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Percolation of coalescing random walks

Published online by Cambridge University Press:  14 July 2016

Bao Gia Nguyen
Bao Gia Nguyen*
Affiliation:
Illinois Institute of Technology
*
∗Postal address: Department of Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA.
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Abstract

We study the shape of the binary tree containing 0 that is created from percolation of coalescing random walks. The key result is a duality lemma describing the shape of the tree. Furthermore, we show that and where A(R0), M(R0), L(R0) are respectively the area, the number of external nodes and the length of the longest path of the tree R0.

Keywords

DUALITYCONDITIONED LIMIT THEOREM
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 269 - 277
Copyright
Copyright © Applied Probability Trust 1990 

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