Gibbs measures and phase transitions in one-dimensional models
Date
2000
Authors
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Kerimov, Azer
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English
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Abstract
In this thesis we study the problem of limit Gibbs measures in one-dimensional models. VVe investigate uniqueness conditions for the limit Gibbs measures for one-dimensional models. VVe construct a one-dimensional model disproving a uniqueness conjecture formulated before for one-dimensional models. It turns out that this conjecture is correct under some natural regularity conditions. VVe also apply the uniqueness theorem to some one-dimensional models.
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Degree Discipline
Mathematics
Degree Level
Doctoral
Degree Name
Ph.D. (Doctor of Philosophy)