Faculty Candidate Seminar: Queues in Series, Combinatorial Correspondences, and Determinants

GUEST LECTURER
Ton Dieker

AFFILIATION
University College Cork, Ireland

ABSTRACT
Queues in series, combinatorial correspondences, and determinants
(partly based on joint work with Jon Warren, University of Warwick)

There are deep connections between queues in series, noncolliding stochastic processes, and eigenvalues of random matrices. At the heart of these connections lies a combinatorial correspondence ascribed to Robinson, Schensted, Knuth, and Burge. This talk presents some of the remarkable consequences of this correspondence. In terms of queues in series, we give a complete probabilistic description of certain associated stochastic processes. Determinants of matrices play a pivotal role in this description.