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arXiv · 1004.3455

Typical recurrence for the ehrenfest wind-tree model

Serge Troubetzkoy
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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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Serge Troubetzkoy. 2010-04-20. Typical recurrence for the ehrenfest wind-tree model. https://doi.org/10.1007/s10955-010-0026-5

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