arXiv:1505.04158 Abstract | arXiv Analytics

arXiv:1505.04158 [math.PR]Abstract References Reviews Resources

KPZ equation limit of higher-spin exclusion processes

Published 2015-05-15Version 1

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.

Comments: 24 pages

Categories: math.PR, cond-mat.stat-mech, math-ph, math.MP

Keywords: kpz equation limit, higher-spin exclusion processes, interacting particle system, petrov converges, relatively small number

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