Stable large deviations for deterministic dynamical systems

Published 12 Sep 2022 in math.PR and math.DS | (2209.05636v3)

Abstract: We obtain large deviations for a class of dependent random variables in the domain of attraction of an $\alpha$-stable law, $\alpha\in (0, 1)\cup (1, 2]$. This class includes ergodic sums of observables in the domain of attraction of an $\alpha$-stable law driven by Gibbs-Markov maps.

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