A subdiffusive behaviour of recurrent random walk in random environment on a regular tree
| dc.creator | Hu, Yueyun | |
| dc.creator | Shi, Zhan | |
| dc.date | 2006-03-15 | |
| dc.date.accessioned | 2026-07-07T07:39:40Z | |
| dc.date.available | 2026-07-07T07:39:40Z | |
| dc.description | We are interested in the random walk in random environment on an infinite tree. Lyons and Pemantle [11] give a precise recurrence/transience criterion. Our paper focuses on the almost sure asymptotic behaviours of a recurrent random walk $(X\_n)$ in random environment on a regular tree, which is closely related to Mandelbrot [13]'s multiplicative cascade. We prove, under some general assumptions upon the distribution of the environment, the existence of a new exponent $ν\in (0, {1\over 2}]$ such that $\max\_{0\le i \le n} |X\_i|$ behaves asymptotically like $n^ν$. The value of $ν$ is explicitly formulated in terms of the distribution of the environment. | |
| dc.description | 29 pages with 1 figure. Its preliminary version was put in the following web site: http://www.math.univ-paris13.fr/prepub/pp2005/pp2005-28.html | |
| dc.identifier | https://arxiv.org/abs/math/0603363 | |
| dc.identifier | http://arxiv.org/abs/math/0603363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121534 | |
| dc.subject | Probability | |
| dc.subject | 60K37, 60G50 | |
| dc.title | A subdiffusive behaviour of recurrent random walk in random environment on a regular tree | |
| dc.type | text |