Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems
Author:
Affiliation:
1. Laboratoire de Mathématiques Blaise Pascal, CNRS-UMR 6620, Université Clermont-Auvergne (UCA)
2. School of Mathematics and Statistics, Wuhan University
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference34 articles.
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3. BAKRY, D., CATTIAUX, P. and GUILLIN, A. (2008). Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. J. Funct. Anal. 254 727–759.
4. BAUERSCHMIDT, R. and BODINEAU, T. (2019). A very simple proof of the LSI for high temperature spin systems. J. Funct. Anal. 276 2582–2588.
5. BOBKOV, S. and LEDOUX, M. (1997). Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Probab. Theory Related Fields 107 383–400.
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