A Contour Method on Cayley tree
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We consider a finite range lattice models on Cayley tree with two basic properties: the existence of only a finite number of ground states and with Peierls type condition. We define notion of a contour for the model on the Cayley tree. By a contour argument we show the existence of different (where is the number of ground states) Gibbs measures.
Keywords
Cite
@article{arxiv.math-ph/0611038,
title = {A Contour Method on Cayley tree},
author = {U. A. Rozikov},
journal= {arXiv preprint arXiv:math-ph/0611038},
year = {2009}
}
Comments
12 pages