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Near-critical percolation in two dimensions


 
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1. Title Title of document Near-critical percolation in two dimensions
 
2. Creator Author's name, affiliation, country Pierre Nolin; Ecole Normale Supérieure and Université Paris-Sud
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) near-critical percolation; arm events; critical exponents
 
3. Subject Subject classification 60K35; 82B43; 82B27
 
4. Description Abstract We give a self-contained and detailed presentation of Kesten's results that allow to relate critical and near-critical percolation on the triangular lattice. They constitute an important step in the derivation of the exponents describing the near-critical behavior of this model. For future use and reference, we also show how these results can be obtained in more general situations, and we state some new consequences.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Agence Nationale pour la Recherche (grant ANR-06-BLAN-0058)
 
7. Date (YYYY-MM-DD) 2008-09-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/565
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-565
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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