Ground States are generically a Periodic Orbit

Abstract

We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.

Corrected proof of Proposition 3.2 from the printed version

References in corpus (1)

• Ergodic optimization, zero temperature limits and the max-plus algebra

Cited by in corpus (1)

• Sensitive dependence of Gibbs measures at low temperatures