1305.1217 (T. Imamura et al.)

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

T. Imamura, T. Sasamoto, H. Spohn

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.

View original: http://arxiv.org/abs/1305.1217