Criterion for rays landing together

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.

22 pages, 2 figures, writing polished, results unchanged. To appear in Transactions of the American Mathematical Society

References in corpus (2)

• Core entropy and biaccessibility of quadratic polynomials
• Core entropy of quadratic polymonials

Cited by in corpus (1)

• The core entropy for polynomials of higher degree