Diffusion for the periodic wind-tree model

Details Diffusion for the periodic wind-tree model Diffusion for the periodic wind-tree model

2011-07-09

arxiv.org/abs/1107.1810v3

Mathematics

Dynamical Systems

30 pages, 8 figures; enhanced introduction

Scientific paper

The periodic wind-tree model is an infinite billiard in the plane with
identical rectangular scatterers disposed at each integer point. We prove that
independently of the size of the scatterers, generically with respect to the
angle, the polynomial diffusion rate in this billiard is 2/3.

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