A Contour Method on Cayley tree

Details A Contour Method on Cayley tree A Contour Method on Cayley tree

2006-11-15

arxiv.org/abs/math-ph/0611038v1

Physics

Mathematical Physics

12 pages

Scientific paper

10.1007/s10955-007-9455-1

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 $s$ different
(where $s$ is the number of ground states) Gibbs measures.

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