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Personal Profile of Dr. Gerard Ben Arous

Dr. Gerard Ben Arous

New York University, Courant Institute

Department of Mathematical Sciences

ORCID: https://orcid.org/0000-0001-5599-8726

MSRI Program:

Universality and Integrability in Random Matrix Theory and Interacting Particle Systems

Visit Dates:

August 16, 2021 - December 15, 2021

• Talks

1. December 02, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

2. November 30, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

3. November 23, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

4. November 18, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

5. November 16, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

6. November 09, 2021 (09:30 AM PST - 11:00 AM PST)

   Seminar Random Matrices and Random Landscapes

7. November 04, 2021 (09:30 AM PDT - 11:00 AM PDT)

   Seminar Random Matrices and Random Landscapes

8. November 02, 2021 (09:30 AM PDT - 11:00 AM PDT)

   Seminar Random Matrices and Random Landscapes

9. October 28, 2021 (09:30 AM PDT - 11:00 AM PDT)

   Seminar Random Matrices and Random Landscapes

10. October 26, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

11. October 21, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

12. October 19, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

13. October 14, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

14. October 12, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

15. October 07, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

16. October 05, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

17. September 30, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

18. September 28, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

19. September 23, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

20. September 21, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

21. September 16, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

22. September 14, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

23. September 09, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

24. September 07, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

25. September 02, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

26. August 31, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

27. August 26, 2021 (09:30 AM PDT - 11:00 AM PDT)

    Seminar Random Matrices and Random Landscapes

28. September 13, 2010 - September 17, 2010

    Workshop Random Matrix Theory and Its Applications I

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    Sep 14, 2010 Tuesday

    11:30 AM - 12:10 PM   Extreme gaps in the spectrum of Random Matrices Gerard Ben Arous (New York University, Courant Institute) Location -- Video Abstract I will present a joint work with Paul Bourgade (Harvard) about the extreme gaps between eigenvalues of random matrices. We give the joint limiting law of the smallest gaps for Haar-distributed unitary matrices (CUE) and matrices from the Gaussian Unitary Ensemble. In particular, we show that the smallest gaps when rescaled by N-4/3, are Poissonian and we give the limiting distribution of the kth smallest gap. We also show that the largest gap, when normalized by √log N/N, converges in L^p to a constant for all p > 0. These results are compared with the extreme gaps between zeros of the Riemann zeta function. Supplements -- Show Detail