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arXiv · 2209.05636

Stable large deviations for deterministic dynamical systems

Jonny Imbierski·Dalia Terhesiu
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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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Jonny Imbierski, Dalia Terhesiu. 2022-09-12. Stable large deviations for deterministic dynamical systems. https://arxiv.org/abs/2209.05636

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