Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems

被引：0

作者：

Michiko Yuri

机构：

[1] Department of Business Administration,

[2] Sapporo University,undefined

[3] Nishioka,undefined

[4] Toyohira-ku,undefined

[5] Sapporo 062,undefined

[6] Japan. E-mail:yuri@math.sci.hokudai.ac.jp; yuri@mail-ext.sapporo-u.ac.jp,undefined

来源：

Communications in Mathematical Physics | 2002年 / 230卷

关键词：

Periodic Point; Continue Fraction; Gibbs Measure; Multifractal Analysis; Multifractal Formalism;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we establish a multifractal formalism of weak Gibbs measures associated to potentials of weak bounded variation for certain nonhyperbolic systems. We apply our results to Manneville-Pomeau type maps and a piecewise conformal two-dimensional countable Markov map with indifferent periodic points which is related to a complex continued fraction.

引用

页码：365 / 388

页数：23

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