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Erdos-Renyi laws for exponentially and polynomially mixing dynamical systems (2103.00645v1)
Published 28 Feb 2021 in math.DS
Abstract: Erdos-Renyi limit laws give the length scale of a time-window over which time-averages in Birkhoff sums have a non-trivial almost-sure limit. We establish Erdos-Renyi type limit laws for Holder observables on dynamical systems modeled by Young Towers with exponential and polynomial tails. This extends earlier results on Erdos-Renyi limit laws to a broad class of dynamical systems with some degree of hyperbolicity.
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