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<p>We establish a maximal large deviation principle for sequential dynamical systems with arbitrarily slow polynomial decay of correlations. We apply our result to a larger class of sequential interval maps, including Liverani-Saussol-Vaienti maps, intermittent maps with critical points, and Lasota-Yorke convex maps. We also recover several classical results on large deviations for these maps.</p>

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Maximal large deviations for sequential dynamical systems

  • 期刊论文

  • 发表日期：

    2025年11月14日

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  • Hongfei Cui,
  • Can Wang

摘要

We establish a maximal large deviation principle for sequential dynamical systems with arbitrarily slow polynomial decay of correlations. We apply our result to a larger class of sequential interval maps, including Liverani-Saussol-Vaienti maps, intermittent maps with critical points, and Lasota-Yorke convex maps. We also recover several classical results on large deviations for these maps.