Workshop: Pair correlation for the Sine-beta process for even beta

Speaker
Benedek Valko, University of Wisconsin

Abstract
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