Polynomials with core entropy zero
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 $ \mathscr{M}_d $. The characterizations define several comparable quantities which measure the complexities of polynomials with core entropy zero and allow us to have a better understanding of the structure of the main molecule in higher degrees.
Fields of Study & Subjects
Mathematical functions and polynomials
Analytic and geometric function theory
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of Modern Dynamics
- Volume
- 22
- Issue
- 0
- Pages
- 73–132
- Publication date
- 1 January 2026