"arxiv":["2402.04151"]},"day":"07","doi":"10.48550/arXiv.2402.04151","author":[{"id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","last_name":"Khudiakova","orcid":"0000-0002-6246-1465","first_name":"Kseniia","full_name":"Khudiakova, Kseniia"},{"last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan","first_name":"Jan","orcid":"0000-0002-0845-1338"},{"last_name":"Pedrotti","id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","first_name":"Francesco","full_name":"Pedrotti, Francesco"}],"project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"},{"name":"The impact of deleterious mutations on small populations","_id":"34d33d68-11ca-11ed-8bc3-ec13763c0ca8","grant_number":"26293"}],"date_created":"2024-07-31T08:07:40Z","year":"2024","abstract":[{"lang":"eng","text":"We prove upper bounds on the $L^\\infty$-Wasserstein distance from optimal\r\ntransport between strongly log-concave probability densities and log-Lipschitz\r\nperturbations. In the simplest setting, such a bound amounts to a\r\ntransport-information inequality involving the $L^\\infty$-Wasserstein metric\r\nand the relative $L^\\infty$-Fisher information. We show that this inequality\r\ncan be sharpened significantly in situations where the involved densities are\r\nanisotropic. Our proof is based on probabilistic techniques using Langevin\r\ndynamics. As an application of these results, we obtain sharp exponential rates\r\nof convergence in Fisher's infinitesimal model from quantitative genetics,\r\ngeneralising recent results by Calvez, Poyato, and Santambrogio in dimension 1\r\nto arbitrary dimensions."}],"oa_version":"Preprint","publication":"arXiv","publication_status":"submitted","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","type":"preprint","status":"public","department":[{"_id":"JaMa"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2402.04151","open_access":"1"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"17336","status":"for_moderation"}]},"date_updated":"2024-07-31T08:56:38Z","oa":1,"title":"L∞-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model","article_processing_charge":"No"}