Dimension Theory for Multimodal Maps

被引：0
|
作者：
Godofredo Iommi
Mike Todd
机构：
[1] Pontificia Universidad Católica de Chile (PUC),Facultad de Matemáticas
[2] University of St Andrews,Mathematical Institute
来源：
Annales Henri Poincaré | 2011年 / 12卷
关键词：
Lyapunov Exponent; Gibbs Measure; Equilibrium Measure; Dimension Theory; Multifractal Analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of dimension theory, in particular multifractal analysis, for multimodal maps. We describe the Lyapunov spectrum and study the multifractal spectrum of pointwise dimension. The lack of regularity of the thermodynamic formalism for this class of maps is reflected in the phase transitions of the spectra.
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页码：591 / 620
页数：29
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