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arXiv 1004.3455math.DS
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Ehrenfest风树模式的典型递推式

Typical recurrence for the ehrenfest wind-tree model

Serge Troubetzkoy

摘要:

我们表明,典型的风树模型,在Baire的意义下,是经常性的,并有一个密集的周期轨道集。递归的结果也适用于洛伦兹气体:典型的洛伦兹气体,在贝尔意义下,是递归的。这些洛仑兹气体不一定是有限视界的!

英文摘要:

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!

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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