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Random motion on binary trees

Published online by Cambridge University Press:  14 July 2016

Douglas H. Frank  and
Stephen Durham
Douglas H. Frank
Affiliation:
University of South Carolina, Columbia
Stephen Durham*
Affiliation:
University of South Carolina, Columbia
*
∗ Postal address: Department of Mathematics and Statistics, University of South Carolina, Columbia, SC 29208, U.S.A.
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Abstract

This paper presents a model for random motion on binary trees. The symmetric model is defined first, and then a model with drift is given. Formulas for absorption probabilities and expected absorption times are presented in both cases.

Keywords

TRIPODHEIGHT OF AN ELEMENTX-TERMINAL TREEORIENTED TREESYMMETRIC BROWNIAN MOTIONBROWNIAN MOTION WITH DRIFT
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 58 - 69
Copyright
Copyright © Applied Probability Trust 1984 

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