On inhomogeneous polynuclear growth

Johansson, Kurt; Rahman, Mustazee

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.

Citation

Johansson, K., & Rahman, M. (2022). On inhomogeneous polynuclear growth. Annals of Probability, 50(2), 559-590. https://doi.org/10.1214/21-aop1540

• 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
• DOI: https://doi.org/10.1214/21-aop1540
• Related Public URLs: https://arxiv.org/abs/2010.07357