@article{Denker2013ErdsRnyiLF,
title={Erd{\"o}s-R{\'e}nyi laws for dynamical systems},
author={Manfred Denker and Matthew Nicol},
journal={J. London Math. Society},
year={2013},
volume={87},
pages={497-508}
}

We establish Erdös-Rényi limit laws for Lipschitz observations on a class of non-uniformly expanding dynamical systems, including logistic-like maps. These limit laws give the maximal average of a time series over a time window of logarithmic length. We also give results on maximal averages of a time series arising from Hölder observations on intermittent-type maps over a time window of polynomial length. We consider the rate of convergence in the limit law for subshifts of finite type and… CONTINUE READING