Maximizing Core Entropy

Jacob Kewarth

Maximizing Core Entropy

Dynamical Systems 2026-07-16 v1

Authors: Jacob Kewarth

Abstract

Here we study the core entropy function $h: PM(d) \rightarrow \mathbb{R}$ defined on the space of degree $d$ primitive majors, a combinatorial model for the space of degree $d$ polynomials. In particular, we introduce techniques to classify the global maximum for each $d$ and the maxima along certain strata. We show that there are $d-1$ global maxima over all of $PM(d)$ and that the maxima on the unicritical stratum is a Cantor set.

Cite

@article{arxiv.2607.14933,
  title  = {Maximizing Core Entropy},
  author = {Jacob Kewarth},
  journal= {arXiv preprint arXiv:2607.14933},
  year   = {2026}
}