A stochastic telegraph equation from the six-vertex model

@article{Borodin2019AST,
  title={A stochastic telegraph equation from the six-vertex model},
  author={Alexei Borodin and Vadim Gorin},
  journal={The Annals of Probability},
  year={2019}
}
A stochastic telegraph equation is defined by adding a random inhomogeneity to the classical (second order linear hyperbolic) telegraph differential equation. The inhomogeneities we consider are proportional to the two-dimensional white noise, and solutions to our equation are two-dimensional random Gaussian fields. We show that such fields arise naturally as asymptotic fluctuations of the height function in a certain limit regime of the stochastic six vertex model in a quadrant. The… 

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