activity
20062026
most citedThe Geometric Dynamical Northcott and Bogomolov Properties

11 citations · 45 across the 26 of their papers we have counts for

collaborators

28 papers

math.DS2026

Rigidity of the Julia set for Hénon-Sibony maps

Gabriel Vigny

Let and be two Hénon-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…

math.DS2025

Quantitative equidistribution of periodic points for rational maps

Thomas Gauthier, Gabriel Vigny

We show that periodic points of period of a complex rational map of degree equidistribute towards the equilibrium measure of the rational map with a rate of convergen…

math.DS2024

Julia sets and bifurcation loci

Thomas Gauthier, Gabriel Vigny

We prove that several dynamically defined fractals in and which arise from different type of polynomial dynamical systems can not be the same objects. O…

math.DS2024

Exponential mixing of all orders and CLT for generic birational maps of

Henry De Thélin, Gabriel Vigny

For Hénon maps, Bianchi and Dinh recently proved the exponential mixing of all orders for the measure of maximal entropy and, as a consequence of the recent work of Björklund and G…

math.DS2023

The Geometric Dynamical Northcott Property in the quadratic family

Thomas Gauthier, Gabriel Vigny

The aim of this note is to give a proof of Theorem A from our work on the geometric Northcott property in the simpler case of the quadratic family; being in dimension in both t…

math.NT2023

Variation of canonical heights of subvarieties for polarized endomorphisms

Thomas Gauthier, Gabriel Vigny

When an endomorphism of a projective variety which is polarized by an ample line bundle , i.e. such that with , is defined over a n…