A signal-recovery system: asymptotic properties and construction of an infinite volume limit
| dc.creator | Berg, Jacob van den | |
| dc.creator | Toth, Balint | |
| dc.date | 2000-12-22 | |
| dc.date.accessioned | 2026-07-07T04:39:24Z | |
| dc.date.available | 2026-07-07T04:39:24Z | |
| dc.description | We consider a linear sequence of `nodes', each of which can be in state 0 (`off') or 1 (`on'). Signals from outside are sent to the rightmost node and travel instantaneously as far as possible to the left along nodes which are `on'. These nodes are immediately switched off, and become on again after a recovery time. The recovery times are independent exponentially distributed random variables. We present properties for finite systems and use some of these properties to construct an infinite-volume extension, with signals `coming from infinity'. This construction is related to a question by D. Aldous and we expect that it sheds some light on, and stimulates further investigation of, that question. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0012237 | |
| dc.identifier | http://arxiv.org/abs/math/0012237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60643 | |
| dc.subject | Probability | |
| dc.title | A signal-recovery system: asymptotic properties and construction of an infinite volume limit | |
| dc.type | text |