Submitted Paper
(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
Download: