Local Landscape of the Sherrington-Kirkpatrick Hamiltonian
OPEN ACCESS
Author / Producer
Date
2023
Publication Type
Master Thesis
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
Abstract
We look at the behaviour of the Sherrington-Kirkpatrick Hamiltonian as we move around the hypercube. Changes of the Hamiltonian along the edges of a face of the hypercube are encoded by a random variable called square pattern. We give a complete description of a distribution of square pattern. We calculate the probability of a vertex being a local optimum and determine the typical value of energy at it. We consider possible generalisations to radius 2 local optima.
Permanent link
Publication status
published
External links
Editor
Contributors
Examiner : Bandeira, Afonso S.
Examiner : Kunisky, Dmitriy
Book title
Journal / series
Volume
Pages / Article No.
Publisher
ETH Zurich
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Sherrington-Kirkpatrick model
Organisational unit
09679 - Bandeira, Afonso / Bandeira, Afonso