For more information about this meeting, contact Anatole Katok, Dmitri Burago.
| Title: | Thermodynamic formalism for the Henon map at the first bifurcation |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Samuel Senti, Federal University of Rio-de-Janeiro, Brazil. |
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| Abstract: |
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| 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 |
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| Date: | 01 / 23 / 2012 |
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| Time: | 03:35pm - 05:30pm |
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