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CONDUCTIVITY OF RANDOM TREES
Published online by Cambridge University Press: 21 May 2002
Abstract
We prove that the effective resistances of spherically symmetric random trees dominate in mean the effective resistances of random trees corresponding branching processes in varying environments and having the same growth law of spherically symmetric trees. We conjecture that the statement does not necessarily hold true in the case of stochastic domination and give an idea of constructing a counterexample.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 16 , Issue 2 , April 2002 , pp. 233 - 240
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- © 2002 Cambridge University Press
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