Multifractal analysis of dimension spectrum and the set of irregular points in non-uniformly hyperbolic systems
classification
🧮 math.DS
keywords
dimensionanalysishyperbolicirregularmultifractalnon-uniformlyspectrumsystems
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We study the multifractal analysis of dimension spectrum for almost additive potential in a class of one dimensional non-uniformly hyperbolic dynamic systems and prove that the irregular set has full Hausdroff dimension.
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