Seminar 3.7.19 Shahidi

Title: Area preserving diffeomorphisms with polynomial decay of correlations

Speaker: Farruh Shahidi (Pennsylvania State University)

Abstract: We show that any surface admits an area preserving C1+α diffeomorphism with non-zero Lyapunov exponents which is Bernoulli and has polynomial decay of correlations. We establish both upper and lower polynomial bounds on correlations (joint work with Ya. Pesin and S.Senti).