On the existence of generalized Gibbs measures for the one-dimensional p-adic countable state Potts model

We consider the one-dimensional countable state p-adic Potts model. A construction of generalized p-adic Gibbs measures depending on weights λ is given, and an investigation of such measures is reduced to the examination of a p-adic dynamical system. This dynamical system has a form of series of ra...

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Bibliographic Details
Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Pleiades Publishing, Ltd. & Springer 2009
Subjects:
Online Access:http://irep.iium.edu.my/13695/1/mf-ProcMIRAN%282009%29.pdf