an:02228416
Zbl 1076.82509
Rozikov, U. A.
On \(q\)-component models on Cayley tree: contour method
EN
Lett. Math. Phys. 71, No. 1, 27-38 (2005).
00115286
2005
j
82B20 82B05 60K35 05C05
Cayley tree; configuration; Potts model; SOS model; contour; Gibbs measure
Summary: 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.