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arXiv · 2607.14933

Maximizing Core Entropy

Jacob Kewarth
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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.

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Jacob Kewarth. 2026-07-16. Maximizing Core Entropy. https://arxiv.org/abs/2607.14933

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