Extreme Value Theory with Spectral Techniques: application to a simple attractor

Jason Atnip, Nicolai Haydn, Sandro Vaienti

Published 2020-02-25Version 1

We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the baker's map and we will get a precise formula for the extremal index. We will also show that the statistics of the number of visits in small sets is compound Poisson distributed.