T. Gauthier

activity

20112026

most citedContinuity of the Green function in meromorphic families of polynomials

18 citations · 71 across the 25 of their papers we have counts for

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Showing 2023 · math.DSShow all

3 papers · 2 filters

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 $1$ in both t…

math.DS2023★ 4 cited

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.DS2023

Complex Dynamics of birational maps of $P^{k}$ defined over a number field

Thomas Gauthier, Gabriel Vigny

Jonsson and Reschke showed that birational selfmaps on projective surface defined over a number field satisfy the energy condition of Bedford and Diller so their ergodic properties…

The Geometric Dynamical Northcott Property in the quadratic family

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

Complex Dynamics of birational maps of Pk defined over a number field

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

Complex Dynamics of birational maps of $P^{k}$ defined over a number field