Criterion for rays landing together
Dynamical Systems
2020-02-11 v3
Abstract
We give a criterion to determine when two external rays land at the same point for polynomials with locally connected Julia sets. As an application, we provide an elementary proof of the monotonicity of the core entropy along arbitrary veins of the Mandelbrot set.
Cite
@article{arxiv.1503.05931,
title = {Criterion for rays landing together},
author = {Jinsong Zeng},
journal= {arXiv preprint arXiv:1503.05931},
year = {2020}
}
Comments
22 pages, 2 figures, writing polished, results unchanged. To appear in Transactions of the American Mathematical Society