Recurrence and Higher Ergodic Properties for Quenched Random Lorentz Tubes in Dimension Bigger than Two

@article{Seri2011RecurrenceAH,
title={Recurrence and Higher Ergodic Properties for Quenched Random Lorentz Tubes in Dimension Bigger than Two},
author={M. Seri and M. Lenci and Mirko degli Esposti and G. Cristadoro},
journal={Journal of Statistical Physics},
year={2011},
volume={144},
pages={124-138}
}

We consider the billiard dynamics in a non-compact set of ℝd that is constructed as a bi-infinite chain of translated copies of the same d-dimensional polytope. A random configuration of semi-dispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global realization of the scatterers, is called quenched random Lorentz tube. Under some fairly general conditions, we prove that every system in the ensemble is hyperbolic and almost every system is… CONTINUE READING