CHARACTERIZATION OF TALAGRAND'S TRANSPORT-ENTROPY INEQUALITIES IN METRIC SPACES.

We give a characterization of transport-entropy inequalities in metric spaces. As an application we deduce that such inequalities are stable under bounded perturbation (Holley-Stroock perturbation Lemma).

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Source ISSN: 0091-1798
Author Gozlan, Nathaël, Roberto, Cyril, Samson, Paul-Marie
Maintainer CCSD
Last Updated May 9, 2026, 11:53 (UTC)
Created May 9, 2026, 11:53 (UTC)
Identifier hal-00598080
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA) ; Université Paris-Est Marne-la-Vallée (UPEM)-Fédération de Recherche Bézout (BEZOUT) ; Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)
creator Gozlan, Nathaël
date 2013-05-09T00:00:00
harvest_object_id 339b5d1b-d3eb-4a25-b967-18f5a7aa89df
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1106.0877
set_spec type:ART