Ergodicity of a non-uniformly hyperbolic dynamical system
by Mikko Stenlund (Helsinki)
Abstract: Uniformly hyperbolic dynamical systems tend to possess
strong statistical properties extending far beyond ergodicity. These
include mixing at an exponential rate, which more or less
automatically yields central limit type theorems. Non-uniformly
hyperbolic systems are harder to analyze, and there exist few
dynamical systems in general for which the mixing rate is known to be
polynomial. I will introduce a new non-uniformly hyperbolic model
which is polynomially mixing. Since the work is ongoing, the talk will
focus on the ergodicity of the system. This is a joint project with
Lai-Sang Young.