Limiting Gibbs measures in some one and two dimensional models
Date
2005
Authors
Editor(s)
Advisor
Kerimov, Azer
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Abstract
We give the definitions of finite volume Gibbs measure and limit Gibbs states. In one dimensional Ising model with arbitrary boundary conditions we calculate correlation functions in explicit way. In one dimension, conditions for uniqueness of Gibbs state are considered. We also discuss two dimensional Ising model.
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Degree Discipline
Mathematics
Degree Level
Master's
Degree Name
MS (Master of Science)
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Language
English