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A one-dimensional random walk with repulsion

Published online by Cambridge University Press:  17 February 2009

D. F. Hines  and
C. J. Thompson
D. F. Hines
Affiliation:
Department of Physics, University of Melbourne, Parkville, Vic. 3052
C. J. Thompson
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Vic. 3052
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Abstract

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A one-sided one-dimensional random walk with repulsion from the origin is solved exactly. The walk imitates the self-avoiding walk problem insofar as the mean end-to-end distance of an n-step walk tends asymptotically to n as n tends to infinity.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 3 , June 1978 , pp. 375 - 380
Copyright
Copyright © Australian Mathematical Society 1978

References

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