A SPECTRAL THEOREM AND ITS APPLICATION TO LIPSCHITZIAN KERNELS

被引：148

作者：

HENNION, H

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 02期

关键词：

MARKOV CHAINS; LIMIT THEOREMS; RUELLE THEOREM;

D O I：

10.2307/2160348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this note is to point out that the Ionescu Tulcea and Marinescu theorem can be reinforced, using a Nussbaum formula for the essential spectral radius of an operator. In this stronger version, this theorem is suitable for the spectral analysis of lipschitzian, positive, not necessarily markovian kernels, Ruelle theorem follows. As an application to Probability Theory, a large deviation theorem is proved.

引用

页码：627 / 634

页数：8

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