Title: Exponential convergence of volumes, SRB measures and Bernoulli.
Abstract: In this talk I plan to discuss some consequences of the
exponential convergence of volume to an invariant measure for a smooth
system. The plan is to present some examples, discuss some results and
some future problems. The talk is based on joint work with Snir Ben
Ovadia and Dmitry Dolgopyat and Adam Kanigowski in different
combinations.