Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model

2018/07/12 by Hao Shen, Shen, Hao, Li‐Cheng Tsai +1 · 1 citation
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1807.04678

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.

Cited by

• Markov Duality for Stochastic Six Vertex Model

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• Convergence of the Stochastic Six-Vertex Model to the ASEP
• Strong law of large numbers for the stochastic six vertex model
• Stochastic PDE Limit of the Six Vertex Model
• Limit Shapes of the Stochastic Six Vertex Model
• Tail estimates for the stationary stochastic six vertex model and ASEP