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Thursday, August 22, 2019 - 14:00 in ZiF

Random interfaces, geodesics and the directed landscape

A talk in the Summer School Randomness in Physics & Mathematics series by
Bálint Virág

Abstract: Coastlines, the edge of burned paper, the boundary of co ee spots, the game of Tetris: random interfaces surround us. Still, the mathematical theory of one of the the most important cases, the "KPZ universality class", has only been cracked very recently. This class is related to trac models, longest increasing subsequences of random permutations, the RSK correspondence, last passage percolation, integrable probability systems and the stochastic heat equation. A new random metric in the plane, the "directed landscape" captures the essence of these problems.


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