Geodesics in 2D First-Passage Percolation

Geodesics in 2D First-Passage Percolation

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Jack Hanson , Princeton University
Fine Hall 601

I will discuss geodesics in first-passage percolation, a model for fluid flow in a random medium. C. Newman and collaborators have studied questions related to existence and coalescence of infinite geodesics under strong assumptions. I will explain recent results with Michael Damron which develop a framework for addressing these questions; this framework allows us to prove forms of Newman's results under minimal assumptions.