| Título: | Non-amenable Cayley graphs of high girth have $p_c < p_u$ and mean-field exponents |
| Autores: |
Nachmias, Asaf; University of British Columbia Peres, Yuval; Microsoft Research |
| Fecha: | 2012-01-02 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Percolation; Self avoiding walk; Non-amenable graphs 82B43 |
| Descripción: | In this note we show that percolation on non-amenable Cayley graphs of high girth has a phase of non-uniqueness, i.e., $p_c< p_u$. Furthermore, we show that percolation and self-avoiding walk on such graphs have mean-field critical exponents. In particular, the self-avoiding walk has positive speed. |
| Idioma: | Inglés |
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