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- W2989595961 abstract "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 corresponding law of large numbers—the limit shape of the height function—is described by the (deterministic) homogeneous telegraph equation." @default.
- W2989595961 created "2019-12-05" @default.
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- W2989595961 date "2019-11-01" @default.
- W2989595961 modified "2023-09-27" @default.
- W2989595961 title "A stochastic telegraph equation from the six-vertex model" @default.
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- W2989595961 doi "https://doi.org/10.1214/19-aop1356" @default.
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