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On inhomogeneous polynuclear growth

Johansson, Kurt and Rahman, Mustazee (0202) 'On inhomogeneous polynuclear growth.', Annals of Probability, 50 (2). pp. 559-590.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1214/21-AOP1540
Publisher statement:Copyright © 2022 Institute of Mathematical Statistics
Date accepted:23 June 2021
Date deposited:04 October 2021
Date of first online publication:24 March 2022
Date first made open access:07 April 2022

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