$C^ \infty $ diffeo of the 2-disk preserving a smooth measure $\mu $ with $h_\mu >0$? An ergodic example?

He also asks about entropy of Hamiltonian system in Arnold-Avez

See Katok, A. Bernoulli diffeomorphisms on surfaces. Ann. of Math. (2) 110 (1979), no. 3, 529--547.

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## BHM

He also asks about entropy of Hamiltonian system in Arnold-Avez

## See Katok, A. Bernoulli

See

Katok, A.Bernoulli diffeomorphisms on surfaces.Ann. of Math. (2)110(1979), no. 3, 529--547.## Add a new comment