Cut-set sums and tree processes-Reference-Cited by-同舟云学术

Cut-set sums and tree processes

Published:1987 Issue:2 Volume:101 Page:337-346
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Falconer K. J.

Abstract

Suppose that an infinite tree has a value assigned to each vertex. We obtain estimates for the sums of such values over cut-sets of the tree. For certain tree processes, where the values are given by random variables, we investigate the almost sure behavior of such cut-set sums. Processes of this type arise in problems concerning random fractals and flows in random networks.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-101-02/S0002-9939-1987-0902553-7/S0002-9939-1987-0902553-7.pdf

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