Polynomials with core entropy zero
Dynamical Systems
2025-09-30 v3
Abstract
This paper studies polynomials with core entropy zero. We give several characterizations of polynomials with core entropy zero. In particular, we show that a degree d post-critically finite polynomial f has core entropy zero if and only if f is in the degree d main molecule. The characterizations define several quantities which measure the complexities of polynomials with core entropy zero. We show that these measures are all comparable.
Cite
@article{arxiv.2205.13704,
title = {Polynomials with core entropy zero},
author = {Yusheng Luo and Insung Park},
journal= {arXiv preprint arXiv:2205.13704},
year = {2025}
}