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Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model

Probability 2018-07-13 v1

Abstract

In this article we study the stochastic six vertex model under the scaling proposed by Borodin and Gorin (2018), where the weights of corner-shape vertices are tuned to zero, and prove Conjecture 6.1 therein: that the height fluctuation converges in finite dimensional distributions to the solution of stochastic telegraph equation.

Cite

@article{arxiv.1807.04678,
  title  = {Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model},
  author = {Hao Shen and Li-Cheng Tsai},
  journal= {arXiv preprint arXiv:1807.04678},
  year   = {2018}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-23T02:59:12.217Z