English

On ergodic optimization for unimodal maps

Dynamical Systems 2025-03-11 v2

Abstract

In this article, we show that for a typical non-uniformly expanding unimodal map, the unique maximizing measure of a generic Lipschitz function is supported on a periodic orbit.

Keywords

Cite

@article{arxiv.2405.18083,
  title  = {On ergodic optimization for unimodal maps},
  author = {Bing Gao and Rui Gao},
  journal= {arXiv preprint arXiv:2405.18083},
  year   = {2025}
}

Comments

19 pages, an appendix is added

R2 v1 2026-06-28T16:43:42.091Z