Biased tug-of-war, the biased infinity Laplacian, and comparison with exponential cones

Yuval Peres, Gábor Pete, Stephanie Somersille

We prove that if U\subset\R^n is an open domain whose closure \overline{U} is compact in the path metric, and F is a Lipschitz function on \partial{U}, then for each β\in\R there e…