5 citations · 10 across the 9 of their papers we have counts for
10 papers
Counting Cylinders on Z-covers of Genus 2 Square-tiled Surfaces
Mauro Artigiani, Angel Pardo
We count maximal cylinders on zero holonomy -covers of genus square-tiled surfaces, up to -action, obtaining quadratic asymptotics. We also show that th…
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…
Counting problem on 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 show asymptotic…
On cyclic coverings of the torus
Angel Pardo
We study tori which are cyclic covers of the standard torus, that is, the deck transformation group of the covering map is cyclic. These covering tori can be parametrized in a natu…
Square-tiled tori
Angel Pardo
We study square-tiled tori, that is, tori obtained from a finite collection of unit squares by parallel side identifications. Square-tiled tori can be parametrized in a natural way…