On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators

被引：27

作者：

Stannat, W ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

ANNALS OF PROBABILITY | 2000年 / 28卷 / 02期

关键词：

Fleming-Viot operators; logarithmic; Sobolev inequalities; hypercontractivity;

D O I：

10.1214/aop/1019160256

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 prove that Fleming-Viot operators with parent-independent mutation satisfy a logarithmic Sobolev inequality if and only if the set of types is finite.

引用

页码：667 / 684

页数：18

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