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An Isaac Newton Institute Programme

Principles of the Dynamics of Non-Equilibrium Systems

Spatial correlations of the 1D KPZ surface

23rd March 2006

Author: T. Sasamoto (Chiba University)


We discuss the fluctuation properties of 1D growing surfaces in the KPZ universality class. The systems are defined on the infinite lattice. After a short review of the connection of the problems to random matrix theory and vicious walk problems, we discuss the joint distribution of the height fluctuation on a flat substrate.