Dynamical Systems Seminar

Title: Lyapunov functions: continuous, Lipschitz or smooth? Aubry-Mather Formalism for Homeomorphism.
Speaker: Albert Fathi
Speaker Info: ENS Lyon
Brief Description:
Special Note:

Abstract: Contrary to a widely spread belief continuous Lyaponuv functions cannot be easily smoothed by approximation to smooth Lyapunov functions. We will discuss a few example. We will also see how a weak KAM type of formalism yields to view the chain-reccurent set and the Auslander set (called ussually the gerneralized reccurrent set) as analogues of the Ma\~n\'e and Aubry sets of Lagrangian systems.

This is a work in progress with Ettore Minguzzi and Pierre Pageault.

Date: Tuesday, April 20, 2010
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Dave McClendon
Contact email: dmm@math.northwestern.edu
Contact Phone: 847-467-1298
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