Overview
- Contains a historically motivated introduction to Stochastic Geometry
- Gives a unique and accessible overview, up to the frontiers of recent research, of the most active fields in Stochastic Geometry
- Numerous figures illustrate the chapters
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2237)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“The volume will be of interest to active researchers in stochastic geometry who want a concise summary of current frontiers in the areas that it covers.” (H. Van Dyke Parunak, Computing Reviews, April 13, 2021)
Editors and Affiliations
Bibliographic Information
Book Title: Stochastic Geometry
Book Subtitle: Modern Research Frontiers
Editors: David Coupier
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-13547-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-13546-1Published: 10 April 2019
eBook ISBN: 978-3-030-13547-8Published: 09 April 2019
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 232
Number of Illustrations: 44 b/w illustrations, 27 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Statistical Theory and Methods, Computer Imaging, Vision, Pattern Recognition and Graphics, Mathematical Applications in the Physical Sciences