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<p>We propose a notion of random horseshoe for one-dimensional random dynamical systems with non-uniform expansion, and we provide sufficient conditions that guarantee their abundant existence, which is shown to hold for a class of non-uniformly expanding random circle endomorphisms with bounded additive noise.</p>

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Horseshoes for a Class of Nonuniformly Expanding Random Circle Maps

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月5日

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  • Jeroen S. W. Lamb,
  • Giuseppe Tenaglia,
  • Dmitry Turaev

摘要

We propose a notion of random horseshoe for one-dimensional random dynamical systems with non-uniform expansion, and we provide sufficient conditions that guarantee their abundant existence, which is shown to hold for a class of non-uniformly expanding random circle endomorphisms with bounded additive noise.