PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Stephanie Zerby, Anatole Katok, Federico Rodriguez Hertz.

Title:On a conjecture of Charles Tresser about surfaces diffeomorphisms in the boundary of chaos
Seminar:Dynamical systems seminar
Speaker:Enrique Pujals, Instituto de Matematica Pura e Aplicada, Brazil
Abstract:
Inspired by his initial studies about the boundary of chaos for one-dimensional interval endomorphisms, C. Tresser conjectured that in the space of C^k orientation preserving embedding of the two disk which are area contracting, maps which belongs to the boundary of positive topological entropy exhibit a period doubling cascade. In a joint work with S. Crovisier and C. Tresser we prove such conjecture assuming also that the embedding are in the boundary of zero-entropy systems and are "strongly dissipative". We will relate our results with the problem of (topological) renormalization for two-dimensional diffeormorphisms and Sharkovskii type results.

Room Reservation Information

Room Number:MB114
Date:11 / 09 / 2015
Time:03:35pm - 04:35pm