2 papers
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 converge…
math.DS2024
Hölder estimates and uniformity in arithmetic dynamics
Thomas Gauthier
In this note we study common preperiodic points of rational maps of the Riemann Sphere. We show that given any degrees , outside a Zariski closed subset of the space…