Criterion for rays landing together

Zeng, Jinsong

doi:10.1090/tran/8088

Criterion for rays landing together
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by Jinsong Zeng PDF

Trans. Amer. Math. Soc. 373 (2020), 6479-6502 Request permission

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.

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