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 | |
| State | Published - Jan 1 2010 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty