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THE SPEED OF RANDOM WALKS ON TREES AND ELECTRIC NETWORKS

Published online by Cambridge University Press:  17 November 2011

Mokhtar Konsowa  and
Fahimah Al-Awadhi
Mokhtar Konsowa
Affiliation:
Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait E-mail: Konsowa@kuc01.kuniv.edu.kw; fahima@kuc01.kuniv.edu.kw
Fahimah Al-Awadhi
Affiliation:
Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat 13060, Kuwait E-mail: Konsowa@kuc01.kuniv.edu.kw; fahima@kuc01.kuniv.edu.kw
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Abstract

The speed of the random walk on a tree is the rate of escaping its starting point. It depends on the way that the branching occurs in the sense that if the average number of branching is large, the speed is more likely to be positive. The speed on some models of random trees is calculated via calculating the hitting times of the consecutive levels of the tree.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 1 , January 2012 , pp. 105 - 116
Copyright
Copyright © Cambridge University Press 2011

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References

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