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Growth models in one dimension and random matrices: Lecture III

Presented by: 
H Spohn [TU Muenchen]
Date: 
Friday 7th April 2006 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 

The motion of an interface separating a stable from an unstable phase is a well-studied problem in nonequilibrium dynamics, in particular since the field-theoretic formulation by Kardar, Parisi, and Zhang. For a one-dimensional interface many universal quantities of physical interest can be computed exactly. Surprisingly enough, there are links to the soft edge scaling of Gaussian unitary matrices. We explain the type of growth models which can be handled, how the connection to random matrices arises, and some of the predictions for one-dimensional growth.

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