Work

Rigidity of the Julia set for Hénon-Sibony maps

Year: 2026

Type: preprint

Abstract: Let $f$ and $g$ be two Hénon-Sibony maps of $\mathbb{C}^k$. We show that if they have the same forward Julia set, then they share a common iterate, thereby extending Lamy's results from dimension 2.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.20935

Author: Vigny, Gabriel

Institutions: Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162000771

Cites:

Cited by: 3

Related to: 10