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Stable CLT for deterministic systems
Published 7 Nov 2022 in math.DS and math.PR | (2211.03448v2)
Abstract: We show that for every ergodic and aperiodic probability preserving transformation and $\alpha\in (0,2)$ there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric $\alpha$-stable distribution.
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