Theodoris Assiotis (University of Warwick) : Determinantal structures in (2+1)-dimensional growth and decay models

Wednesday 18 Apr 2018, 16:00 → 17:00 Europe/Brussels

CYCL 05 (MdeHemptinne)

Abstract:
I will talk about an inhomogeneous growth and decay model with a wall present in which the growth and decay rates on a single horizontal slice of the surface can be chosen essentially arbitrarily depending on the position.
This model turns out to have a determinantal structure and most remarkably for a certain, the fully packed, initial condition the correlation kernel can be calculated explicitly in terms of one dimensional orthogonal polynomials on the positive half line and their orthogonality measures.