Stochastic geometry : percolation, tesselations, Gaussian fields and point processes / Hermine Biermé, editor.

Format:

Book

Contributor:

Biermé, Hermine, editor.

Centre européen pour les mathématiques, la physique et leurs interactions

Series:

Lecture notes in mathematics (Springer-Verlag) ; 0075-8434 2365.

Lecture notes in mathematics, 0075-8434 ; 2365

Language:

English

Subjects (All):

Stochastic geometry.

Percolation (Statistical physics).

Point processes.

Tessellations (Mathematics).

Physical Description:

xiii, 232 pages : illustrations (some color) ; 24 cm.

Place of Publication:

Cham : Springer, [2025]

Summary:

"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"-- Back cover.

Contents:

1. An introduction to Russo-Seymour-Welsh theory / Laurin Köhler-Schindler and Vincent Tassion

2. Random tessellations : an overview of models / Claudia Redenbach and Christian Jung

3. Gaussian fields through geometrical properties / Anne Estrade and Julie Fournier

4. Complex Gaussian zeros and eigenvalues / Alon Nishry

5. Point processes and spatial statistics in time-frequency analysis / Barbara Pascal, Rémi Bardenet.

Notes:

Includes bibliographical references.

Other Format:

Online version:

ISBN:

9783031872631

3031872630

OCLC:

1529917610

Publisher Number:

CIPO000256220