Limiting Gibbs measures in some one and two dimensional models

Date

2005

Editor(s)

Advisor

Kerimov, Azer

Supervisor

Co-Advisor

Co-Supervisor

Instructor

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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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Course

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Book Title

Degree Discipline

Mathematics

Degree Level

Master's

Degree Name

MS (Master of Science)

Citation

Published Version (Please cite this version)

Language

English

Type