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.
| ISBN: | 9783030135461 |
| Publication date: | 10th April 2019 |
| Author: | David Coupier |
| Publisher: | Springer Nature Switzerland AG |
| Format: | Paperback |
| Pagination: | 232 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Probability and statistics Stochastics Image processing Mathematical physics |
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.
Stochastic Geometry features in the following genres: Probability and statistics, Stochastics, Image processing, Mathematical physics
Stochastic Geometry is available in Paperback
Stochastic Geometry was written by David Coupier and published by Springer Nature Switzerland AG
Stochastic Geometry has 232 pages
Yes it is part of Lecture Notes in Mathematics series
£49.49