Berger And Turaev's Proof of Herman's Conjecture of Positive Entropy
arXiv:2003.09329
Abstract
We present the proof of Berger and Turaev of Herman's positive entropy conjecture. In every neighbourhood of identity in the set of smooth symplectic diffeomorphisms of the 2-dimensional disc, there exists a diffeomorphism with positive metric entropy.
arXiv commentin French. Séminaire Bourbaki, Nov 2019, Paris, France