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 $
, we obtain a central limit theorem (CLT) with rates, a functional CLT, an almost sure invariance principle (ASI… Show more
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