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Journal of Modern Dynamics (JMD)
 

Minimality of the Ehrenfest wind-tree model

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

 
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Alba Málaga Sabogal - Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France (email)
Serge Troubetzkoy - Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France (email)

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.

Keywords:  Wind-tree, minimality, periodic orbit.
Mathematics Subject Classification:  Primary: 37D50; Secondary: 37A40, 37B05.

Received: June 2015;      Revised: March 2016;      Available Online: June 2016.

 References