Decay of correlations for random non-uniformly expanding maps

We discuss the decay of correlations along orbits generated by random perturbations of general non-uniformly expanding maps. We present results for different rates - polynomial and (stretched) exponential - according to the hypotheses on the decay of the measure of the 'tail sets'. As applications, we get new estimates for this random decay of correlations for some families of maps (e.g., the Viana maps) and we also re-obtain some known results, sometimes with improvements on the rates, as is the case of the quadratic family.

This is a joint work (in progress) with Xin Li.