Phase transitions on nonamenable graphs
Abstract
We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- March 2000
- DOI:
- 10.1063/1.533179
- arXiv:
- arXiv:math/9908177
- Bibcode:
- 2000JMP....41.1099L
- Keywords:
-
- 05.70.Fh;
- 02.10.-v;
- Phase transitions: general studies;
- Logic set theory and algebra;
- Mathematics - Probability;
- Mathematical Physics;
- 82B26
- E-Print:
- J.Math.Phys. 41 (2000) 1099-1126