Igor Krasovsky (Imperial College)

Transition asymptotics for Toeplitz and Fredholm determinants

Abstract:
We will discuss recent results on the asymptotic behaviour of certain Toeplitz and Fredholm determinants appearing in the theory of random matrices and related areas focusing on the situation where a transition between 2 different asymptotic regimes takes place. The talk is based on joint works with Th. Bothner, T. Claeys, P. Deift, and A. Its.