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On inhomogeneous polynuclear growth

Johansson, Kurt; Rahman, Mustazee

On inhomogeneous polynuclear growth Thumbnail


Kurt Johansson


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.


Johansson, K., & Rahman, M. (2022). On inhomogeneous polynuclear growth. Annals of Probability, 50(2), 559-590.

Journal Article Type Article
Acceptance Date Jun 23, 2021
Online Publication Date Mar 24, 2022
Publication Date 2022-03
Deposit Date Jun 28, 2021
Publicly Available Date Oct 4, 2021
Journal Annals of Probability
Print ISSN 0091-1798
Publisher Institute of Mathematical Statistics
Peer Reviewed Peer Reviewed
Volume 50
Issue 2
Pages 559-590
Related Public URLs


Accepted Journal Article (381 Kb)

Copyright Statement
Copyright © 2022 Institute of Mathematical Statistics

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