Many dynamical systems behave similarly to a stochastic process; they are (very loosely) called "chaotic". The course aims to illustrate several different techniques for studying and making precise such phenomena (invariant measures, linear response, decay of correlations, Central limit Theorem, Large deviations, Invariance principle, extreme values statistics ....), by analyzing increasingly general classes of systems. More precisely:
I will try to provide some notes for the material that cannot be easily found in print. Some of the topics can be found in: