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Biased random walks on directed trees

✍ Scribed by Christiane Takacs


Publisher
Springer
Year
1998
Tongue
English
Weight
250 KB
Volume
111
Category
Article
ISSN
1432-2064

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πŸ“œ SIMILAR VOLUMES


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✍ R. Kutner πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 329 KB

We consider the random walk of a particle along topologically linear channels under the influence of a uniform drift force. The channels are generated by the usual biased random walk procedure. The resulting mean-and mean-square displacements of a particle are discussed.

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The classical gambler's ruin problem, i.e., a random walk along a line may be viewed q raph theoretically as a random walk along a path with the endpoints as absorbing states. This paper is an i0vestigation of the natural generalization of this problem to that of a particle walking randomly on a tre