On the equal time two-point distribution of the one-dimensional KPZ equation by replica
arXiv:1305.1217 · doi:10.1088/1751-8113/46/35/355002
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 process.
11 pages, no figure
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- Two-temperature statistics of free energies in (1+1) directed polymers