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New Perspectives in Stochastic Geometry$
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Wilfrid S. Kendall and Ilya Molchanov

Print publication date: 2009

Print ISBN-13: 9780199232574

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199232574.001.0001

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Random Directed and on‐Line Networks

Random Directed and on‐Line Networks

Chapter:
(p.248) 7 Random Directed and on‐Line Networks
Source:
New Perspectives in Stochastic Geometry
Author(s):

Mathew D. Penrose (Contributor Webpage)

Andrew R. Wade

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199232574.003.0007

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.

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

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