Discrete Beckner inequalities via the Bochner-Bakry-Emery approach for Markov chains

DOI10.1214/16-AAP1258zbMath1374.60144arXiv1511.06250OpenAlexW2963346161MaRDI QIDQ1676439

Wen Yue, Ansgar Jüngel

Publication date: 7 November 2017

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06250

zbMATH Keywords

functional inequalitystochastic particle systemstime-continuous Markov chainentropy decaydiscrete beckner inequality

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (7)

A probabilistic approach to convex \((\phi)\)-entropy decay for Markov chains ⋮ Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics ⋮ A discrete Bakry-Emery method and its application to the porous-medium equation ⋮ Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations ⋮ The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ Displacement convexity for the entropy in semi-discrete non-linear Fokker–Planck equations

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