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ASEP(q,j) converges to the KPZ equation

Probability 2016-11-01 v2 Mathematical Physics math.MP

Abstract

We show that a generalized Asymmetric Exclusion Process called ASEP(q,j) introduced by Carinci, Giardina, Redig and Sasamoto converges to the Cole-Hopf solution to the KPZ equation under weak asymmetry scaling.

Keywords

Cite

@article{arxiv.1602.01908,
  title  = {ASEP(q,j) converges to the KPZ equation},
  author = {Ivan Corwin and Hao Shen and Li-Cheng Tsai},
  journal= {arXiv preprint arXiv:1602.01908},
  year   = {2016}
}

Comments

20 pages