Typical recurrence for the ehrenfest wind-tree model

Details Typical recurrence for the ehrenfest wind-tree model Typical recurrence for the ehrenfest wind-tree model

2010-04-20

arxiv.org/abs/1004.3455v1

Journal of Statistical Physics (2010) 60-67

Mathematics

Dynamical Systems

Scientific paper

10.1007/s10955-010-0026-5

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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