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math.DSFeb 15, 2021
authors
  • Guan-Zhong Ma
  • Wen-Qiang Shen
  • Xiao Yao
institutions
  • Anyang Normal University
  • Nankai University
  • Northwestern Polytechnical University
arXiv abstractPDF
paper

Multifractal analysis in non-uniformly hyperbolic interval maps

arXiv:2102.07324 · doi:10.1088/1361-6544/ac355d

Abstract

In this paper, we study the Hausdorff dimension of the generalized intrinsic level set with respect to the given ergodic meausre in a class of non-uniformly hyperbolic interval maps with finitely many branches.

References in corpus (2)

  • Pesin theory and equilibrium measures on the interval
  • Lyapunov spectrum for multimodal maps
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