The Annals of Probability
- Ann. Probab.
- Volume 45, Number 3 (2017), 1771-1798.
KPZ equation limit of higher-spin exclusion processes
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.
Ann. Probab., Volume 45, Number 3 (2017), 1771-1798.
Received: May 2015
Revised: December 2015
First available in Project Euclid: 15 May 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82C22: Interacting particle systems [See also 60K35] 82C23: Exactly solvable dynamic models [See also 37K60]
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