Random directed and on-line networks

Mathew Penrose; Andrew Wade

doi:10.1093/acprof:oso/9780199232574.003.0007

Random directed and on-line networks

Mathew Penrose, Andrew Wade

Mathematics And Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

3 Citations (Scopus)

Abstract

Various random spatial graphs defined on partially ordered point sets have been treated recently in the literature: these are discussed in the framework of the minimal directed spanning forest. Global distributional limits are discussed, and examples given both of Gaussian and non-Gaussian limiting cases.

Original language	English
Title of host publication	New Perspectives in Stochastic Geometry
Editors	Wilfrid S. Kendall, Ilya Molchanov
Place of Publication	Oxford
Publisher	Oxford University Press
Pages	248-275
Number of pages	28
ISBN (Print)	9780199232574
DOIs	https://doi.org/10.1093/acprof:oso/9780199232574.003.0007
Publication status	Published - 26 Nov 2009

Keywords

minimal directed spanning forest
random spatial graphs
distributional limits
Gaussian
point sets

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10.1093/acprof:oso/9780199232574.003.0007

Cite this

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title = "Random directed and on-line networks",

abstract = "Various random spatial graphs defined on partially ordered point sets have been treated recently in the literature: these are discussed in the framework of the minimal directed spanning forest. Global distributional limits are discussed, and examples given both of Gaussian and non-Gaussian limiting cases. ",

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KW - distributional limits

KW - Gaussian

KW - point sets

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Random directed and on-line networks

Abstract

Keywords

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