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

Published in

Annals of Probability

0091-1798 (ISSN) 2168894x (eISSN)

Vol. 39Issue 5p. 1668-1701

Categorizing

Subject Categories

Probability Theory and Statistics

Identifiers

DOI

10.1214/10-aop563

More information

Created

10/6/2017