Criterion for rays landing together

Zeng, Jinsong

doi:10.1090/tran/8088

Criterion for rays landing together

Author: Jinsong Zeng
Journal: Trans. Amer. Math. Soc. 373 (2020), 6479-6502
MSC (2010): Primary 37F45; Secondary 37F10
DOI: https://doi.org/10.1090/tran/8088
Published electronically: May 26, 2020
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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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