Typicality of recurrence for Lorentz gases
| dc.creator | Lenci, Marco | |
| dc.date | 2004-10-15 | |
| dc.date | 2004-10-17 | |
| dc.date.accessioned | 2026-07-07T06:29:31Z | |
| dc.date.available | 2026-07-07T06:29:31Z | |
| dc.description | It is a safe conjecture that most (not necessarily periodic) two-dimensional Lorentz gases with finite horizon are recurrent. Here we formalize this conjecture by means of a stochastic ensemble of Lorentz gases, in which i.i.d. random scatterers are placed in each cell of a co-compact lattice in the plane. We prove that the typical Lorentz gas, in the sense of Baire, is recurrent, and give results in the direction of showing that recurrence is an almost sure property (including a zero-one law that holds in every dimension). A few toy models illustrate the extent of these results. | |
| dc.description | 22 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0410355 | |
| dc.identifier | http://arxiv.org/abs/math/0410355 | |
| dc.identifier | Ergodic Theory Dynam. Systems 26 (2006), no. 3, 799-820 | |
| dc.identifier | doi:10.1017/S0143385706000022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98055 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | 37D50; 37A40; 60K37 | |
| dc.title | Typicality of recurrence for Lorentz gases | |
| dc.type | text |