English

Ground States are generically a Periodic Orbit

Dynamical Systems 2019-01-01 v6

Abstract

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

Cite

@article{arxiv.1307.0559,
  title  = {Ground States are generically a Periodic Orbit},
  author = {Gonzalo Contreras},
  journal= {arXiv preprint arXiv:1307.0559},
  year   = {2019}
}

Comments

Corrected proof of Proposition 3.2 from the printed version

R2 v1 2026-06-22T00:43:56.538Z