Henry de Thélin

collaborators

2 papers

math.DS2020

Parametric Lyapunov exponents

Henry De Thélin, Thomas Gauthier, Gabriel Vigny

In an algebraic family of rational maps of $P^{1}$ , we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critica…

math.DS2018

The bifurcation measure has maximal entropy

Henry De Thélin, Thomas Gauthier, Gabriel Vigny

Let $Λ$ be a complex manifold and let $(f_{λ})_{λ \in Λ}$ be a holomorphic family of rational maps of degree $d \geq 2$ of $P^{1}$ . We define a natural notion of entropy of bifu…