Moderate deviations for iterates of expanding maps
نویسنده
چکیده
We provide a mild mixing condition that carries the C.L.T. for normalized empirical means of centered stationary sequence of bounded random variables to the whole range of moderate deviations. It is also key for the exponential convergence of the laws of empirical means. The motivating example for this work are iterates of expanding maps, equipped with their unique invariant measure.
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