Marie-Claude Arnaud gave a talk in Orsay (groupe de travail théorie ergodique) on Aubry-Mather sets for exact symplectic diffeomorphisms of the annulus that deviate the vertical. These are non-empty, compact invariant subsets, which are graphs of Lipschitz functions over a subset of the circle. The set of their rotation number is all of . M.-C. [...]
Posts Tagged ‘smoothness and hyperbolicity’
Aubry-Mather sets: shape and hyperbolicity
Posted in talks, tagged Dynamics, smoothness and hyperbolicity, twist maps on March 30, 2009 | Leave a Comment »