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 converges to the KPZ equation. This expands the relatively small number of systems for which weak universality of the KPZ equation has been demonstrated.

arXiv comment24 pages

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• Stochastic Burgers Equation via Energy Solutions from Non-Stationary Particle Systems
• Scaling limit of a directed polymer among a Poisson field of independent walks
• The stochastic six-vertex model speed process