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math.DS2011
Bernoulli equilibrium states for surface diffeomorphisms
Omri Sarig
Suppose f is a surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure…
math.DS2011★ 4 cited
Symbolic dynamics for surface diffeomorphisms with positive topological entropy
Omri Sarig
Suppose f is a C^{1+ε} surface diffeomorphism with positive topological entropy. For every positive δstrictly smaller than the topological entropy of f we construct an invariant Bo…