arXiv:1001.1822 Abstract | arXiv Analytics

arXiv:1001.1822 [math.PR]Abstract References Reviews Resources

Functional Inequalities via Lyapunov conditions

Published 2010-01-12, updated 2010-01-13Version 2

We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar\'e inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov conditions.

Categories: math.PR, math.FA

Subjects: 26D10, 47D07, 60G10, 60J60

Keywords: lyapunov conditions, functional inequalities, logarithmic sobolev inequality, efficient technique, poincare inequalities

Related articles: Most relevant | Search more

arXiv:0810.5435 [math.PR] (Published 2008-10-30)

A note on Talagrand's transportation inequality and logarithmic Sobolev inequality

Patrick Cattiaux, Arnaud Guillin, Liming Wu

arXiv:0712.0235 [math.PR] (Published 2007-12-03)

Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang, Liming Wu

arXiv:1812.05174 [math.PR] (Published 2018-12-12)

Uncertainty Quantification for Markov Processes via Variational Principles and Functional Inequalities