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A Percolation Formula


 
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1. Title Title of document A Percolation Formula
 
2. Creator Author's name, affiliation, country Oded Schramm; Microsoft Research
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) SLE, Cardy, conformal invariance
 
3. Subject Subject classification 60K35, 30C35
 
4. Description Abstract Let $A$ be an arc on the boundary of the unit disk $U$. We prove an asymptotic formula for the probability that there is a percolation cluster $K$ for critical site percolation on the triangular grid in $U$ which intersects $A$ and such that $0$ is surrounded by the union of $K$ and $A$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-10-24
 
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/1041
 
10. Identifier Digital Object Identifier 10.1214/ECP.v6-1041
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 6
 
12. Language English=en en
 
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