Logic Seminar

We will describe a new approach to convergence theorems in ergodic theory, which treats amenable groups and non-amenable groups on an equal footing. In particular, this approach gives a natural generalization of the von-Neumann, Birkhoff, and Shannon-McMillan-Breiman theorems to the case of negatively curved groups. We will focus in the talk on the case of free non-Abelian groups where the arguments are direct and easily accessible. Based on joint work with Lewis Bowen, and on joint work with Felix Pogorzelski.