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Transfer matrix approach to 1d random band matrices
Multi angle
Authors : Shcherbina , Tatyana (Author of the conference)
CIRM (Publisher )
60B20 - Random matrices (probabilistic aspects)
15B52 - Random matrices
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Shcherbina.pdf
CIRM (Publisher )
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Abstract :
Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM can be used to model the Anderson metal-insulator phase transition (crossover) even in 1d. In this talk we will discuss some recent progress in application of the supersymmetric method (SUSY) and transfer matrix approach to the analysis of local spectral characteristics of some specific types of 1d RBM. Joint project with Maria Shcherbina.
MSC Codes : 60B20 - Random matrices (probabilistic aspects)
15B52 - Random matrices
Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Shcherbina.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 09/05/2019 Conference Date : 09/04/2019 Subseries : Research talks arXiv category : Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:53:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-09_Shcherbina.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.19515603Cite this video as: Shcherbina , Tatyana (2019). Transfer matrix approach to 1d random band matrices. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19515603 URI : http://dx.doi.org/10.24350/CIRM.V.19515603 |
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Bibliography
- SHCHERBINA, Mariya et SHCHERBINA, Tatyana. Transfer matrix approach to 1d random band matrices: density of states. Journal of Statistical Physics, 2016, vol. 164, no 6, p. 1233-1260. - https://arxiv.org/abs/1603.08476
