On Harnack inequalities and optimal transportation
نویسندگان
چکیده
منابع مشابه
Submanifolds, Isoperimetric Inequalities and Optimal Transportation
The aim of this paper is to prove isoperimetric inequalities on submanifolds of the Euclidean space using mass transportation methods. We obtain a sharp “weighted isoperimetric inequality” and a nonsharp classical inequality similar to the one obtained in [Mi-Si]. The proof relies on the description of a solution of the problem of Monge when the initial measure is supported in a submanifold and...
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Logarithmic Sobolev inequalities first arose in the analysis of elliptic differential operators in infinite dimensions. Many developments and applications can be found in several survey papers [1, 9, 12]. Recently, Diaconis and Saloff-Coste [8] considered logarithmic Sobolev inequalities for Markov chains. The lower bounds for log-Sobolev constants can be used to improve convergence bounds for ...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2015
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201210_007