Determinantal structures in (2+1)-dimensional growth and decay models.
Mathematical Physics Seminar
16th March 2018, 2:00 pm – 3:00 pm
Howard House, 4th Floor Seminar Room
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.