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<p>We show that for every ergodic and aperiodic probability preserving transformation and <i>α</i> ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric <i>α</i>-stable distribution.</p>

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Stable CLT for deterministic systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月18日

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  • Zemer Kosloff,
  • Dalibor Volný

摘要

We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α-stable distribution.