The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples.
作者信息
Pesin Yakov, Weiss Howard
机构信息
The Pennsylvania State University, University Park, Pennsylvania 16802.
出版信息
Chaos. 1997 Mar;7(1):89-106. doi: 10.1063/1.166242.
DOI:10.1063/1.166242
PMID:12779640
Abstract
We first motivate the study of multifractals. We then present a rigorous mathematical foundation for the multifractal analysis of Gibbs measures invariant under dynamical systems. Finally we effect a complete multifractal analysis for several classes of hyperbolic dynamical systems. (c) 1997 American Institute of Physics.
摘要
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