Rigidity of the Julia set for H\'enon-Sibony maps
Dynamical Systems
2026-05-21 v1 Complex Variables
Abstract
Let and be two H\'enon-Sibony maps of . 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.
Cite
@article{arxiv.2605.20935,
title = {Rigidity of the Julia set for H\'enon-Sibony maps},
author = {Gabriel Vigny},
journal= {arXiv preprint arXiv:2605.20935},
year = {2026}
}