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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

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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Additional Information

Jinsong Zeng
Affiliation: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, People’s Republic of China
MR Author ID: 1050094
Email: jinsongzeng@163.com

DOI: https://doi.org/10.1090/tran/8088
Received by editor(s): January 17, 2018
Received by editor(s) in revised form: August 24, 2019, November 28, 2019, January 5, 2020, and January 12, 2020
Published electronically: May 26, 2020
Additional Notes: The author was partially supported by the China Scholarship Council and the NSFC under grant No.11801106 during the preparation of this paper.
Article copyright: © Copyright 2020 American Mathematical Society