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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2015
- DOI:
- 10.48550/arXiv.1505.04158
- arXiv:
- arXiv:1505.04158
- Bibcode:
- 2015arXiv150504158C
- Keywords:
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- Mathematics - Probability;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics
- E-Print:
- 24 pages