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Typical Recurrence for the Ehrenfest Wind-Tree Model

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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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  1. Institut de Mathématiques de Luminy, 163 avenue de Luminy, Case 907, 13288, Marseille Cedex 9, France

    Serge Troubetzkoy

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  1. Serge Troubetzkoy
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Correspondence to Serge Troubetzkoy.

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Troubetzkoy, S. Typical Recurrence for the Ehrenfest Wind-Tree Model. J Stat Phys 141, 60–67 (2010). https://doi.org/10.1007/s10955-010-0026-5

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  • DOI: https://doi.org/10.1007/s10955-010-0026-5

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