Pierre-Antoine Guih'eneuf

collaborators

2 papers

math.DS2023

Area preserving homeomorphisms of surfaces with rational rotational direction

Pierre-Antoine Guihéneuf, Patrice Le Calvez, Alejandro Passeggi

Let $S$ be a closed surface of genus $g \geq 2$ , furnished with a Borel probability measure $λ$ with total support. We show that if $f$ is a $λ$ -preserving homeomorphism isotopic to…

math.DS2022

Cramér distance and discretizations of circle expanding maps I: theory

Pierre-Antoine Guihéneuf, Maurizio Monge

This paper is aimed to study the ergodic short-term behaviour of discretizations of circle expanding maps. More precisely, we prove some asymptotics of the distance between the $t$ …