A Contour Method on Cayley Trees |
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| Authors: | U A Rozikov |
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| Institution: | (1) Institute of Mathematics and Information Technologies, 29, F. Hodjaev str., 100125 Tashkent, Uzbekistan |
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| 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.
Dedicated to N.N. Ganikhodjaev on the occasion of his 60th birthday.
The work supported by NATO Reintegration Grant: FEL.RIG.980771. |
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| Keywords: | Cayley tree Configuration Ground state Contour Gibbs measure |
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