Escape orbits and Ergodicity in Infinite Step Billiards
| dc.creator | Degli-Esposti, Mirko | |
| dc.creator | Del Magno, Gianluigi | |
| dc.creator | Lenci, Marco | |
| dc.date | 1999-06-09 | |
| dc.date.accessioned | 2026-07-07T02:35:45Z | |
| dc.date.available | 2026-07-07T02:35:45Z | |
| dc.description | In a previous paper we defined a class of non-compact polygonal billiards, the infinite step billiards: to a given decreasing sequence of non-negative numbers $\{p_{n}$, there corresponds a table $\Bi := \bigcup_{n\in\N} [n,n+1] \times [0,p_{n}]$. In this article, first we generalize the main result of the previous paper to a wider class of examples. That is, a.s. there is a unique escape orbit which belongs to the alpha and omega-limit of every other trajectory. Then, following a recent work of Troubetzkoy, we prove that generically these systems are ergodic for almost all initial velocities, and the entropy with respect to a wide class of ergodic measures is zero. | |
| dc.description | 27 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9906017 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9906017 | |
| dc.identifier | Nonlinearity 13 (2000), no. 4, 1275-1292 | |
| dc.identifier | doi:10.1088/0951-7715/13/4/316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15725 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Dynamical Systems | |
| dc.title | Escape orbits and Ergodicity in Infinite Step Billiards | |
| dc.type | text |