Tel Aviv University 
Dear all,
This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:
Speaker: Omri Sarig, Weizmann Institute and Pennsylvania State University
Title: Symbolic dynamics for C^{1+epsilon} surface diffeomorphisms with
positive topological entropy
Date: Monday, March 21
Time: 14:30
Place: Schreiber 309
Suppose f:M -->M is a C^{1+epsilon} diffeomorphism of a compact smooth
manifold of dimension two with topological entropy h>0. For every
0<delta<h, we construct a "delta-large" invariant set E such that f
restricted to E has a countable Markov partition. It follows that f|E is
a finite-to-one factor of a topological Markov shift. "Delta-large" means
that E has full measure for every ergodic invariant measure with entropy
bigger than delta. There are many consequences, for example -- every
ergodic measure of maximal entropy is a finite-to-one factor of a
positive recurrent countable Markov chain, and is therefore isomorphic to
a Bernoulli scheme times a rotation.
Best regards,

Seminar webpage:
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>