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Stochastic Geometry

Modern Research Frontiers

  • David Coupier

Part of the Lecture Notes in Mathematics book series (LNM, volume 2237)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jean-François Coeurjolly, Frédéric Lavancier
    Pages 45-85
  3. Agnès Desolneux
    Pages 87-127
  4. Back Matter
    Pages 231-232

About this book

Introduction

This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. 

Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures.

The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject:  understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes.

Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

 

Keywords

Convex Geometry Random Graphs Spatial Statistics Stochastic Geometry Stochastic Processes

Editors and affiliations

  • David Coupier
    • 1
  1. 1.LAMAVUniversité Polytechnique des Hauts de France (UPHF)ValenciennesFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-13547-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-13546-1
  • Online ISBN 978-3-030-13547-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site