树上调和函数的非切、径向和随机渐近性质
Non-tangential, radial and stochastic asymptotic properties of harmonic functions on trees
摘要：
对于转移概率有界于（0，1/2）中两个常数之间的随机游动树上的调和函数，我们知道其收敛性、有界性和能量有限性的径向和随机性质都是a.s.相当于我们在这里证明了类似的非切向性质是a.e.相当于上面的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
