Gibbs measures and phase transitions in one-dimensional models
| buir.advisor | Kerimov, Azer | |
| dc.contributor.author | Mallak, Saed | |
| dc.date.accessioned | 2016-01-08T20:20:35Z | |
| dc.date.available | 2016-01-08T20:20:35Z | |
| dc.date.issued | 2000 | |
| dc.description | Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 2000. | en_US |
| dc.description | Thesis (Ph.D.) -- Bilkent University, 2000. | en_US |
| dc.description | Includes bibliographical references leaves 63-64 | en_US |
| dc.description.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. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-01-08T20:20:35Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5) | en |
| dc.description.statementofresponsibility | Mallak, Saed | en_US |
| dc.format.extent | viii, 65 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/18579 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hamiltonian | en_US |
| dc.subject | Gibbs State | en_US |
| dc.subject | Extreme Gibbs State | en_US |
| dc.subject | Ground State | en_US |
| dc.subject | Phase Transition | en_US |
| dc.subject | Markov Chain | en_US |
| dc.subject | One-Dimensional Contour | en_US |
| dc.subject.lcc | QC20.7.P7 M35 2000 | en_US |
| dc.subject.lcsh | Measure theory. | en_US |
| dc.title | Gibbs measures and phase transitions in one-dimensional models | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Ph.D. (Doctor of Philosophy) |
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