374 citations · 1.2k across the 68 of their papers we have counts for
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math.AP2006★ 1 cited
Tug of war with noise: a game theoretic view of the p-Laplacian
Yuval Peres, Scott Sheffield
Fix a bounded domain Omega in R^d, a continuous function F on the boundary of Omega, and constants epsilon>0, p>1, and q>1 with p^{-1} + q^{-1} = 1. For each x in Omega, let u^epsi…
math.AP2006★ 374 cited
Tug-of-war and the infinity Laplacian
Yuval Peres, Oded Schramm, Scott Sheffield +1
We prove that every bounded Lipschitz function F on a subset Y of a length space X admits a tautest extension to X, i.e., a unique Lipschitz extension u for which Lip_U u = Lip_{bo…