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.

Recurrence for quenched random Lorentz tubes / G. Cristadoro; M. Lenci; M. Seri. - In: CHAOS. - ISSN 1054-1500. - STAMPA. - 20:(2010), pp. 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.
2010
Recurrence for quenched random Lorentz tubes / G. Cristadoro; M. Lenci; M. Seri. - In: CHAOS. - ISSN 1054-1500. - STAMPA. - 20:(2010), pp. 023115-1-023115-7. [10.1063/1.3405290]
G. Cristadoro; M. Lenci; M. Seri
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/92504
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