Probability Seminar

Bill CoopermanUniversity of Chicago
Homogenization for the random G equation

Monday, March 20, 2023 - 3:45pm
Malott 406

Abstract: How can a fish swim from point A to point B if the ocean current flows faster than the fish can swim? If the current is mean-zero and random in space, then the fish has a chance. I will discuss some results on stochastic homogenization of the G equation, a convex but non-coercive Hamilton-Jacobi equation. Along the way, I will present a simplified proof of a quantitative first-passage percolation shape theorem of Kesten.