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arXiv · 2010.07357

On inhomogeneous polynuclear growth

Kurt Johansson·Mustazee Rahman
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Abstract

This article studies the inhomogeneous geometric polynuclear growth model, the distribution of which is related to Schur functions. We explain a method to derive its distribution functions in both space-like and time-like directions, focusing on the two-time distribution. Asymptotics of the two-time distribution in the KPZ-scaling limit is then considered, extending to two times several single-time distributions in the KPZ universality class.

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Kurt Johansson, Mustazee Rahman. 2021-06-26. On inhomogeneous polynuclear growth. https://arxiv.org/abs/2010.07357

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