# On Time Correlations for KPZ Growth in One Dimension

@article{Ferrari2016OnTC,
title={On Time Correlations for KPZ Growth in One Dimension},
author={Patrik L. Ferrari and Herbert Spohn},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2016},
volume={12},
pages={074}
}
• Published 1 February 2016
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
Time correlations for KPZ growth in 1 + 1 dimensions are reconsidered. We discuss flat, curved, and stationary initial conditions and are interested in the covariance of the height as a function of time at a fixed point on the substrate. In each case the power laws of the covariance for short and long times are obtained. They are derived from a variational problem involving two independent Airy processes. For stationary initial conditions we derive an exact formula for the stationary covariance…

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