Random Matrix Theory and Integrability: The Riemann-Hilbert Approach
Max Atkin (Universite Catholique de Louvain)
Tuesday 16th December, 2014 15:00-16:00 Maths 203
In this talk I will give an overview of random matrix theory and some connections to integrable systems. As part of this overview I will also discuss various techniques available for solving these models and in the second half of the talk I will focus on one method in particular: Riemann Hilbert analysis. As an application of this method I will then describe some recent results obtained in collaboration with Claeys and Mezzadri regarding asymptotic behaviour of a class of singularly perturbed models and their relation to generalisations of the Painleve III equation.