15 citations · 17 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
Model sets, almost periodic patterns, uniform density and linear maps
Pierre-Antoine Guihéneuf
This article consists in two independent parts. In the first one, we investigate the geometric properties of almost periodicity of model sets (or cut-and-project sets, defined unde…
Discretizations of isometries
Pierre-Antoine Guihéneuf
This paper deals with the dynamics of discretizations of isometries of , and more precisely the density of the successive images of by the discretization…
Degree of recurrence of generic diffeomorphisms
Pierre-Antoine Guihéneuf
We study spatial discretizations of dynamical systems: is it possible to recover some dynamical features of a system from numerical simulations? Here, we tackle this issue for the…
How roundoff errors help to compute the rotation set of torus homeomorphisms
Pierre-Antoine Guiheneuf
The goals of this paper are to obtain theoretical models of what happens when a computer calculates the rotation set of a homeomorphism, and to find a good algorithm to perform sim…
Dynamical properties of spatial discretizations of a generic homeomorphism
Pierre-Antoine Guiheneuf
This paper concerns the link between the dynamical behaviour of a dynamical system and the dynamical behaviour of its numerical simulations. Here, we model numerical truncation as…