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MP: Theoretische und Mathematische Grundlagen der Physik

MP I: HV I

MP I.1: Invited Talk

Monday, March 26, 2001, 16:15–17:15, HS VIII

Random Matrices and Growth Processes in One Dimension — •Herbert Spohn — TU München, Zentrum Mathematik

The Tracy-Widom distribution of the largest eigenvalue of a Gaussian random matrix reappears as the distribution of the height fluctuations in one dimensional growth models. We explain this surprising link in terms of the equilibrium statistical mechanics of surfaces in two dimensions with linear boundary constraints.