open access publication

Article, 2024

Hausdorff limits of external rays: The topological picture

Proceedings of the London Mathematical Society, ISSN 1460-244X, 0024-6115, Volume 128, 5, 10.1112/plms.12598

Contributors

Petersen, Carsten Lunde 0000-0002-4890-3183 [1] Zakeri, Saeed (Corresponding author) [2] [3]

Affiliations

  1. [1] University of Copenhagen
    2. [NORA names: KU University of Copenhagen; University; Denmark; Europe, EU; Nordic; OECD];
  2. [2] Queens College, CUNY
    3. [NORA names: United States; America, North; OECD];
  3. [3] The Graduate Center, CUNY
    4. [NORA names: United States; America, North; OECD]

Abstract

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

Keywords

Hausdorff, Hausdorff limit, Julia, angle, convergent sequence, degree, external rays, limitations, periodic angle, picture, polynomials of degree, rays, topological picture

Funders

  • Danish Agency for Science and Higher Education

Data Provider: Digital Science

LINKS
-

Matching Records in NORA

SUBJECTS
+

METRICS
+