Diluted mean field spin glass models

I want to master the modern mathematical theory of the Sherrington-Kirkpatrick and related spin glass models. The field spin glass models originate in theoretical statistical physics. After learning current results, I plan to start working on some open problems, such as in the setting of the diluted Sherrington-Kirkpatrick model, which is not completely understood today. The Sherrington-Kirkpatrick model was introduced in order to understand unusual magnetic properties of some metal alloys, in which the magnetic spins of the component atoms were not aligned in a regular pattern. Diluted version of this model turns out to be related to various combinatorial optimization problems, and make progress in this direction could lead to application in computer science. I will work with Dmitriy Panchenko, who is a leading researcher in this field.

Faculty Supervisor:

Dmitriy Panchenko

Student:

Partner:

École normale supérieure

Discipline:

Mathematics

Sector:

Other

University:

University of Toronto

Program: