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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

  • Adrian Baddeley
  • Imre Bárány
  • Rolf Schneider
  • Wolfgang Weil

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

About this book

Introduction

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 1974. 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 and affiliations

  • Adrian Baddeley
    • 1
  • Imre Bárány
    • 2
    • 3
  • Rolf Schneider
    • 4
  1. 1.School of Mathematics & StatisticsUniversity of Western AustraliaNedlandsAustralia
  2. 2.Rényi Institute of MathematicsHungary
  3. 3.MathematicsUniversity College LondonLondonUK
  4. 4.Mathematisches InstitutAlbert-Ludwigs-UniversitätFreiburg i. BrGermany

Editors and affiliations

  • Wolfgang Weil
    • 1
  1. 1.Mathematisches InstitutAlbert-Ludwigs-UniversitätFreiburg i. BrGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-38174-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-38174-7
  • Online ISBN 978-3-540-38175-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site