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arXiv · 2602.08178

Large deviations for some unbounded observables in dynamical systems

Anselmo Pontes
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Abstract

In this paper we establish a large deviations type estimate for strongly mixing Markov chains with respect to the Lp norm. As applications we derive such estimates for the iterates of a locally constant random cocycle with mixed rank, as well as for unbounded observables of expanding maps.

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Anselmo Pontes. 2026-02-09. Large deviations for some unbounded observables in dynamical systems. https://arxiv.org/abs/2602.08178

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