# 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.

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## Additional indexing

Item Type: Journal Article, not_refereed, original work 07 Faculty of Science > Institute of Mathematics 340 Law 610 Medicine & health 510 Mathematics Mathematical Physics, Analysis English 1 January 2020 15 Jan 2020 14:16 15 Jan 2020 14:17 Elsevier 0294-1449 Closed Publisher DOI. An embargo period may apply. https://doi.org/10.1016/j.anihpc.2017.11.006

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