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A simple random walk on parallel axes moving at different rates

Published online by Cambridge University Press:  14 July 2016

V. Barnett*
Affiliation:
University of Bathcor1corresp
*

Abstract

Prompted by a rivulet model for the flow of liquid through packed columns we consider a simple random walk on parallel axes moving at different rates. A particle may make one of three transitions at each time instant: to the right or to the left on the axis it was on at the previous time instant, or across to the other axis. Results are obtained for the unrestricted walk, and for the walk with absorbing, or reflecting, end-points.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1975 

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