On the first passage time of a simple random walk on a tree

R.B. Bapat

Statistics & Probability Letters, 2011, vol. 81, issue 10, 1552-1558

Abstract: We consider a simple random walk on a tree. Exact expressions are obtained for the expectation and the variance of the first passage time, thereby recovering the known result that these are integers. A relationship of the mean first passage matrix with the distance matrix is established and used to derive a formula for the inverse of the mean first passage matrix.

Keywords: Random; walk; Tree; Mean; first; passage; matrix; Distance; matrix; Laplacian; matrix (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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