Resistance dimensions of branching processes in varying environments trees

Mokhtar H. Konsowa and Tamer F. Oraby

Statistics & Probability Letters, 2008, vol. 78, issue 1, 67-74

Abstract: In this paper we pursue our study, in Konsowa and Oraby 2003a. [Dimensions of random trees. Statist. Probab. Lett. 62(1), 49-60] and Konsowa and Oraby 2003b. [Fractal dimensions and random walks on random trees. J. Statist. Plann. Inference 116(2), 333-342], on dimensions of some random trees. These dimensions are, for polynomially growing graphs, closely related to the type (transience-recurrence) problem of the simple random walk on such graphs. We give an interval estimation for the mean resistance dimension of branching processes in varying environments trees.

Keywords: Random; walk; Tree; Branching; processes; Resistance; dimension (search for similar items in EconPapers)
Date: 2008
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