title: Exact solution for the stationary Kardar-Parisi-Zhang equation.
abstract: We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm determinant, which is valid for any finite time t. The expression is explicit and compact enough so that it can be evaluated numerically. Furthermore, by extending the same scheme, we find an exact formula for the stationary two-point correlation function.
authors.affiliation: Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo 153-8904, Japan. imamura@jamology.rcast.u-tokyo.ac.jp
authors.forename: Takashi
authors.initials: T
authors.lastname: Imamura
authors.forename: Tomohiro
authors.initials: T
authors.lastname: Sasamoto