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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.
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.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Mathematical Physics Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Mathematical Physics, Analysis |
| Language: | English |
| Date: | 1 January 2020 |
| Deposited On: | 15 Jan 2020 14:16 |
| Last Modified: | 03 Sep 2024 03:38 |
| Publisher: | Elsevier |
| ISSN: | 0294-1449 |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1016/j.anihpc.2017.11.006 |
Avila, Artur