Poincare recurrence for observations

Dynamical Systems Seminar

Monday, November 26, 2012 : 2:00pm to 3:00pm

University Park Campus
Kaprelian Hall
113


Fan Yang, USC,

Abstract:
Given any abservable function from a measure preserving system to some Euclidean space Rn, Rousseau and Saussol consider the link between the return time for the observation and pointwise dimension of the image of the invariant measure and prove that if the system has a super-polynomial decay of correlations, then the recurrence rates for the observation and the pointwise dimension of the push-forward measure are equal.