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Stochastic Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004

Editors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1892)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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About this book

Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory of random sets was founded by D. Kendall and G. Matheron in the early 1970's. Its rapid development was influenced by applications in Spatial Statistics and by its close connections to Integral Geometry. The volume "Stochastic Geometry" contains the lectures given at the CIME summer school in Martina Franca in September 2004. The four main lecturers covered the areas of Spatial Statistics, Random Points, Integral Geometry and Random Sets, they are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents an up-to-date description of important parts of Stochastic Geometry.

Keywords

  • integral geometry
  • point process
  • point processes
  • random mosaics
  • random points
  • random sets
  • statistics

Authors, Editors and Affiliations

  • Mathematisches Institut, Albert-Ludwigs-Universität, Freiburg i. Br, Germany

    Wolfgang Weil, Rolf Schneider

  • School of Mathematics & Statistics, University of Western Australia, Nedlands, Australia

    Adrian Baddeley

  • Rényi Institute of Mathematics, Hungary

    Imre Bárány

  • Mathematics, University College London, London, UK

    Imre Bárány

Bibliographic Information

  • Book Title: Stochastic Geometry

  • Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004

  • Authors: Adrian Baddeley, Imre Bárány, Rolf Schneider

  • Editors: Wolfgang Weil

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/3-540-38174-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Softcover ISBN: 978-3-540-38174-7Published: 27 October 2006

  • eBook ISBN: 978-3-540-38175-4Published: 26 October 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 292

  • Number of Illustrations: 36 b/w illustrations

  • Topics: Probability Theory, Convex and Discrete Geometry, Differential Geometry

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions