Recurrence for quenched random Lorentz tubes

Details Recurrence for quenched random Lorentz tubes Recurrence for quenched random Lorentz tubes

2009-09-16

arxiv.org/abs/0909.3069v2

Chaos 20 (2010), 023115, 7 pp

Mathematics

Dynamical Systems

23 pages, 8 figures. Version published on Chaos, vol. 20 (2010) + correction of small erratum in condition (A3)

Scientific paper

10.1063/1.3405290

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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