Published Paper
Inserted: 7 jul 2014
Last Updated: 19 aug 2024
Journal: Invent. Math.
Year: 2015
Abstract:
Given a Tonelli Hamiltonian of class $C^2$ on the cotangent bundle of a compact surface, we show that there is an open dense set of potentials in the $C^2$ topology for which the Aubry set is hyperbolic in its energy level.
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