3 papers
math.DS2023
Parabolic isometries of the fine curve graph of the torus
Pierre-Antoine Guiheneuf, Emmanuel Militon
In this article we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb in \cite{BHMMW}. This i…
math.DS2020
Théorie de forçage des homéomorphismes de surface [d'après Le Calvez et Tal]
Pierre-Antoine Guiheneuf
In 1912 Brouwer published his translation theorem, which implies, for example, that an orientation preserving homeomorphism of the plane having a periodic point also has a fixed po…
math.DS2019
Dynamical behavior of a nondiffusive scheme for the advection equation
Nina Aguillon, Pierre-Antoine Guiheneuf
We study the long time behaviour of a dynamical system strongly linked to the anti-diffusive scheme of Després and Lagoutiere for the -dimensional transport equation. This schem…