Submitted Paper
Inserted: 16 jan 2011
Year: 2011
Abstract:
We characterize $p$-harmonic functions including $p=1$ and $p=\infty$ by using mean value properties extending classical results of Privaloff from the linear case $p=2$ to all $p$'s. We describe a class of random tug-of-war games whose value functions approach $p$-harmonic functions as the step goes to zero for the full range $1<p<\infty$.
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