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Trees, animals, and percolation on hyperbolic lattices

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Publication:638362
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DOI10.1214/EJP.v15-837zbMath1226.60133MaRDI QIDQ638362

Neal Madras, C. Chris Wu

Publication date: 9 September 2011

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/EJP-ECP/_ejpecp/viewarticle77c7.html


zbMATH Keywords

critical exponentspercolationhyperbolic geometrylattice treehyperbolic latticelattice animalmean field behaviour


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Combinatorial aspects of tessellation and tiling problems (05B45) Elementary problems in hyperbolic and elliptic geometries (51M09)


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A homological upper bound on critical probabilities for hyperbolic percolation ⋮ Extremal \(\{ p, q\}\)-animals ⋮ Percolation on hyperbolic graphs




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