Fluctuations of the front in a one dimensional model of X+Y-->2X
| dc.creator | Comets, Francis | |
| dc.creator | Quastel, Jeremy | |
| dc.creator | Ramirez, Alejandro | |
| dc.date | 2006-07-21 | |
| dc.date.accessioned | 2026-07-07T07:20:48Z | |
| dc.date.available | 2026-07-07T07:20:48Z | |
| dc.description | We consider a model of the reaction $X+Y\to 2X$ on the integer lattice in which $Y$ particles do not move while $X$ particles move as independent continuous time, simple symmetric random walks. $Y$ particles are transformed instantaneously to $X$ particles upon contact. We start with a fixed number $a\ge 1$ of $Y$ particles at each site to the right of the origin, and define a class of configurations of the $X$ particles to the left of the origin having a finite $l^1$ norm with a specified exponential weight. Starting from any configuration of $X$ particles to the left of the origin within such a class, we prove a central limit theorem for the position of the rightmost visited site of the $X$ particles. | |
| dc.identifier | https://arxiv.org/abs/math/0607549 | |
| dc.identifier | http://arxiv.org/abs/math/0607549 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115078 | |
| dc.subject | Probability | |
| dc.subject | 82C22;82C41 | |
| dc.title | Fluctuations of the front in a one dimensional model of X+Y-->2X | |
| dc.type | text |