2020/10/31 by Kurt Johansson, Mustazee Rahman · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #math-ph #math.MP #math.PR
published as Ann. Probab. 50 no. 2 (2022), 559-590 · Final version. Minor corrections and some improved results
arxiv created 2021/06/26 · arxiv updated 2022/03/29
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.