The Ehrenfest Wind-tree Model: Periodic Directions, Recurrence, Diffusion
نویسندگان
چکیده
We study periodic wind-tree models, unbounded planar billiards with periodically located rectangular obstacles. For a class of rational parameters we show the existence of completely periodic directions, and recurrence; for another class of rational parameters, there are directions in which all trajectories escape, and we prove a rate of escape for almost all directions. These results extend to a dense Gδ of parameters.
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