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Universality for Last Passage Percolation in Thin Rectangles

Mathematical Physics & Probability

Speaker: Toufic Suidan, University of California at Santa Cruz
Location: 693 Kerr
Start time: Tue, Dec 6 2005, 3:10PM

We consider the problem of last passage percolation (with general random variables) in thin rectangles and prove that the fluctuations of the last passage time are given by the Tracy-Widom GUE distribution. We explain connections to random matrix theory, Dyson's Brownian motion, and nonintersecting Browninan motions. This is joint work with J. Baik.