On logarithmic Sobolev inequalities for continuous time random walks on graphs

被引：28

作者：

Ané, C ^{[1
]}

Ledoux, M ^{[1
]}

机构：

[1] Univ Toulouse 3, CNRS, Lab Stat & Probabil, F-31062 Toulouse, France

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2000年 / 116卷 / 04期

关键词：

D O I：

10.1007/s004400050263

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We establish modified logarithmic Sobolev inequalities for the path distributions of some continuous time random walks on graphs, including the simple examples of the discrete cube and the lattice ZZ(d). Our approach is based on the Malliavin calculus on Poisson spaces developed by J. Picard and stochastic calculus. The inequalities we prove are well adapted to describe the tail behaviour of various functionals such as the graph distance in this setting.

引用

页码：573 / 602

页数：30

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