Rate of Escape on the Lamplighter Tree
| dc.creator | Gilch, Lorenz | |
| dc.date | 2007-08-28 | |
| dc.date.accessioned | 2026-07-07T08:26:07Z | |
| dc.date.available | 2026-07-07T08:26:07Z | |
| dc.description | Suppose we are given a homogeneous tree $\mathcal{T}_q$ of degree $q\geq 3$, where at each vertex sits a lamp, which can be switched on or off. This structure can be described by the wreath product $(\mathbb{Z}/2)\wr Γ$, where $Γ=\ast_{i=1}^q \mathbb{Z}/2$ is the free product group of $q$ factors $\mathbb{Z}/2$. We consider a transient random walk on a Cayley graph of $(\mathbb{Z}/2)\wr Γ$, for which we want to compute lower and upper bounds for the rate of escape, that is, the speed at which the random walk flees to infinity. | |
| dc.description | 16 pages; accepted for publication in Journal of Mathematical Sciences (N.Y.) | |
| dc.identifier | https://arxiv.org/abs/0708.3766 | |
| dc.identifier | http://arxiv.org/abs/0708.3766 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136838 | |
| dc.subject | Probability | |
| dc.subject | 60G50 (Primary); 20E22, 60B15 (Secondary) | |
| dc.title | Rate of Escape on the Lamplighter Tree | |
| dc.type | text |