A pathwise approach of some classical inequalities

被引：19

作者：

Cattiaux, P ^{[1
]}

机构：

[1] Ecole Polytech, CMAP, F-91128 Palaiseau, France

[2] Univ Paris 10, UFR SEGMI, Equipe MODALX, F-92001 Nanterre, France

[3] CNRS, F-92001 Nanterre, France

来源：

POTENTIAL ANALYSIS | 2004年 / 20卷 / 04期

关键词：

functional inequalities; relative entropy; Girsanov transform; perturbation;

D O I：

10.1023/B:POTA.0000009847.84908.6f

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：361 / 394

页数：34

共 25 条

[1] LOGARITHMIC SOBOLEV INEQUALITIES AND SPECTRAL GAPS - PERTURBATION-THEORY [J].