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.
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Supported in part by the U.S. Department of Energy.
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Hughes, B.D., Sahimi, M. Random walks on the Bethe lattice. J Stat Phys 29, 781–794 (1982). https://doi.org/10.1007/BF01011791
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DOI: https://doi.org/10.1007/BF01011791