Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature

Author:

Erbar Matthias,Fathi Max

Funder

NSF

French National Research Agency

German Research Foundation

Publisher

Elsevier BV

Subject

Analysis

Reference41 articles.

1. Diffusions hypercontractives;Bakry,1985

2. Analysis and Geometry of Markov Diffusion Operators;Bakry,2014

3. Some new results on eigenvectors via dimension, diameter, and Ricci curvature;Bakry;Adv. Math.,2000

4. Mass transport and variants of the logarithmic Sobolev inequality;Barthe;J. Geom. Anal.,2008

5. Remarks on non-interacting conservative spin systems: the case of gamma distributions;Barthe;Stochastic Process. Appl.,2009

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