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.
"Trees, Animals, and Percolation on Hyperbolic Lattices." Electron. J. Probab. 15 2019 - 2040, 2010. https://doi.org/10.1214/EJP.v15-837