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.

24 pages

References in corpus (3)

• Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
• Stochastic higher spin vertex models on the line
• KPZ equation limit of higher-spin exclusion processes

Cited by in corpus (33)

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• Free energy distribution of the stationary O'Connell-Yor directed random polymer model
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