5 citations · 10 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…