%0 Generic %1 imamura2011exact %A Imamura, Takashi %A Sasamoto, Tomohiro %D 2011 %K KPZ %R 10.1103/PhysRevLett.108.190603 %T Exact solution for the stationary Kardar-Parisi-Zhang equation %U http://arxiv.org/abs/1111.4634 %X 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.

@misc{imamura2011exact, 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.}, added-at = {2012-06-15T23:01:52.000+0200}, author = {Imamura, Takashi and Sasamoto, Tomohiro}, biburl = {https://www.bibsonomy.org/bibtex/2504cfa9650e863851fab6557cd2a673d/vakaryuk}, description = {Exact solution for the stationary Kardar-Parisi-Zhang equation}, doi = {10.1103/PhysRevLett.108.190603}, interhash = {499fb1c06123e6110f500300c55ccaac}, intrahash = {504cfa9650e863851fab6557cd2a673d}, keywords = {KPZ}, note = {cite arxiv:1111.4634 Comment: 9 pages, 3 figures}, timestamp = {2012-06-15T23:01:52.000+0200}, title = {Exact solution for the stationary Kardar-Parisi-Zhang equation}, url = {http://arxiv.org/abs/1111.4634}, year = 2011 }