Work

On dynamics of vertices of locally connected polynomial Julia sets

Year: 2002

Type: article

Abstract: Let P P be a polynomial whose Julia set J J is locally connected. Then a non-preperiodic non-precritical vertex of J J must have the limit set which coincides with the limit set of an appropriately chosen recurrent critical point of P P . In particular, if all critical points of P P are non-recurrent then all vertices of J J are preperiodic or precritical.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-02-06698-4

Authors: A. Blokh, G. Levin

Institutions: University of Alabama at Birmingham, Hebrew University of Jerusalem

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Award: Attractors, Smooth Dynamics and Combinatorics in Low-Dimension