Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
| dc.creator | Bezerra, Sérgio | |
| dc.creator | Tindel, Samy | |
| dc.creator | Viens, Frederi | |
| dc.date | 2008-10-24 | |
| dc.date.accessioned | 2026-07-07T10:13:00Z | |
| dc.date.available | 2026-07-07T10:13:00Z | |
| dc.description | This paper provides information about the asymptotic behavior of a one-dimensional Brownian polymer in random medium represented by a Gaussian field $W$ on ${\mathbb{R}}_+\times{\mathbb{R}}$ which is white noise in time and function-valued in space. According to the behavior of the spatial covariance of $W$, we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to infinity: the polymer is proved to be superdiffusive, with a wandering exponent exceeding any $α<3/5$. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AOP363 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0810.4378 | |
| dc.identifier | http://arxiv.org/abs/0810.4378 | |
| dc.identifier | Annals of Probability 2008, Vol. 36, No. 5, 1642-1675 | |
| dc.identifier | doi:10.1214/07-AOP363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172379 | |
| dc.subject | Probability | |
| dc.subject | 82D60, 60K37, 60G15 (Primary) | |
| dc.title | Superdiffusivity for a Brownian polymer in a continuous Gaussian environment | |
| dc.type | text |