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Geodesics in First-Passage Percolation

Chris Hoffman, University of Washington
Monday, October 30, 2017 - 2:30pm to 3:30pm
MEB 246

First-passage percolation is a classical random growth model which comes from statistical physics. We will discuss recent results about the relationship between the limiting shape in first passage percolation and the structure of the infinite geodesics. This incudes a solution to the midpoint problem of Benjamini, Kalai and Schramm. This is joint work with Gerandy Brito and Daniel Ahlberg.