Upper bound of a volume exponent for directed polymers in a random environment
| dc.creator | Mejane, Olivier | |
| dc.date | 2002-09-26 | |
| dc.date.accessioned | 2026-07-07T04:51:17Z | |
| dc.date.available | 2026-07-07T04:51:17Z | |
| dc.description | We consider the model of directed polymers in a random environment introduced by Petermann : the random walk is $\mathbb{R}^d$-valued and has independent gaussian $N(0,I_d)$-increments, and the random media is a stationary centred Gaussian process $(g(k,x), k \geq 1, x \in \mathbb{R}^d)$ with covariance matrix $cov(g(i,x),g(j,y))=δ_{ij} Γ(x-y) ,$ where $Γ$ is a bounded integrable function on $\mathbb{R}^d .$ For this model, we establish an upper bound of the volume exponent in all dimensions $d$. | |
| dc.identifier | https://arxiv.org/abs/math/0209368 | |
| dc.identifier | http://arxiv.org/abs/math/0209368 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65092 | |
| dc.subject | Probability | |
| dc.title | Upper bound of a volume exponent for directed polymers in a random environment | |
| dc.type | text |