Graduate Thesis Or Dissertation
 

Gibbs states and correlation

Public Deposited

Downloadable Content

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

Descriptions

Attribute NameValues
Creator
Abstract
  • 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.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces

Relationships

Parents:

This work has no parents.

In Collection:

Items

Thumbnail Title Date Uploaded Visibility Actions
file details GlaffigClemensH1985.pdf 2017-08-10 Public Download