Percolation beyond Zd: The contributions of Oded Schramm
Artikel i vetenskaplig tidskrift, 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

Författare

Olle Häggström

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Annals of Probability

0091-1798 (ISSN)

Vol. 39 5 1668-1701

Ämneskategorier

Sannolikhetsteori och statistik

DOI

10.1214/10-aop563