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On uniqueness of Gibbs measure for -adic countable state Potts model on the Cayley tree |
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| Authors: | Andrei Khrennikov Farrukh Mukhamedov |
| Affiliation: | aInternational Center for Mathematical Modeling, MSI, Växjö University, SE-35195, Växjö, Sweden;bDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia |
| Abstract: | In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite. |
| Keywords: | mml4" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4W32KK1-1&_mathId=mml4&_user=10&_cdi=5659&_rdoc=25&_acct=C000053510&_version=1&_userid=1524097&md5=0acdd85ca6d831a2036f1d72f06dcb67" title=" Click to view the MathML source" alt=" Click to view the MathML source" >p-adic numbers Potts model Gibbs measure Unique |
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