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arXiv · 0909.3069

Recurrence for quenched random Lorentz tubes

Giampaolo Cristadoro·Marco Lenci·Marcello Seri
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Abstract

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 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'. We prove that, under general conditions, almost every system in the ensemble is recurrent.

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Giampaolo Cristadoro, Marco Lenci, Marcello Seri. 2010-11-19. Recurrence for quenched random Lorentz tubes. https://doi.org/10.1063/1.3405290

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