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OverviewFull Product DetailsAuthor: Mathew Penrose (, Department of Mathematical Sciences, Durham University)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 5 Dimensions: Width: 16.20cm , Height: 2.30cm , Length: 24.10cm Weight: 0.649kg ISBN: 9780198506263ISBN 10: 0198506260 Pages: 344 Publication Date: 01 May 2003 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1. Introduction ; 2. Probabilistic ingredients ; 3. Subgraph and component counts ; 4. Typical vertex degrees ; 5. Geometrical ingredients ; 6. Maximum degree, cliques and colourings ; 7. Minimum degree: laws of large numbers ; 8. Minimum degree: convergence in distribution ; 9. Percolative ingredients ; 10. Percolation and the largest component ; 11. The largest component for a binomial process ; 12. Ordering and partitioning problems ; 13. Connectivity and the number of components ; References ; IndexReviewsThe book is suitable to design a graduate course in random geometric graphs. Its scope stretches far beyond geometric probability and includes exciting material from Poisson approximation, percolation and statistical physics. This elegantly written monograph belongs to the collection of important books vital for every probabilist. Zentralblatt MATH Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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