caa a22 4500 445390956 CHVBK 20180317143046.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10955-011-0244-5 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0244-5 Recurrence and Higher Ergodic Properties for Quenched Random Lorentz Tubes in Dimension Bigger than Two [Elektronische Daten] [Marcello Seri, Marco Lenci, Mirko degliEsposti, Giampaolo Cristadoro] We consider the billiard dynamics in a non-compact set of ℝ d 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 recurrent, ergodic, and enjoys some higher chaotic properties. Springer Science+Business Media, LLC, 2011 Hyperbolic billiards nationallicence Lorentz gas nationallicence Infinite-measure dynamical systems nationallicence Infinite ergodic theory nationallicence Random environment nationallicence Channel nationallicence Tube nationallicence Seri Marcello Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut Lenci Marco Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut degliEsposti Mirko Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut Cristadoro Giampaolo Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/1(2011-07-01), 124-138 0022-4715 144:1<124 2011 144 10955 https://doi.org/10.1007/s10955-011-0244-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0244-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Seri Marcello Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut NATIONALLICENCE 700 1- Lenci Marco Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut NATIONALLICENCE 700 1- degliEsposti Mirko Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut NATIONALLICENCE 700 1- Cristadoro Giampaolo Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/1(2011-07-01), 124-138 0022-4715 144:1<124 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer