On inhomogeneous polynuclear growth

Johansson, Kurt; Rahman, Mustazee

doi:10.1214/21-aop1540

On inhomogeneous polynuclear growth

Johansson, Kurt; Rahman, Mustazee

Authors

Kurt Johansson

Dr Mustazee Rahman mustazee.rahman@durham.ac.uk
Associate Professor

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