Large deviations for some unbounded observables in dynamical systems
Dynamical Systems
2026-02-10 v1
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.
Cite
@article{arxiv.2602.08178,
title = {Large deviations for some unbounded observables in dynamical systems},
author = {Anselmo Pontes},
journal= {arXiv preprint arXiv:2602.08178},
year = {2026}
}
Comments
This is a preliminary version. Future revisions will further refine the presentation and expand upon the applications. Comments and suggestions are welcome