open access publication

Article, 2024

Hausdorff limits of external rays: The topological picture

Proceedings of the London Mathematical Society, ISSN 0024-6115, Volume 128, 5, 10.1112/plms.12598

Contributors

Petersen C.L. 0000-0002-4890-3183 [1] Zakeri S. 0000-0002-2171-9554 (Corresponding author) [2] [3]

Affiliations

  1. [1] University of Copenhagen
  2. [NORA names: KU University of Copenhagen; University; Denmark; Europe, EU; Nordic; OECD];
  3. [2] City University of New York
  4. [NORA names: United States; America, North; OECD];
  5. [3] Queens College
  6. [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 (Formula presented.) with connected Julia sets.

Funders

  • Natur og Univers, Det Frie Forskningsråd
  • City University of New York

Data Provider: Elsevier