Renormalization of Hénon maps with zero entropy

Vortrag von Prof. Dr. Sylvain Crovisier

Sprecher eingeladen von: Prof. Dr. Artur Avila

Datum: 18.11.19  Zeit: 14.00 - 15.00  Raum: ETH HG G 43

De Carvalho, Lyubich and Martens have built a renormalization for the (real) Hénon maps with very small Jacobian and described the boundary of the parameters with zero entropy. With E. Pujals and C. Tresser we extend some of these results up to Jacobian 1/4: any Hénon map with zero entropy can be renormalized. As a consequence, we also obtain a characterization of the sets of periods (answering a conjecture by Tresser).