Generic hyperbolicity of Aubry sets on surfacesReport as inadecuate

Generic hyperbolicity of Aubry sets on surfaces - Download this document for free, or read online. Document in PDF available to download.

1 CIMAT - Centro de Investigación en Matemáticas 2 Department of Mathematics and Statistics Texas Tech 3 McTAO - Mathematics for Control, Transport and Applications CRISAM - Inria Sophia Antipolis - Méditerranée 4 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : Given a Tonelli Hamiltonian of class C2 on the cotangent bundle of a compact surface, we show that there is an open dense set of potentials in the C2 topology for which the Aubry set is hyperbolic in its energy level.

Author: Gonzalo Contreras - Alessio Figalli - Ludovic Rifford -



Related documents