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Probability Seminars

Determinantal structures in (2+1)-dimensional growth and decay models

With Theodoros Assiotis (Warwick)

Determinantal structures in (2+1)-dimensional growth and decay models

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.

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