Comptes Rendus
no. 10
Dynamical systems/Mathematical physics
Ergodicity of the Ehrenfest wind–tree model
[Ergodicité du modèle vent–arbre des Ehrenfest]

Présenté par : Claire Voisin

Alba Málaga Sabogal1 ; Serge Troubetzkoy2
1 Département de mathématiques, Bâtiment 425, faculté des sciences d'Orsay, Université Paris-Sud 11, 91405 Orsay cedex, France
2 Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France
Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1032-1036.

We consider aperiodic wind–tree models, and show that, for a generic (in the sense of Baire) configuration, the wind–tree dynamics is ergodic in almost every direction.

Nous considérons une modèle apériodique de vent dans des arbres et nous montrons que, pour une configuration générique (dans le sens de Baire), la dynamique de vent–arbre est ergodique dans presque toutes les directions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.08.008

Alba Málaga Sabogal 1 ; Serge Troubetzkoy 2

1 Département de mathématiques, Bâtiment 425, faculté des sciences d'Orsay, Université Paris-Sud 11, 91405 Orsay cedex, France
2 Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France 
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Alba Málaga Sabogal; Serge Troubetzkoy. Ergodicity of the Ehrenfest wind–tree model. Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1032-1036. doi : 10.1016/j.crma.2016.08.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.08.008/

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