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Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers
Abstract In this paper we show how to apply classical probabilistic tools for partial sums $\sum _{j=0}^{n-1}\varphi \circ \tau ^j$ generated by a skew product $\tau $ , built over a sufficiently well-mixing base map and a random expanding dynamical system. Under certain regularity assumptions on the observable $\varphi $ …