Phase transitions on nonamenable graphs

Authors
Lyons, R
Citation
R. Lyons, Phase transitions on nonamenable graphs, J MATH PHYS, 41(3), 2000, pp. 1099-1126
Citations number
112
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
3
Year of publication
2000
Pages
1099 - 1126
Database
ISI
SICI code
0022-2488(200003)41:3<1099:PTONG>2.0.ZU;2-Z
Abstract
We survey known results about phase transitions in various models of statis tical physics when the underlying space is a nonamenable graph. Most attent ion is devoted to transitive graphs and trees. (C) 2000 American Institute of Physics. [S0022-2488(00)00903-8].