A flexibility result for polynomial entropy of pointwise periodic homeomorphisms

Maša Đorić; Jelena Katić; Milan Perić

A flexibility result for polynomial entropy of pointwise periodic homeomorphisms

Dynamical Systems 2026-06-26 v1

Authors: Maša Đorić , Jelena Katić , Milan Perić

Abstract

We construct a family of continua and pointwise periodic homeomorphisms realizing arbitrary polynomial entropy values in $[0,+\infty]$ . In particular, this provides examples of pointwise periodic homeomorphisms with positive polynomial entropy. This contrasts with the fact that pointwise periodic homeomorphisms on connected manifolds and local dendrites have zero polynomial entropy.

Keywords

polynomial entropy pointwise periodic homeomorphisms continua dynamical systems flexibility

Cite

@article{arxiv.2606.28283,
  title  = {A flexibility result for polynomial entropy of pointwise periodic homeomorphisms},
  author = {Maša Đorić and Jelena Katić and Milan Perić},
  journal= {arXiv preprint arXiv:2606.28283},
  year   = {2026}
}