10 citations · 12 across the 3 of their papers we have counts for
9 papers
Cramér distance and discretizations of circle expanding maps II: simulations
Pierre-Antoine Guihéneuf, Maurizio Monge
This paper presents some numerical experiments in relation with the theoretical study of the ergodic short-term behaviour of discretizations of expanding maps done in arXiv:2206.07…
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…
Historic behaviour vs. physical measures for irrational flows with multiple stopping points
Martin Andersson, Pierre-Antoine Guihéneuf
We study Birkhoff averages along trajectories of smooth reparameterizations of irrational linear flows of the two torus with two stopping points, say and , o…
Dirac physical measures on saddle-type fixed points
Pablo Guarino, Pierre-Antoine Guihéneuf, Bruno Santiago
In this article we study some statistical aspects of surface diffeomorphisms. We first show that for a generic diffeomorphism, a Dirac invariant measure whose \emph{statistic…
Stability of the rotation set of area-preserving toral homeomorphisms
Pierre-Antoine Guihéneuf, Andres Koropecki
We show that if the rotation set of a homeomorphism of the torus is stable under small perturbations of the dynamics, then it is a convex polygon with rational vertices. We also sh…
On the genericity of the shadowing property for conservative homeomorphisms
Pierre-Antoine Guihéneuf, Thibault Lefeuvre
We prove the genericity of the shadowing and periodic shadowing properties for both conservative and dissipative homeomorphisms on a compact connected manifold. Our proof is valid…