2021/02/28 by Haydn, Nicolai, Nicol, Matthew
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2103.00645
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.