| Título: | A Note on Limiting Behaviour of Disastrous Environment Exponents |
| Autores: | Mountford, Thomas S.; University of California, Los Angeles |
| Fecha: | 2001-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Mathematics Random walk, disaster point, Poisson process. 60K35 |
| Descripción: | We consider a random walk on the $d$-dimensional lattice and investigate the asymptotic probability of the walk avoiding a "disaster" (points put down according to a regular Poisson process on space-time). We show that, given the Poisson process points, almost surely, the chance of surviving to time $t$ is like $e^{-\alpha \log (\frac1k) t } $, as $t$ tends to infinity if $k$, the jump rate of the random walk, is small. |
| Idioma: | Inglés |
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