# Recurrence for the wind-tree model

Avila, Artur; Hubert, Pascal (2020). Recurrence for the wind-tree model. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 37(1):1-11.

## Abstract

In this paper, we give a geometric criterion ensuring the recurrence of the vertical flow on $Z^d$-covers of compact translation surfaces (d≥2). We prove that the linear flow in the wind-tree model is recurrent for every pair of parameters and almost every direction.

## Abstract

In this paper, we give a geometric criterion ensuring the recurrence of the vertical flow on $Z^d$-covers of compact translation surfaces (d≥2). We prove that the linear flow in the wind-tree model is recurrent for every pair of parameters and almost every direction.

## Statistics

### Citations

Dimensions.ai Metrics
8 citations in Web of Science®
8 citations in Scopus®