MINIMALITY OF THE EHRENFEST WIND-TREE MODEL

Alba Málaga Sabogal (1, 2) , Serge Troubetzkoy (2)

1 LMO - Laboratoire de Mathématiques d'Orsay
2 I2M - Institut de Mathématiques de Marseille

We consider aperiodic wind-tree models, and show that for a generic (in the sense of Baire) configuration the wind-tree dynamics is minimal in almost all directions, and has a dense set of periodic points.

Domaines: Systèmes dynamiques [math.DS]

Alba Málaga Sabogal, Serge Troubetzkoy. MINIMALITY OF THE EHRENFEST WIND-TREE MODEL. Journal of modern dynamics, 2016, ⟨10.3934/jmd.2016.10.209⟩. ⟨hal-01158924v2⟩