Trees, animals, and percolation on hyperbolic lattices

Neal Madras; C. Chris Wu

doi:10.1214/EJP.v15-837

Trees, animals, and percolation on hyperbolic lattices

Neal Madras, C. Chris Wu

Penn State Beaver

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2019-2040
Number of pages	22
Journal	Electronic Journal of Probability
Volume	15
DOIs	https://doi.org/10.1214/EJP.v15-837
State	Published - Jan 1 2010

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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JO - Electronic Journal of Probability

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Trees, animals, and percolation on hyperbolic lattices

Abstract

All Science Journal Classification (ASJC) codes

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