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A statistical physics approach to the sine beta process
Multi angle
Authors : Maïda, Mylène (Author of the conference)
CIRM (Publisher )
60B20 - Random matrices (probabilistic aspects)
60G55 - Point processes
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/maida-CIRM2019.pdf
CIRM (Publisher )
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Abstract :
The universality properties of the Sine process (corresponding to inverse temperature beta equal to 2) are now well known. More generally, a family of point processes have been introduced by Valko and Virag and shown to be the bulk limit of Gaussian beta ensembles, for any positive beta. They are defined through a one-parameter family of SDEs coupled by a two-dimensional Brownian motion (or more recently as the spectrum of a random operator). Through these descriptions, some properties have been derived by Holcomb, Paquette, Valko, Virag and others but there is still much to understand.
In a work with David Dereudre, Adrien Hardy (Université de Lille) and Thomas Leblé (Courant Institute, New York), we use tools from classical statistical mechanics based on DLR equations to give a completely different description of the Sine beta process and derive some properties, such as rigidity and tolerance.
MSC Codes : In a work with David Dereudre, Adrien Hardy (Université de Lille) and Thomas Leblé (Courant Institute, New York), we use tools from classical statistical mechanics based on DLR equations to give a completely different description of the Sine beta process and derive some properties, such as rigidity and tolerance.
60B20 - Random matrices (probabilistic aspects)
60G55 - Point processes
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/maida-CIRM2019.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 09/05/2019 Conference Date : 11/04/2019 Subseries : Research talks arXiv category : Probability ; Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:53:03 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-11_Maïda.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.19516903Cite this video as: Maïda, Mylène (2019). A statistical physics approach to the sine beta process. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19516903 URI : http://dx.doi.org/10.24350/CIRM.V.19516903 |
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