 09170 Giampaolo Cristadoro, Marco Lenci, Marcello Seri
 Recurrence for quenched random Lorentz tubes
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Sep 16, 09

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Abstract. We consider the billiard dynamics in a cylinderlike set that is tessellated by countably many translated copies of the same ddimensional polytope. A random configuration of semidispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global choice of scatterers, is called `quenched random Lorentz tube'. For d=2 we prove that, under general conditions, almost every system in the ensemble is recurrent. We then extend the result to more exotic twodimensional tubes and to a fairly large class of ddimensional tubes, with d > 2.
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