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arxiv: 1807.04678 · v1 · pith:XYRMRU7Fnew · submitted 2018-07-12 · 🧮 math.PR

Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model

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keywords stochasticequationmodeltelegraphvertexarticleborodinconjecture
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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.

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