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A Contour Method on Cayley Trees.
- Source :
-
Journal of Statistical Physics . Feb2008, Vol. 130 Issue 4, p801-813. 13p. - Publication Year :
- 2008
-
Abstract
- We consider finite-range lattice models on Cayley trees with two basic properties: the existence of only a finite number of ground states and with a Peierls type condition. We define the notion of a contour for the model on the Cayley tree. By a contour argument we show the existence of s different (where s is the number of ground states) Gibbs measures. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 130
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 28328991
- Full Text :
- https://doi.org/10.1007/s10955-007-9455-1