HAUSDORFF DIMENSION OF THE IRREGULAR SET IN NON-UNIFORMLY HYPERBOLIC SYSTEMS

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY(2017)

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摘要
We prove that the irregular set is either empty or full of Hausdorff dimension in a class of one-dimensional non-uniformly hyperbolic dynamic systems.
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关键词
Irregular Set,Moran Set,Non-uniformly Hyperbolic
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