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On the speed of random walks on random trees

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  • Konsowa, Mokhtar H.

Abstract

The speed of a random walk on a graph depends on the structure of that graph. We consider the simple random walks on infinite leafless trees, where the speed is closely related to the branching rate in such a way that the more the branching of the tree the more likely the speed is positive. We determine the speed of simple random walks on some random trees.

Suggested Citation

  • Konsowa, Mokhtar H., 2009. "On the speed of random walks on random trees," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2230-2236, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2230-2236
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    References listed on IDEAS

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    1. Konsowa, Mokhtar H. & Oraby, Tamer F., 2003. "Dimensions of random trees," Statistics & Probability Letters, Elsevier, vol. 62(1), pages 49-60, March.
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    1. Konsowa, Mokhtar H. & Oraby, Tamer F., 2008. "Resistance dimensions of branching processes in varying environments trees," Statistics & Probability Letters, Elsevier, vol. 78(1), pages 67-74, January.

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