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：
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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.
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页码：365 / 388
页数：23
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