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The generating functions of hitting times for random walk on trees

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  • Chen, Haiyan

Abstract

In this paper, using the first-step analysis, we provide the probability generating functions of hitting and cover times for simple random walk (SRW) on path. Furthermore, we give an algorithm to calculate the probability generating functions of hitting times for SRW on general trees, and two illustrative examples are given. Then we show that the expectations and variances of hitting times for SRW on trees are all integers.

Suggested Citation

  • Chen, Haiyan, 2007. "The generating functions of hitting times for random walk on trees," Statistics & Probability Letters, Elsevier, vol. 77(15), pages 1574-1579, September.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:15:p:1574-1579
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    Cited by:

    1. Bapat, R.B., 2011. "On the first passage time of a simple random walk on a tree," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1552-1558, October.
    2. Kiyoshi Inoue & Sigeo Aki & Balakrishnan Narayanaswamy, 2013. "Generating Functions of Waiting Times and Numbers of Visits for Random Walks on Graphs," Methodology and Computing in Applied Probability, Springer, vol. 15(2), pages 349-362, June.

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