@article{ECP1122,
author = {Sacha Friedli and Benoîte Borge de Lima and Vladas Sidoravicius},
title = {On Long Range Percolation with Heavy Tails},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {9},
year = {2004},
keywords = {},
abstract = {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 $n > N$.},
pages = {no. 19, 175-177},
issn = {1083-589X},
doi = {10.1214/ECP.v9-1122},
url = {http://ecp.ejpecp.org/article/view/1122}}