A Pathwise Approach of Some Classical Inequalities

Author: Cattiaux Patrick  

Publisher: Springer Publishing Company

ISSN: 0926-2601

Source: Potential Analysis, Vol.20, Iss.4, 2004-06, pp. : 361-394

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Abstract

The aim of this pedagogical paper is to show how some renowned inequalities may be obtained via a simple argument: entropy projection from the path space onto finite-dimensional coordinates spaces. Some applications are given: ergodic behaviour, perturbation.