Typical recurrence for the ehrenfest wind-tree model
arXiv:1004.3455 · doi:10.1007/s10955-010-0026-5
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!