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arXiv · 1505.04158

KPZ equation limit of higher-spin exclusion processes

Ivan Corwin·Li-Cheng Tsai
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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.

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Ivan Corwin, Li-Cheng Tsai. 2015-05-15. KPZ equation limit of higher-spin exclusion processes. https://doi.org/10.1214/16-aop1101

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