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Random processes with convex coordinates on triangular graphs. (English) Zbl 0884.60068

Summary: Probabilities for reaching specified destinations and expectation values for lengths for random walks on triangular arrays of points and edges are computed. Probabilities and expectation values are given as functions of the convex (barycentric) coordinates of the starting point.

MSC:

60G50 Sums of independent random variables; random walks
60J05 Discrete-time Markov processes on general state spaces
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