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math.DS2013★ 2 cited
Ground States are generically a Periodic Orbit
Gonzalo Contreras
We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
math.DS2013★ 2 cited
Maximizing measures for expanding transformations
Gonzalo Contreras, Artur Lopes, Phillipe Thieullen
On a one-sided shift of finite type we prove that for a generic Holder continuous function there is a unique maximizing measure. We show that b-Holder continuous functions can be a…
math.DS2013★ 22 cited
Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians
Gonzalo Contreras, Renato Iturriaga, Hector Sanchez-Morgado
In this work we prove the existence of Fathi's weak KAM solutions for periodic Lagrangians and give a construction of all of them.