PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Dmitri Burago.

Title:Thermodynamic formalism for the Henon map at the first bifurcation
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Samuel Senti, Federal University of Rio-de-Janeiro, Brazil.
Abstract:
We study the dynamics of strongly dissipative Henon maps, at the first bifurcation parameter where the uniform hyperbolicity is destroyed by the formation of tangencies inside the limit set. We prove the existence of an equilibrium measure which minimizes the free energy associated with the non continuous potential -t\log J^u, where t is in a certain interval of the form (-\infty, t_0), t_0>0 and J^u denotes the Jacobian in the unstable direction. We also prove the occurrence of a phase transition at which multiple equilibrium measures coexist and the pressure function is not differentiable. This is a joint work with Hiroki Takahasi (University of Tokyo)

Room Reservation Information

Room Number:MB106
Date:01 / 23 / 2012
Time:03:35pm - 05:30pm