Percolation beyond Zd: The contributions of Oded Schramm
Journal article, 2011
Oded Schramm (1961-2008) influenced greatly the development of percolation theory beyond the usual Z(d) setting; in particular, the case of nonamenable lattices. Here, we review some of his work in this field.
cayley-graphs
uniform spanning-trees
amenability
uniqueness threshold
mass transport
spanning forest
critical probability
brownian intersection exponents
clusters
invariant percolation
plane exponents
hyperbolic plane
Percolation
infinite
uniform
forests
random-walks
Author
Olle Häggström
Chalmers, Mathematical Sciences, Mathematical Statistics
University of Gothenburg
Annals of Probability
0091-1798 (ISSN) 2168894x (eISSN)
Vol. 39 5 1668-1701Subject Categories
Probability Theory and Statistics
DOI
10.1214/10-aop563