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Spherical Sherrington-Kirkpatrick model and random matrix
Multi angle
Authors : Baik, Jinho (Author of the conference)
CIRM (Publisher )
60B20 - Random matrices (probabilistic aspects)
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82D30 - Random media, disordered materials (including liquid crystals and spin glasses)
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Baik.pdf
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 60B20 - Random matrices (probabilistic aspects)
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
82D30 - Random media, disordered materials (including liquid crystals and spin glasses)
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Baik.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 09/05/2019 Conference Date : 10/04/2019 Subseries : Research talks arXiv category : Disordered Systems and Neural Networks ; Mathematical Physics ; Probability Mathematical Area(s) : Probability & Statistics ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:55:26 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-10_Baik.mp4 
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Information on the Event
Event Title : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial DataEvent Organizers : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken Dates : 08/04/2019 - 12/04/2019 Event Year : 2019 Event URL : https://www.chairejeanmorlet.com/2104.html
Citation Data
DOI : 10.24350/CIRM.V.19516203Cite this video as: Baik, Jinho (2019). Spherical Sherrington-Kirkpatrick model and random matrix. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19516203 URI : http://dx.doi.org/10.24350/CIRM.V.19516203 |
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