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Resistance dimensions of branching processes in varying environments trees

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  • Konsowa, Mokhtar H.
  • Oraby, Tamer F.

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.

Suggested Citation

  • Konsowa, Mokhtar H. & Oraby, Tamer F., 2008. "Resistance dimensions of branching processes in varying environments trees," Statistics & Probability Letters, Elsevier, vol. 78(1), pages 67-74, January.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:1:p:67-74
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    1. Konsowa, Mokhtar H. & Oraby, Tamer F., 2003. "Dimensions of random trees," Statistics & Probability Letters, Elsevier, vol. 62(1), pages 49-60, March.
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