On the Lyapunov spectrum of relative transfer operators

被引：7

作者：

Bessa, Mario ^{[1
]}

Stadlbauer, Manuel ^{[2
]}

机构：

[1] Univ Beira Interior, Dept Matemat, Rua Marques Avila & Bolama, P-6201001 Covilha, Portugal

[2] Univ Fed Rio de Janeiro, Dept Matemat, CP 68-530, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

STOCHASTICS AND DYNAMICS | 2016年 / 16卷 / 06期

关键词：

Dominated splitting; relative transfer operator; Lyapunov exponent; MARKOV-CHAINS; MAPS;

D O I：

10.1142/S0219493716500246

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 analyze the Lyapunov spectrum of the relative Ruelle operator associated with a skew product whose base is an ergodic automorphism and whose fibers are full shifts. We prove that these operators can be approximated in the C-0-topology by positive matrices with an associated dominated splitting.

引用

页数：25

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