Existence of graphs with sub exponential transitions probability decay and applications
| dc.creator | Rau, Clement | |
| dc.date | 2007-04-18 | |
| dc.date.accessioned | 2026-07-07T07:57:01Z | |
| dc.date.available | 2026-07-07T07:57:01Z | |
| dc.description | In this paper, we present a complete proof of the construction of graphs with bounded valency such that the simple random walk has a return probability at time $n$ at the origin of order $exp(-n^α),$ for fixed $α\in [0,1[$ and with Folner function $exp(n^{\frac{2α}{1-α}})$. We begin by giving a more detailled proof of this result contained in (see \cite{ershdur}). In the second part, we give an application of the existence of such graphs. We obtain bounds of the correct order for some functional of the local time of a simple random walk on an infinite cluster on the percolation model. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2337 | |
| dc.identifier | http://arxiv.org/abs/0704.2337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127531 | |
| dc.subject | Probability | |
| dc.subject | 60J10 60K35 | |
| dc.title | Existence of graphs with sub exponential transitions probability decay and applications | |
| dc.type | text |