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2020 The stochastic telegraph equation limit of the stochastic higher spin six vertex model
Yier Lin
Electron. J. Probab. 25: 1-30 (2020). DOI: 10.1214/20-EJP552

Abstract

In this paper, we prove that the stochastic telegraph equation arises as a scaling limit of the stochastic higher spin six vertex (SHS6V) model with general spin $I/2, J/2$. This extends results of Borodin and Gorin which focused on the $I=J=1$ six vertex case and demonstrates the universality of the stochastic telegraph equation in this context. We also provide a functional extension of the central limit theorem obtained in [BG19, Theorem 6.1]. The main idea is to generalize the four point relation established in [BG19, Theorem 3.1], using fusion.

Citation

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Yier Lin. "The stochastic telegraph equation limit of the stochastic higher spin six vertex model." Electron. J. Probab. 25 1 - 30, 2020. https://doi.org/10.1214/20-EJP552

Information

Received: 10 May 2020; Accepted: 11 November 2020; Published: 2020
First available in Project Euclid: 19 December 2020

Digital Object Identifier: 10.1214/20-EJP552

Subjects:
Primary: 60H15, 82B20

JOURNAL ARTICLE
30 PAGES


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