Recurrence for the wind-tree model

Annales de l'Institut Henri Poincaré C, Analyse non linéaire（2020）

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摘要

In this paper, we give a geometric criterion ensuring the recurrence of the vertical flow on Zd-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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