Work

Non-recurrent rational maps with disconnected Julia set

Year: 2026

Type: article

Abstract: We prove that every wandering exposed Julia component of a rational map is a singleton, provided that each wandering Julia component containing critical points is non-recurrent. Moreover, we show that the Julia set contains only finitely many periodic complex-type components if each wandering Julia component containing critical values is non-recurrent.

Source: Nonlinearity

DOI: 10.1088/1361-6544/ae54f4

Authors: Yan Gao, Lele Xu, Luxian Yang

Institution: Shenzhen University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G2952693259