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On the Expected Number of Visits of a Particle before Absorption in a Correlated Random Walk

Published online by Cambridge University Press:  20 November 2018

G. C. Jain
G. C. Jain*
Affiliation:
Dalhousie University, Halifax, Nova scotia Otago University, Dunedin, New Zealand
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Let a particle move along a straight line a unit distance during every interval of time τ. During the first interval τ it moves to the right with probability ρ1 and to the left with probability ρ2 = 1 - ρ1. Thereafter at the end of each interval τ, the particle with probability p continues its motion in the same direction as in the previous step and with probability q = l - p reverses it.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 3 , September 1973 , pp. 389 - 395
Copyright
Copyright © Canadian Mathematical Society 1973

References

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