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arxiv: 0909.3069 · v2 · pith:OB5FIAAPnew · submitted 2009-09-16 · 🧮 math.DS

Recurrence for quenched random Lorentz tubes

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keywords randomensemblelorentzquenchedscatterersalmostbilliardcalled
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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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