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.
Editors and affiliations
- Book Title Stochastic Geometry
- Book Subtitle Modern Research Frontiers
- Series Title Lecture Notes in Mathematics
- Series Abbreviated Title Lect.Notes Mathematics
- 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 Mathematics and Statistics (R0)
- Softcover ISBN 978-3-030-13546-1
- eBook ISBN 978-3-030-13547-8
- 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
Probability Theory and Stochastic Processes
Statistical Theory and Methods
Computer Imaging, Vision, Pattern Recognition and Graphics
Mathematical Applications in the Physical Sciences
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“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)