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Trees, Animals, and Percolation on Hyperbolic Lattices

   
@article{EJP837,
	author = {Neal Madras and C. Wu},
	title = {Trees, Animals, and Percolation on Hyperbolic Lattices},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {15},
	year = {2010},
	keywords = {Percolation; lattice animal; lattice  tree; critical exponents; mean field behaviour; hyperbolic geometry; hyperbolic lattice.},
	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.},
	pages = {no. 66, 2019-2040},
	issn = {1083-6489},
	doi = {10.1214/EJP.v15-837},    
        url = {http://ejp.ejpecp.org/article/view/837}}