7 papers
Diffusion rate in non-generic directions in the wind-tree model
Sylvain Crovisier, Pascal Hubert, Erwan Lanneau +1
We show that any real number in [0,1) is a diffusion rate for the wind-tree model with rational parameters. We will also provide a criterion in order to describe the shape of the L…
Permutation of periodic points of Veech surfaces in
Rodolfo Gutiérrez-Romo, Angel Pardo
We study how are permuted Weierstrass points of Veech surfaces in , the stratum of Abelian differentials on Riemann surfaces in genus two with a single zero of orde…
A remark on -covers of Veech surfaces
Angel Pardo
In this note we are interested in the dynamics of the linear flow on infinite periodic -covers of Veech surfaces. An elementary remark allows us to show that the kern…
Cone types and asymptotic invariants for the random walk on the modular group
Angel Pardo
We compute the cone types of the Cayley graph of the modular group associated with the standard system of generators ${\small\left\{\left(\begin{smallm…
A non-varying phenomenon with an application to the wind-tree model
Angel Pardo
We exhibit a non-varying phenomenon for the counting problem of cylinders, weighted by their area, passing through two marked (regular) Weierstrass points of a translation surface…
Quantitative error term in the counting problem on Veech wind-tree models
Angel Pardo
We study periodic wind-tree models, billiards in the plane endowed with -periodically located identical connected symmetric right-angled obstacles. We exhibit effecti…