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Multi-time distribution in discrete polynuclear growth

Johansson, Kurt; Rahman, Mustazee

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Authors

Kurt Johansson



Abstract

We study the multitime distribution in a discrete polynuclear growth model or, equivalently, in directed last‐passage percolation with geometric weights. A formula for the joint multitime distribution function is derived in the discrete setting. It takes the form of a multiple contour integral of a block Fredholm determinant. The asymptotic multitime distribution is then computed by taking the appropriate KPZ‐scaling limit of this formula. This distribution is expected to be universal for models in the Kardar‐Parisi‐Zhang universality class. © 2020 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC.

Citation

Johansson, K., & Rahman, M. (2021). Multi-time distribution in discrete polynuclear growth. Communications on Pure and Applied Mathematics, 74(12), 2561-2627. https://doi.org/10.1002/cpa.21980

Journal Article Type Article
Acceptance Date Apr 3, 2020
Online Publication Date Feb 22, 2021
Publication Date 2021-12
Deposit Date Apr 18, 2020
Publicly Available Date Mar 28, 2024
Journal Communications on Pure and Applied Mathematics
Print ISSN 0010-3640
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 74
Issue 12
Pages 2561-2627
DOI https://doi.org/10.1002/cpa.21980
Related Public URLs https://arxiv.org/abs/1906.01053

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Copyright Statement
© 2021 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC.

This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.





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