Jon Aaronson, (TAU)

will speak

mixing of stationary processes generated by smooth dynamical systems.

Abstract:

I'll review some mixing properties of stationary stochastic processes, and how these are generated by smooth dynamical systems using quasi compactness of the relevant transfer operator (a la Doeblin-Fortet). Then, I'll show that beta-expansion processes (more generally, class L map processes) are "reverse phi mixing" (joint work with H. Nakada), thus obtaining natural examples to the asymmetry of "phi mixing" as most (i.e. a.e.) beta-expansion processes are not "forward phi mixing",

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Last update on 20/10/02.