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Delocalization of eigenfunctions and quantum chaos - lecture 1
Multi angle
Authors : Anantharaman, Nalini (Author of the conference)
CIRM (Publisher )
05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
81Q50 - Quantum chaos [See also 37Dxx]
58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
CIRM (Publisher )
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Abstract :
MSC Codes : 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
81Q50 - Quantum chaos [See also 37Dxx]
58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/05/2019 Conference Date : 17/04/2019 Subseries : Research School arXiv category : Analysis of PDEs ; Mathematical Physics ; Combinatorics Mathematical Area(s) : Algebra ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:59:10 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-17_Anantharaman_Part1.mp4 
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Information on the Event
Event Title : Matrices et graphes aléatoires / Random Matrices and Random GraphsEvent Organizers : Capitaine, Mireille ; Knowles, Antti ; Maïda, Mylène ; Najim, Jamal Dates : 15/04/2019 - 19/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1949.html
Citation Data
DOI : 10.24350/CIRM.V.19521703Cite this video as: Anantharaman, Nalini (2019). Delocalization of eigenfunctions and quantum chaos - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19521703 URI : http://dx.doi.org/10.24350/CIRM.V.19521703 |
See Also
- [Multi angle] Delocalization of eigenfunctions and quantum chaos - lecture 3 / Author of the conference Anantharaman, Nalini.
- [Multi angle] Delocalization of eigenfunctions and quantum chaos - lecture 2 / Author of the conference Anantharaman, Nalini.
- [Multi angle] Eigenvector convergence for minors of unitarily invariant infinite random matrices / Author of the conference Najnudel, Joseph.
- [Multi angle] Large deviations for the largest eigenvalue of random matrices / Author of the conference Guionnet, Alice.
Bibliography
- BROOKS, Shimon et LINDENSTRAUSS, Elon. Non-localization of eigenfunctions on large regular graphs. Israel Journal of Mathematics, 2013, vol. 193, no 1, p. 1-14. - https://doi.org/10.1007/s11856-012-0096-y
- ANANTHARAMAN, Nalini, LE MASSON, Etienne, et al. Quantum ergodicity on large regular graphs. Duke Mathematical Journal, 2015, vol. 164, no 4, p. 723-765. - http://dx.doi.org/10.1215/00127094-2881592
- BAUERSCHMIDT, Roland, HUANG, Jiaoyang, KNOWLES, Antti, et al. Bulk eigenvalue statistics for random regular graphs. The Annals of Probability, 2017, vol. 45, no 6A, p. 3626-3663. - http://dx.doi.org/10.1214/16-AOP1145
- ANANTHARAMAN, Nalini et SABRI, Mostafa. Recent results of quantum ergodicity on graphs and further investigation. arXiv preprint arXiv:1711.07666, 2017. - https://arxiv.org/abs/1711.07666
- BACKHAUSZ, Á. et SZEGEDY, B. On the almost eigenvectors of random regular graphs. Preprint, 2016. arXiv preprint arXiv:1607.04785. - https://arxiv.org/abs/1607.04785
