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arxiv: 1004.3455 · v1 · submitted 2010-04-20 · 🧮 math.DS

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Typical recurrence for the ehrenfest wind-tree model

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keywords lorentztypicalbairemodelrecurrencerecurrentsensewind-tree
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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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