Decay of correlations, limit theorems, Extreme Value Theory in stationary and non-autonomous dynamical systems

I will present an overview of some of my recent papers on the probabilistic features of dynamical systems in deterministic and random settings. In particular I will focus on the rate of mixing for non-uniformly hyperbolic systems, on limit theorems for sequential systems and on extreme value theory (in the non-stationary setting and with some indications for a program on infinite-dimensional dynamical systems).