open access publication

Article, 2024

Hausdorff limits of external rays: The topological picture

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, ISSN 0024-6115, 0024-6115, Volume 128, 5, 10.1112/plms.12598

Contributors

Lunde Petersen, Carsten 0000-0002-4890-3183 [1] Zakeri, Saeed (Corresponding author) [2]

Affiliations

  1. [1] Univ Copenhagen, Dept Math Sci, Copenhagen, Denmark
    2. [NORA names: KU University of Copenhagen; University; Denmark; Europe, EU; Nordic; OECD];
  2. [2] CUNY Grad Ctr, New York, NY USA
    3. [NORA names: United States; America, North; OECD]

Abstract

We study Hausdorff limits of the external rays of a given periodic angle along a convergent sequence of polynomials of degree d >= 2$d \geqslant 2$ with connected Julia sets.

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