Speaker
Tom Claeys
(UCLouvain)
Description
The Its-Izergin-Korepin-Slavnov procedure is a method that allows to express Fredholm determinants of integrable kernel operators in terms of Riemann-Hilbert method, and hence paves the road for asymptotic analysis and for the study of underlying integrable systems. I will explain that this procedure allows more generally to characterize the correlation kernels of certain conditional determinantal point processes. I will show how these conditional ensembles are connected with a remarkable rigidity result, with tail distributions of the KPZ equation, and with integrable PDEs. The talk will be based on joint work with Gabriel Glesner.
Primary authors
Gabriel Glesner
(UCLouvain)
Tom Claeys
(UCLouvain)
