Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Collection Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Organizer(s) Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken

Date(s) 08/04/2019 - 12/04/2019

linked URL https://www.chairejeanmorlet.com/2104.html

00:00:00 / 00:00:00

10 22

Spherical Sherrington-Kirkpatrick model and random matrix

The Spherical Sherrington-Kirkpatrick (SSK) model is defined by the Gibbs measure on a highdimensional sphere with a random Hamiltonian given by a symmetric quadratic function. The free energy at the zero temperature is the same as the largest eigenvalue of the random matrix associated with the quadratic function. Even for the finite temperature, there is a simple relationship between the free energy and the eigenvalues. We will discuss how one can study the fluctuations of the free energy using this relationship and results from random matrix theory. We will also discuss the distribution of the spin sampled from the Gibbs measure.

Information about the video

Date of recording 10/04/2019
Date of publication 09/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19516203
Cite this video Baik, Jinho (10/04/2019). Spherical Sherrington-Kirkpatrick model and random matrix. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19516203
URL https://dx.doi.org/10.24350/CIRM.V.19516203

Domain(s)

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2104/Slides/Baik.pdf

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