| Título: | First-passage percolation on width-two stretches with exponential link weights |
| Autores: | Schlemm, Eckhard; Zentrum Mathematik, Technische Université München |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
First-passage percolation, percolation rate, Markov chains, ergodicity 60J05, 60K35 |
| Descripción: | We consider the first-passage percolation problem on effectively one-dimensional graphs with vertex set $\{1,\dots,n\}\times\{0,1\}$ and translation-invariant edge-structure. For three of six non-trivial cases we obtain exact expressions for the asymptotic percolation rate $\chi$ by solving certain recursive distributional equations and invoking results from ergodic theory to identify $\chi$ as the expected asymptotic one-step growth of the first-passage time from $(0,0)$ to $(n,0)$. |
| Idioma: | No aplica |
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