Stochastic Geometry: Percolation, Tesselations, Gaussian Fields and Point Processes (Lecture Notes in Mathematics 2365) （2025. xiii, 234 S. XIII, 234 p. 117 illus., 27 illus. in color. 235 mm）

Herausgegeben:Biermé/, Hermine

SPRINGER, BERLIN; SPRINGER NATURE SWITZERLAND; SPRING（2025発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 230 p.
• 言語 ENG
• 商品コード 9783031872631

Full Description

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.

Contents

- 1. An Introduction to Russo-Seymour-Welsh Theory.- 2. Random Tessellations - An Overview of Models.- 3. Gaussian Fields through Geometrical Properties.- 4. Complex Gaussian Zeros and Eigenvalues.- 5. Point Processes and Spatial Statistics in Time-Frequency Analysis.