Corpus ID: 237605445

# Limit theorems for skew products with mixing base maps and expanding on the average fibers without fiberwise centering

@inproceedings{Hafouta2021LimitTF,
title={Limit theorems for skew products with mixing base maps and expanding on the average fibers without fiberwise centering},
author={Yeor Hafouta},
year={2021}
}
In this paper we show how to apply classical probabilistic tools for globally centered partial sums ∑n−1 j=0 φ ◦ τ n generated by skew product τ , built over a sufficiently well mixing base map and a random expanding dynamical system. Under certain regularity assumptions on the observable φ, we obtain a central limit theorem (CLT) with rates, a functional CLT, an almost sure invariance principle (ASIP), a moderate deviations principle, several exponential concentration inequalities and… Expand

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