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arXiv · 0711.2675

A note on random walks in a hypercube

Stanislav Volkov·Timothy Wong
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Abstract

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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Stanislav Volkov, Timothy Wong. 2007-11-16. A note on random walks in a hypercube. https://arxiv.org/abs/0711.2675

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