Benedek Valko, University of Wisconsin–Madison
Event Date
2025-03-18
Event Time
03:30 pm ~ 04:30 pm
Event Location
Wachman 617
We describe how one can obtain the pair correlation function of the Sine-beta process for beta=2n using the random operator framework. Our method recovers the classical formulas for beta=2 and 4. For general beta=2n, we identify the pair correlation function in terms of an ODE system, and also in terms of a matrix-valued generalization of hypergeometric functions.
Joint with Yahui Qu (UW–Madison).