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Non-tangential, radial and stochastic asymptotic properties of harmonic functions on trees (1004.4416v1)
Published 26 Apr 2010 in math.MG and math.PR
Abstract: For a harmonic function on a tree with random walk whose transition probabilities are bounded between two constants in (0,1/2), it is known that the radial and stochastic properties of convergence, boundedness and finiteness of energy are all a.s. equivalent. We prove here that the analogous non-tangential properties are a.e. equivalent to the above ones.
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