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Stochastic telegraph equation limit for the stochastic six vertex model. (English) Zbl 1412.60094

Summary: In this article, we study the stochastic six vertex model under the scaling proposed by A. Borodin and V. Gorin [“A stochastic telegraph equation from the six-vertex model”, Preprint, arXiv:1803.09137], 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.

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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