# Dynamics Seminar: Omri Sarig (WIS) (Dis)continuity of Lyapunov exponents for surface diffeomorphisms (joint with J. Buzzi and S. Crovisier)

Date:
Tue, 16/03/202114:00-15:00

Abstract: Let f be an infinitely differentiable surface diffeomorphism. Suppose we are given a sequence of ergodic invariant measures m_n which converge weak star to an ergodic limit m.
What do we need to know on m_n to guarantee that the Lyapunov exponents of m_n converge to the Lyapunov exponents of  m?
The main result is that if m has positive entropy, and  the entropy of m_n converges to the entropy of m, then the Lyapunov exponents of m_n converge to the Lyapunov exponents of m.
This is joint work with J. Buzzi and S. Crovisier.

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