A note on random walks in a hypercube

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We study a simple random walk on an n-dimensional hypercube. For any starting position we find the probability of hitting vertex a before hitting vertex b, whenever a and b share the same edge. This generalizes the model in Doyle, P., and Snell, J., "Random Walks and Electric Networks", Mathematical Association of America, 1984 (see Exercise 1.3.7 there).

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Probability, Combinatorics, 60G50, 60J45

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http://salesiana.dossiersoluciones.com/handle/123456789/142316

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2675
 http://arxiv.org/abs/0711.2675

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arXiv