One of the most efficient tools for studying the mixing rates of certain
classes of dynamical systems is through Young towers: if a given system
admits a tower whose tail of recurrence times decays at a given speed, then
that system admits an absolutely continuous ergodic measure (physical
measure) with mixing rate of the same order. In this talk we characterize
the physical measures which are projected from towers. In a second step we
show that if a physical measure has a certain mixing rate, then that
measure comes from a Young tower with the tail of recurrence times decaying
at related speed.
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Last modified: April 08 2016 - 20:30:35