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 Download PDF (373Kb) |
| 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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