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Universality for Last Passage Percolation in Thin RectanglesMathematical 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.