ABSTRACT:

We obtain the distribution of extreme values for time-series of observables with a unique maximum and some degree of regularity on certain non-uniformly hyperbolic dynamical systems. Our results apply to discrete-time systems (e.g. intermittency maps, Gibbs Markov maps) and flows (e.g. suspension flows). The main result is that a broad class of non-uniformly hyperbolic systems exhibit the same extreme value statistics as i.i.d processes with the same distribution function. This work is joint with M. Nicol and A. Torok.