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Trees, Animals, and Percolation on Hyperbolic Lattices


 
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1. Title Title of document Trees, Animals, and Percolation on Hyperbolic Lattices
 
2. Creator Author's name, affiliation, country Neal Madras; York University; Canada
 
2. Creator Author's name, affiliation, country C. Chris Wu; Penn State University; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Percolation; lattice animal; lattice tree; critical exponents; mean field behaviour; hyperbolic geometry; hyperbolic lattice.
 
3. Subject Subject classification 60K35; 05B45, 51M09, 82B41, 82B43
 
4. Description Abstract We study lattice trees, lattice animals, and percolation on non-Euclidean lattices that correspond to regular tessellations of two- and three-dimensional hyperbolic space. We prove that critical exponents of these models take on their mean field values. Our methods are mainly combinatorial and geometric.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSERC, NSF
 
7. Date (YYYY-MM-DD) 2010-12-03
 
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/837
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-837
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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