| TUG-OF-WAR AND THE INFINITY LAPLACIAN (2008) | |||||||||||||||
Abstract | |||||||||||||||
| 1.1. Overview. We consider a class of zero-sum two-player stochastic games called tug-of-war and use them to prove that every bounded real-valued Lipschitz function F on a subset Y of a length space X admits a unique absolutely minimal (AM) extension to X, i.e., a unique Lipschitz extension u: X → R for which | |||||||||||||||
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