Random walks on the Bethe lattice |
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| Authors: | Barry D Hughes Muhammad Sahimi |
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| Institution: | (1) Department of Chemical Engineering and Materials Science, University of Minnesota, 55455 Minneapolis, Minnesota |
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| Abstract: | We obtain random walk statistics for a nearest-neighbor (Pólya) walk on a Bethe lattice (infinite Cayley tree) of coordination numberz, and show how a random walk problem for a particular inhomogeneous Bethe lattice may be solved exactly. We question the common assertion that the Bethe lattice is an infinite-dimensional system.Supported in part by the U.S. Department of Energy. |
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| Keywords: | Random walks Bethe lattice Cayley tree first passage times |
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