TYPICAL RECURRENCE FOR THE EHRENFEST WIND-TREE MODEL - Archive ouverte HAL Access content directly
Journal Articles Journal of Statistical Physics Year : 2010

TYPICAL RECURRENCE FOR THE EHRENFEST WIND-TREE MODEL

Abstract

We show that the typical wind-tree model, in the sense of Baire, is recurrent and has a dense set of periodic orbits. The recurrence result also holds for the Lorentz gas : the typical Lorentz gas, in the sense of Baire, is recurrent. These Lorentz gases need not be of finite horizon!
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Dates and versions

hal-00474453 , version 1 (20-04-2010)

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Serge Troubetzkoy. TYPICAL RECURRENCE FOR THE EHRENFEST WIND-TREE MODEL. Journal of Statistical Physics, 2010, pp.60-67. ⟨10.1007/s10955-010-0026-5⟩. ⟨hal-00474453⟩
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