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Delocalization of eigenfunctions and quantum chaos - lecture 3

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Authors : Anantharaman, Nalini (Author of the conference)
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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 16/05/2019
    Conference Date : 19/04/2019
    Subseries : Research School
    arXiv category : Mathematical Physics ; Combinatorics ; Analysis of PDEs
    Mathematical Area(s) : Algebra ; Combinatorics
    Format : MP4 (.mp4) - HD
    Video Time : 01:05:53
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2019-04-19_Anantharaman_Part3.mp4

Information on the Event

Event Title : Matrices et graphes aléatoires / Random Matrices and Random Graphs
Event 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.19522903
Cite this video as: Anantharaman, Nalini (2019). Delocalization of eigenfunctions and quantum chaos - lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19522903
URI : http://dx.doi.org/10.24350/CIRM.V.19522903

See Also

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



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