Spatial correlations of the 1D KPZ surface on a flat substrate
Spatial correlations of the 1D KPZ surface on a flat substrate
We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by a Fredholm determinant, with its kernel in the scaling limit explicitly obtained. This may also describe the dynamics of the largest …