Applied Mathematics and Computation Seminar
Biased Tug of War, The Biased Infinity Laplacian and Comparison with Exponential Cones
Professor Stephanie Somersille, University of Texas

We use the game Biased Tug of War to prove results for a degenerate elliptic second order partial differential equation involving the infinity Laplacian operator and the norm of the gradient. We extend the ideas of Peres, Schramm, Sheffield and Wilson and use the game random turn tug of war but instead consider a biased coin. We will discuss the differences that arise in the proofs of the existence and uniqueness of the corresponding partial differential equation. This talk is based on joint work with Yuval Peres and Gabor Pete.

Refreshments at 3:45

4:00pm–5:00pm, Tuesday, October 27, 2009 in LGRT 1634

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