1 citations · 1 across the 3 of their papers we have counts for
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.DS2022★ 1 cited
Homotopic rotation sets for higher genus surfaces
Pierre-Antoine Guihéneuf, Emmanuel Militon
This paper states a definition of homotopic rotation set for higher genus surface homeomorphisms, as well as a collection of results that justify this definition. We first prove el…
math.DS2014
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…