On the equal time two-point distribution of the one-dimensional KPZ equation by replica
Statistical Mechanics
2015-06-15 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1305.1217,
title = {On the equal time two-point distribution of the one-dimensional KPZ equation by replica},
author = {T. Imamura and T. Sasamoto and H. Spohn},
journal= {arXiv preprint arXiv:1305.1217},
year = {2015}
}
Comments
11 pages, no figure