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On Long Range Percolation with Heavy Tails


 
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1. Title Title of document On Long Range Percolation with Heavy Tails
 
2. Creator Author's name, affiliation, country Sacha Friedli; IMPA, Rio de Janeiro
 
2. Creator Author's name, affiliation, country Benoîte Borge de Lima; UFMG, Belo Horizonte
 
2. Creator Author's name, affiliation, country Vladas Sidoravicius; IMPA, Rio de Janeiro
 
3. Subject Discipline(s)
 
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4. Description 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 $n > N$.
 
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7. Date (YYYY-MM-DD) 2004-12-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1122
 
10. Identifier Digital Object Identifier 10.1214/ECP.v9-1122
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 9
 
12. Language English=en
 
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