Fröber, Leon. Spherical sherrington-kirkpatrick models and the TAP approach. 2023, Doctoral Thesis, University of Basel, Faculty of Science.
![[img]](https://edoc.unibas.ch/style/images/fileicons/application_pdf.png)
|
PDF
1299Kb |
Official URL: https://edoc.unibas.ch/95628/
Downloads: Statistics Overview
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 |
|---|---|
| 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 and �erný, Ji�à |
| Item Type: | Thesis |
| Thesis Subtype: | Doctoral Thesis |
| Thesis no: | 15149 |
| Thesis status: | Complete |
| Number of Pages: | v, 115 |
| Language: | English |
| Identification Number: |
|
| edoc DOI: | |
| Last Modified: | 28 Apr 2024 04:30 |
| Deposited On: | 24 Oct 2023 13:23 |
Repository Staff Only: item control page