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A note on Harris's condition for recurrence in random walk processes

Published online by Cambridge University Press:  14 July 2016

P. J. Thomson  and
K. M. Wilkinson
P. J. Thomson
Affiliation:
University of Nottingham
K. M. Wilkinson
Affiliation:
University of Nottingham
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Abstract

This note corrects a short and transparent proof of Harris's condition for recurrence in random walk processes.

Keywords

RANDOM WALK PROCESSESRECURRENCESTRONG MARKOV PROPERTY
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 3 , September 1975 , pp. 633 - 634
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Breiman, L. (1968) Probability. Addison-Wesley, Reading, Mass.Google Scholar
[2] Knopp, K. (1928) Theory and Application of Infinite Series. Blackie, London and Glasgow.Google Scholar