We consider the billiard dynamics in a striplike 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.
G. Cristadoro, M. Lenci, M. Seri (2010). Recurrence for quenched random Lorentz tubes. CHAOS, 20, 023115-1-023115-7 [10.1063/1.3405290].
Recurrence for quenched random Lorentz tubes
CRISTADORO, GIAMPAOLO;LENCI, MARCO;SERI, MARCELLO
2010
Abstract
We consider the billiard dynamics in a striplike 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.File in questo prodotto:
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