On q-Component Models on Cayley Tree: Contour Method

Author： Rozikov U  

Publisher： Springer Publishing Company

ISSN： 0377-9017

Source： Letters in Mathematical Physics, Vol.71, Iss.1, 2005-01, pp. : 27-38

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Abstract

In the Letter we investigate a q-component models on a Cayley tree. The main goal of the Letter is to develop a ‘‘contour’’ argument on Cayley tree. We define contours and study some properties of these contours. Using a contour argument we show existence of q different Gibbs measures for several q-component models.

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