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Spherical sherrington-kirkpatrick models and the TAP approach

Fröber, Leon. Spherical sherrington-kirkpatrick models and the TAP approach. 2023, Doctoral Thesis, University of Basel, Faculty of Science.

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Official URL: https://edoc.unibas.ch/95628/

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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
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�í
Item Type:Thesis
Thesis Subtype:Doctoral Thesis
Thesis no:15149
Thesis status:Complete
Number of Pages:v, 115
Language:English
Identification Number:
  • urn: urn:nbn:ch:bel-bau-diss151498
edoc DOI:
Last Modified:20 May 2024 04:30
Deposited On:24 Oct 2023 13:23

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