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Gibbs states and correlation Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/765374050

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  • Certain important concepts from the theory of Gibbs states are first described in the simple setting of the finite volume case. With the extension to the infinite volume case, Gibbs states are defined, exhibiting two different approaches to the subject. The general structure of the set of Gibbs states is investigated, emphasizing the significant role of pure Gibbs states. In a further restriction in physical assumptions, the relation of Gibbs states to Markov random fields is explored and this relation is used to detect infinite divisibility within the class of Gibbs states. For the case of infinitely divisible states on the Bethe lattice, the Levy-Khintchin representation of the correlation is usedto prove these states to be extreme. Extreme states are characterized by their correlation function. As a closure of this treatise, another approach to the theory, aimed at obtaining a different characterization of pure states, is introduced.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-07-16T15:01:18Z (GMT) No. of bitstreams: 1 GlaffigClemensH1985.pdf: 580012 bytes, checksum: f012875b262d23983736ea1347eeecf2 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-07-22T16:19:34Z (GMT) No. of bitstreams: 1 GlaffigClemensH1985.pdf: 580012 bytes, checksum: f012875b262d23983736ea1347eeecf2 (MD5)
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