Professor Sunil Chhita sunil.chhita@durham.ac.uk
Early Career Fellowship
A combinatorial identity for the speed of growth in an anisotropic KPZ model
Chhita, Sunil; Ferrari, Patrik L.
Authors
Patrik L. Ferrari
Abstract
The speed of growth for a particular stochastic growth model introduced by Borodin and Ferrari in [5], which belongs to the KPZ anisotropic universality class, was computed using multi-time correlations. The model was recently generalized by Toninelli in [38] and for this generalization the stationarymeasure is known but the time correlations are unknown. In this note, we obtain algebraic and combinatorial proofs for the expression of the speed of growth from the prescribed dynamics.
Citation
Chhita, S., & Ferrari, P. L. (2017). A combinatorial identity for the speed of growth in an anisotropic KPZ model. Annales de l’Institut Henri Poincaré D, 4(4), 453-477. https://doi.org/10.4171/aihpd/45
Journal Article Type | Article |
---|---|
Online Publication Date | Dec 4, 2017 |
Publication Date | Dec 1, 2017 |
Deposit Date | Sep 21, 2017 |
Publicly Available Date | Dec 1, 2018 |
Journal | Annales de l’Institut Henri Poincaré D |
Print ISSN | 2308-5827 |
Electronic ISSN | 2308-5835 |
Publisher | EMS Press |
Peer Reviewed | Peer Reviewed |
Volume | 4 |
Issue | 4 |
Pages | 453-477 |
DOI | https://doi.org/10.4171/aihpd/45 |
Public URL | https://durham-repository.worktribe.com/output/1348730 |
Related Public URLs | http://arxiv.org/abs/1508.01665 |
Files
Accepted Journal Article
(305 Kb)
PDF
You might also like
GOE fluctuations for the maximum of the top path in alternating sign matrices
(2023)
Journal Article
On the domino shuffle and matrix refactorizations
(2023)
Journal Article
Local geometry of the rough-smooth interface in the two-periodic Aztec diamond
(2021)
Journal Article
Correlations in totally symmetric self-complementary plane partitions
(2021)
Journal Article
The domino shuffling algorithm and Anisotropic KPZ stochastic growth
(2020)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search