Minimality of the Ehrenfest wind-tree model

Alba Málaga  Sabogal; Serge  Troubetzkoy

doi:10.3934/jmd.2016.10.209

Article Contents

2016, Volume 10: 209-228. Doi: 10.3934/jmd.2016.10.209

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Minimality of the Ehrenfest wind-tree model

Alba Málaga Sabogal^1, and
Serge Troubetzkoy^1,

1.
Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille

Received: May 31, 2015

Revised: February 29, 2016

Published: May 2016

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Abstract

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.

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Mathematics Subject Classification: Primary: 37D50; Secondary: 37A40, 37B05.

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