Deviation and concentration inequalities for dynamical systems with subexponential decay of correlation

C Cuny, J Dedecker, F Merlevède

Published 2022-01-25Version 1

We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations. In the large deviation regime, we also exhibit examples showing that the obtained upper bounds are essentially optimal.