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<p>In this paper, we derive the multifractal spectra for the recurrence rate of the first return time in expanding Markov maps, including the cases returning to the ball and cylinder. The results can be applied to some dynamical systems on fractal sets, such as cookie-cutter systems.</p>

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The multifractal spectra for the recurrence rates of expanding Markov maps

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • Na Yuan,
  • Shuailing Wang

摘要

In this paper, we derive the multifractal spectra for the recurrence rate of the first return time in expanding Markov maps, including the cases returning to the ball and cylinder. The results can be applied to some dynamical systems on fractal sets, such as cookie-cutter systems.