Proceedings of the American Mathematical Society, Vol. 42, No. 2 (Feb., 1974), pp. 588-594 (7 pages) For any topological space X there is an associated ultrametric space U(X) such that the cartesian ...
We determine the Martin boundary for aperiodic simple random walk on a bi-tree, that is, the Cartesian product of two homogeneous trees. This is obtained by first deriving a "renewal theorem," giving ...
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