| Título: | Percolation Beyond $Z^d$, Many Questions And a Few Answers |
| Autores: |
Benjamini, Itai; Weizmann Institute of Science Schramm, Oded; Microsoft Research |
| Fecha: | 1996-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Percolation, criticality, planar graph, transitive graph, isoperimetericinequality 82B43, 60K35 |
| Descripción: | A comprehensive study of percolation in a more general context than the usual $Z^d$ setting is proposed, with particular focus on Cayley graphs, almost transitive graphs, and planar graphs. Results concerning uniqueness of infinite clusters and inequalities for the critical value $p_c$ are given, and a simple planar example exhibiting uniqueness and non-uniqueness for different $p>p_c$ is analyzed. Numerous varied conjectures and problems are proposed, with the hope of setting goals for future research in percolation theory. |
| Idioma: | No aplica |
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