## The Annals of Probability

### KPZ equation limit of higher-spin exclusion processes

#### 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.

#### Article information

Source
Ann. Probab., Volume 45, Number 3 (2017), 1771-1798.

Dates
Revised: December 2015
First available in Project Euclid: 15 May 2017

https://projecteuclid.org/euclid.aop/1494835231

Digital Object Identifier
doi:10.1214/16-AOP1101

Mathematical Reviews number (MathSciNet)
MR3650415

Zentralblatt MATH identifier
06754786

#### Citation

Corwin, Ivan; Tsai, Li-Cheng. KPZ equation limit of higher-spin exclusion processes. Ann. Probab. 45 (2017), no. 3, 1771--1798. doi:10.1214/16-AOP1101. https://projecteuclid.org/euclid.aop/1494835231

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