---
res:
  bibo_abstract:
  - "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.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Kseniia
      foaf_name: Khudiakova, Kseniia
      foaf_surname: Khudiakova
      foaf_workInfoHomepage: http://www.librecat.org/personId=4E6DC800-AE37-11E9-AC72-31CAE5697425
    orcid: 0000-0002-6246-1465
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Maas, Jan
      foaf_surname: Maas
      foaf_workInfoHomepage: http://www.librecat.org/personId=4C5696CE-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0845-1338
  - foaf_Person:
      foaf_givenName: Francesco
      foaf_name: Pedrotti, Francesco
      foaf_surname: Pedrotti
      foaf_workInfoHomepage: http://www.librecat.org/personId=d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  bibo_doi: 10.48550/arXiv.2402.04151
  dct_date: 2024^xs_gYear
  dct_language: eng
  dct_title: L∞-optimal transport of anisotropic log-concave measures and exponential
    convergence in Fisher's infinitesimal model@
...