THERMODYNAMICAL FORMALISM ASSOCIATED WITH INDUCING SCHEMES FOR ONE-DIMENSIONAL MAPS

被引：20

作者：

Pesin, Yakov ^{[1
]}

Senti, Samuel ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

MOSCOW MATHEMATICAL JOURNAL | 2005年 / 5卷 / 03期

基金：

瑞士国家科学基金会;

关键词：

Equilibrium measures; Gibbs measures; inducing schemes; thermodynamic formalism; unimodal maps;

D O I：

10.17323/1609-4514-2005-5-3-669-678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a smooth map f of a compact interval I admitting an inducing scheme we establish a thermodynamical formalism, i.e., describe a class of real-valued potential functions phi on I which admit a unique equilibrium measure mu(phi). Our results apply to unimodal maps corresponding to a positive Lebesgue measure set of parameters in a one-parameter transverse family.

引用

页码：669 / 678

页数：10

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