Overview
- Offers comprehensive insights into cutting-edge stochastic geometry research and applications
- Features contributions from leading experts, blending theory with practical applications
- Covers diverse topics, including percolation, Gaussian fields, and signal processing
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2365)
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About this book
This volume covers a broad spectrum of topics in stochastic geometry, including percolation, tessellations, Gaussian fields and point processes. Based on lectures given at the Stochastic Geometry Days held by the Stochastic Geometry Research Group from 2019 to 2022, the book opens with an introduction to Russo–Seymour–Welsh theory for the study of percolation, before going on to explore random tessellations and their applications, the geometry of Gaussian random fields, and the zeros of analytic Gaussian fields. This discussion naturally leads to the concept of determinantal point processes, whose applications in signal processing are the focus of the final chapter. Providing a unique and accessible overview of active fields in stochastic geometry, their tools and models, this collection of lectures will encourage further research and applications.
Keywords
- Stochastic Geometry
- Percolation
- Gaussian Random Fields
- Determinantal Processes
- Tesselation
Editors and Affiliations
About the editor
Hermine Biermé is responsible for the Stochastic Geometry Research Group (RT CNRS INSMI 3477), a national research structure funded by the CNRS, established in 2012, that aims to unite the French community working in this field. Since 2014, its annual meetings have been preceded by introductory courses for graduate students, postdocs, and researchers looking to delve into stochastic geometry. Five of the initial lectures from 2014 to 2017 were compiled in the book "Stochastic Geometry: Modern Research Frontiers" (2019), edited by David Coupier, in the "CEMPI Subseries" of Springer’s Lecture Notes in Mathematics.
Bibliographic Information
Book Title: Stochastic Geometry: Percolation, Tesselations, Gaussian Fields and Point Processes
Editors: Hermine Biermé
Series Title: Lecture Notes in Mathematics
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2025
Softcover ISBN: 978-3-031-87263-1Due: 01 August 2025
eBook ISBN: 978-3-031-87264-8Due: 01 August 2025
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 234
Number of Illustrations: 90 b/w illustrations, 27 illustrations in colour