@article{f7107bfaa4ad455ba81724b475228cd2,

title = "Stochastic Telegraph Equation Limit For The Stochastic Six Vertex Model",

abstract = "In this article we study the stochastic six vertex model under the scaling proposed by Borodin and Gorin, where the weights of corner-shape vertices are tuned to zero, and prove their conjecture that the height fluctuation converges in finite dimensional distributions to the solution of the stochastic telegraph equation.",

author = "Hao Shen and Tsai, {Li Cheng}",

note = "Funding Information: Received by the editors July 14, 2018, and, in revised form, September 24, 2018. 2010 Mathematics Subject Classification. Primary 60H15, 82B20. The first author was partially supported by the NSF through DMS:1712684. The second author was partially supported by the NSF through DMS-1712575 and the Simons Foundation through a Junior Fellowship. This work was initiated in the conference Integrable Probability Boston 2018, May 14-18, 2018, at MIT, which was supported by the NSF through DMS-1664531, DMS-1664617, DMS-1664619, and DMS-1664650. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society. All rights reserved.",

year = "2019",

doi = "10.1090/proc/14415",

language = "English (US)",

volume = "147",

pages = "2685--2705",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "6",

}