| Título: | On Long Range Percolation with Heavy Tails |
| Autores: |
Friedli, Sacha; IMPA, Rio de Janeiro Borge de Lima, Benoîte; UFMG, Belo Horizonte Sidoravicius, Vladas; IMPA, Rio de Janeiro |
| Fecha: | 2004-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: | No aplica |
| Descripción: | Consider independent long range percolation on $\mathbf{Z}^d$, $d\geq 2$, where edges of length $n$ are open with probability $p_n$. We show that if $\limsup_{n\to\infty}p_n > 0,$ then there exists an integer $N$ such that $P_N(0\leftrightarrow \infty) > 0$, where $P_N$ is the truncated measure obtained by taking $p_{N,n}=p_n$ for $n \leq N$ and $p_{N,n}=0$ for all $n > N$. |
| Idioma: | No aplica |
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