Dynamics Seminar

Within the context of infinite ergodic theory, I will consider the question of global-local mixing (roughly speaking, the decorrelation between an $L^\infty$ and an $L^1$ observeble) for one-dimensional expanding maps, relative to an infinite measure. Specifically, I will consider classes of full-branched maps of the interval or the real line. After a gentle introduction to the subject, I will give an overview of of a number of theorems showing that, while global-local mixing is expected to be a general result, the techniques to prove it may differ quite a bit. If time permits, I will describe in some technical detail a recent result obtained in collaboration with G. Canestrari.