Fröber, Leon. Spherical sherrington-kirkpatrick models and the TAP approach. 2023, Doctoral Thesis, University of Basel, Faculty of Science.
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Abstract
This thesis studies spherical variants of the Sherrington-Kirkpatrick model for spin glasses, in particular the spiked SSK model and the multiple SSK model with constrained overlaps. The focus lies on the limiting free energy of these models and the proof that it can be expressed in terms of a Thouless-Anderson-Palmer (TAP) variational principle. Furthermore this thesis investigates the fluctuations of the ground state energy of the spiked SSK model.
| Advisors: | Belius, David |
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| Committee Members: | Černý, Jiří and Bolthausen, Erwin |
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Wahrscheinlichkeitstheorie (Belius) 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Wahrscheinlichkeitstheorie (Cerny) |
| UniBasel Contributors: | Belius, David |
| Item Type: | Thesis |
| Thesis Subtype: | Doctoral Thesis |
| Thesis no: | 15149 |
| Thesis status: | Complete |
| Number of Pages: | v, 115 |
| Language: | English |
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| edoc DOI: | |
| Last Modified: | 09 Aug 2024 04:30 |
| Deposited On: | 24 Oct 2023 13:23 |
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