KPZ equation limit of stochastic higher spin six vertex model

Yier Lin

KPZ equation limit of stochastic higher spin six vertex model

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1905.11155 v2 pith:Q7BHHNM7 submitted 2019-05-27 math.PR math-phmath.MP

Yier Lin This is my paper · ORCID

classification math.PRmath-phmath.MP

keywords modelspinequationgeneralhighershs6vstochasticvertex

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameters $I, J$. Starting from near stationary initial condition, we prove that the SHS6V model converges to the KPZ equation under weakly asymmetric scaling. This generalizes the result of [Corwin-Ghosal-Shen-Tsai, 2018] from $I = J =1$ to general $I, J$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Stochastic Fusion of Interacting Particle Systems and Duality Functions
math.PR 2019-08 conditional novelty 7.0 of 10

Stochastic fusion builds higher-spin exclusion processes and duality functions from stationary measures of exclusion processes via Rogers-Pitman intertwining.

Pith tools