| Título: | Stochastic domination and comb percolation |
| Autores: |
Holroyd, Alexander E; Microsoft Research Martin, James B; University of Oxford |
| Fecha: | 2014-01-02 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
stochastic domination, percolation, comb graph, Lipschitz embedding, first-passage percolation 60K35; 82B43 |
| Descripción: | There exists a Lipschitz embedding of a d-dimensional comb graph (consisting of infinitely many parallel copies of $\mathbb{Z}^{d-1}$ joined by a perpendicular copy) into the open set of site percolation on $\mathbb{Z}^d$, whenever the parameter p is close enough to 1 or the Lipschitz constant is sufficiently large. This is proved using several new results and techniques involving stochastic domination, in contexts that include a process of independent overlapping intervals on $\mathbb{Z}$, and first-passage percolation on general graphs. |
| Idioma: | Inglés |
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