Generic hyperbolicity of Aubry sets on surfacesReport as inadecuate




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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 -

Source: https://hal.archives-ouvertes.fr/



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