Duke Probability Seminar

A seminar for the probability community at Duke, both in and outside of the Mathematics Department.

More information on the Duke Probability community can be found on the Probability: Theory and Applications Page

• Thursday, October 10, 2024, 3:15pm, Physics 119, Probability Seminar
  Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices
  Patrick Lopatto (UNC Chapel Hill)

   

  We consider two related questions about the extremal statistics of Wigner matrices (random symmetric matrices with independent entries). First, how much can their eigenvalues fluctuate? It is known that the eigenvalues of such matrices display repulsive interactions, which confine them near deterministic locations. We provide optimal estimates for this “rigidity” phenomenon. Second, what is the behavior of the maximum of the characteristic polynomial? This question is motivated by a conjecture of Fyodorov–Hiary–Keating on the maxima of logarithmically correlated fields, and we will present the first results for Wigner matrices. This talk is based on joint work with Paul Bourgade and Ofer Zeitouni.

• Thursday, October 24, 2024, 3:15pm, Physics 119, Probability Seminar
  TBA
  Vadim Gorin (UC Berkeley)

• Thursday, October 31, 2024, 3:15pm, Physics 119, Probability Seminar
  TBA
  Galen Reeves (Duke, Stats and ECE)

• Thursday, November 7, 2024, 3:15pm, Physics 119, Probability Seminar
  TBA
  Benjamin McKenna (GA Tech)

   

  TBA

• Thursday, November 14, 2024, 3:15pm, Physics 119, Probability Seminar
  TBA
  Giorgio Cipolloni (University of Arizona)

   

  TBA

• Thursday, November 21, 2024, 3:30pm, UNC Stats & OR, Probability Seminar (UNC IDEAS)
  TBA
  David Sivakoff (Ohio State University)

• Thursday, December 5, 2024, 3:15pm, Physics 119, Probability Seminar
  TBA
  Ahmed Bou-Rabee (Courant Institute, NYU, Mathematics)

• Thursday, February 20, 2025, 3:15pm, Physics 119, Probability Seminar
  TBA
  Yu-Ting Chen (University of Victoria, Mathematics and Statistics)