Hausdorff limits of external rays: The topological picture-Reference-Cited by-同舟云学术

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Hausdorff limits of external rays: The topological picture

Published:2024-05 Issue:5 Volume:128 Page:
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Petersen Carsten Lunde¹,Zakeri Saeed²³^ORCID

Affiliation:

1. Department of Mathematical Sciences University of Copenhagen Copenhagen Ø Denmark

2. Department of Mathematics Queens College of CUNY Queens New York USA

3. The Graduate Center of CUNY New York New York USA

Abstract

AbstractWe study Hausdorff limits of the external rays of a given periodic angle along a convergent sequence of polynomials of degree with connected Julia sets.

Funder

Research Foundation of The City University of New York

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12598

Reference20 articles.

1. A.Bonifant J.Milnor andS.Sutherland Parabolic implosion and the relative Green's function Preliminary draft 2020.

2. The iteration of cubic polynomials Part I: The global topology of parameter space

3. Virtually repelling fixed points

4. A parabolic Pommerenke–Levin–Yoccoz inequality

5. A.Deniz Entire transcendental maps with two singular values Ph.D. thesis Roskilde University 2013.

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