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Spatial correlations of the 1D KPZ surface

Wednesday 22nd March 2006 - 11:00 to 12:00
INI Seminar Room 1

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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons