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arXiv · 1305.1217

On the equal time two-point distribution of the one-dimensional KPZ equation by replica

T. Imamura·T. Sasamoto·H. Spohn
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Abstract

In a recent contribution, Dotsenko establishes a Fredholm determinant formula for the two-point distribution of the KPZ equation in the long time limit and starting from narrow wedge initial conditions. We establish that his expression is identical to the Fredholm determinant resulting from the Airy$_2$ process.

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T. Imamura, T. Sasamoto, H. Spohn. 2013-05-06. On the equal time two-point distribution of the one-dimensional KPZ equation by replica. https://doi.org/10.1088/1751-8113/46/35/355002

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