New Perspectives in Stochastic Geometry

Hardcover | December 26, 2009

EditorWilfrid S. Kendall, Ilya Molchanov

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Stochastic Geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, their probability theory, and the challenging problems raised by their statistical analysis. Ithas grown rapidly in response to challenges in all kinds of applied science, from image analysis through to materials science. Recently, still more stimulus has arisen from exciting new links with rapidly developing areas of mathematics, from fractals through percolation theory to randomizedallocation schemes. Coupled with many ongoing developments arising from all sorts of applications, the area is changing and developing rapidly. This book is intended to lay foundations for future research directions, by collecting together 17 chapters contributed by leading researchers in the field,both theoreticians and people involved in applications, surveying these new developments both in theory and in applications. It will introduce and lay foundations for appreciating the fresh perspectives, new ideas and interdisciplinary connections now arising from Stochastic Geometry and from otherareas of mathematics now connecting to this area. This will benefit young researchers wishing to gain quick access to the area, scientists from other fields wanting perspectives on what the area has to offer their own speciality, and workers already active in the field who will enjoy and profit fromthe coverage of a wide and rapidly developing field.

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Stochastic Geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, their probability theory, and the challenging problems raised by their statistical analysis. Ithas grown rapidly in response to challenges i...

W.S.Kendall earned a DPhil in probability theory at the University of Oxford in 1979, and then worked as a Lecturer and then Senior Lecturer in Statistics at Hull and Strathclyde Universities before coming to Warwick in 1988. He has authored or edited 5 books and published about 90 papers. At Warwick he has risen through the ranks fro...

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Format:HardcoverDimensions:608 pages, 9.21 × 6.14 × 0.1 inPublished:December 26, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199232571

ISBN - 13:9780199232574

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Table of Contents

Preface1. Rolf Schneider and Wolfgang Weil: Classical stochastic geometryPart I: New Developments in Classical Stochastic Geometry2. Matthias Reitzner: Random polytopes3. Gunter Last: Modern random measures: Palm theory and related models4. Tomasz Schreiber: Limit theorems in stochastic geometry5. P. Calka: TessellationsPart II: Stochastic Geometry and Modern Probability6. Remco van der Hofstad: Percolation and random graphs7. Mathew D. Penrose and Andrew R. Wade: Random directed and on-line networks8. Peter Morters: Random fractalsPart III: Statistics and Stochastic Geometry9. Jesper Moller: Inference10. W.S. Kendall and Huiling Le: Statistical shape theory11. Antonio Cuevas and Ricardo Fraiman: Set estimation12. Ignacio Cascos: Data depth: multivariate statistics and geometryPart IV: Applications13. M.N.M. van Lieshout: Applications of stochastic geometry in image analysis14. Werner Nagel: Stereology15. Klaus Mecke: Physics of spatially structured materials16. Sergei Zuyev: Stochastic geometry and telecommunications networks17. Ilya Molchanov: Random sets in finance and econometricsIndex