Some remarks on weighted logarithmic Sobolev inequality

DOI10.1512/iumj.2011.60.4405zbMath1270.26017arXiv1005.3908OpenAlexW2963878008MaRDI QIDQ4905822

Arnaud Guillin, Patrick Cattiaux, Li-ming Wu

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3908

zbMATH Keywords

logarithmic Sobolev inequalityLyapunov functionsTalagrand transportation information inequality

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Markov semigroups and applications to diffusion processes (47D07) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Weighted Poincaré inequalities for non-local Dirichlet forms ⋮ Poincaré and logarithmic Sobolev inequalities for nearly radial measures ⋮ Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity ⋮ Rearrangement and the weighted logarithmic Sobolev inequality ⋮ On weighted logarithmic-Sobolev \& logarithmic-Hardy inequalities ⋮ Asymptotic and spectral properties of exponentially \(\phi\)-ergodic Markov processes ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates ⋮ \(\Phi\)-entropy inequalities and asymmetric covariance estimates for convex measures ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one ⋮ Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities ⋮ Functional inequalities for two-level concentration

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