T. Gauthier

collaborators

2 papers

math.DS2025

Sparsity of postcritically finite maps of $P^{k}$ and beyond: A complex analytic approach

Thomas Gauthier, Johan Taflin, Gabriel Vigny

An endomorphism $f : P^{k} \to P^{k}$ of degree $d \geq 2$ is said to be postcritically finite (or PCF) if its critical set $Crit (f)$ is preperiodic, i.e. if there…

math.DS2024

Julia sets and bifurcation loci

Thomas Gauthier, Gabriel Vigny

We prove that several dynamically defined fractals in $C$ and $C^{2}$ which arise from different type of polynomial dynamical systems can not be the same objects. O…

Sparsity of postcritically finite maps of Pk and beyond: A complex analytic approach

Julia sets and bifurcation loci

Sparsity of postcritically finite maps of $P^{k}$ and beyond: A complex analytic approach