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May 2017 KPZ equation limit of higher-spin exclusion processes
Ivan Corwin, Li-Cheng Tsai
Ann. Probab. 45(3): 1771-1798 (May 2017). DOI: 10.1214/16-AOP1101

Abstract

We prove that under a particular weak scaling, the 4-parameter interacting particle system introduced by Corwin and Petrov [Comm. Math. Phys. 343 (2016) 651–700] converges to the Kardar–Parisi–Zhang (KPZ) equation. This expands the relatively small number of systems for which weak universality of the KPZ equation has been demonstrated.

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Ivan Corwin. Li-Cheng Tsai. "KPZ equation limit of higher-spin exclusion processes." Ann. Probab. 45 (3) 1771 - 1798, May 2017. https://doi.org/10.1214/16-AOP1101

Information

Received: 1 May 2015; Revised: 1 December 2015; Published: May 2017
First available in Project Euclid: 15 May 2017

zbMATH: 06754786
MathSciNet: MR3650415
Digital Object Identifier: 10.1214/16-AOP1101

Subjects:
Primary: 60K35
Secondary: 82C22, 82C23

Rights: Copyright © 2017 Institute of Mathematical Statistics

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Vol.45 • No. 3 • May 2017
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