Stochastic Geometry: Modern Research Frontiers (Lecture Notes in Mathematics, 2237) - Softcover

Softcover

ISBN 10: 3030135462 ISBN 13: 9783030135461

Publisher: Springer, 2019

Synopsis

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.

 

About this title

From the Back Cover

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.

 

Edition details

• Publisher: Springer
• Publication date: 2019
• Language: English
• ISBN 10: 3030135462
• ISBN 13: 9783030135461
• Binding: Paperback
• Edition number: 1
• Number of pages: 245
• Editor: Coupier David