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Recurrence for quenched random Lorentz tubes
Marcello Seri
( Erlangen ) Salle 1
le 26 mars 2012 à 14:00
We consider the billiard dynamics in a strip-like set that is tessellated by countably many translated copies of the same polygon. A random configuration of obstacles 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. We prove that, under general conditions, almost every system in the ensemble is recurrent and we present some generalizations.