Hausdorff limits of external rays: The topological picture

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We study Hausdorff limits of the external rays of a given periodic angle along a convergent sequence of polynomials of degree (Formula presented.) with connected Julia sets.

OriginalsprogEngelsk
Artikelnummere12598
TidsskriftProceedings of the London Mathematical Society
Vol/bind128
Udgave nummer5
Antal sider48
ISSN0024-6115
DOI
StatusUdgivet - 2024

Bibliografisk note

Funding Information:
We thank H. Inou for his comments, especially on the example illustrated in Figure 11 , and the anonymous referee for providing useful comments and additional references. C. L. P. would like to thank the Danish Council for Independent Research | Natural Sciences for support via grant DFF\u20101026\u201000267B. S. Z. acknowledges the partial support of the Research Foundation of The City University of New York via grant TRADB\u201054\u2010375.

Publisher Copyright:
© 2024 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

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