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A mosaic of triangular cells formed with sequential splitting rules
Published online by Cambridge University Press: 14 July 2016
Abstract
The iterative division of a triangle by chords which join a randomly-selected vertex of a triangle to the opposite side is investigated. Results on the limiting random graph which eventuates are given. Aspects studied are: the order of vertices; the fragmentation of chords; age distributions for elements of the graph; various topological characterisations of the triangles. Different sampling protocols are explored. Extensive use is made of the theory of branching processes.
- Type
- Part 1. Branching processes
- Information
- Journal of Applied Probability , Volume 41 , Issue A: Stochastic Methods and their Applications , 2004 , pp. 3 - 15
- Copyright
- Copyright © Applied Probability Trust 2004