Stochastic Geometry Modern Research Frontiers
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 introduc
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David Coupier Editor
Stochastic Geometry Modern Research Frontiers
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Editors: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Cambridge Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
More information about this series at http://www.springer.com/series/304
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David Coupier Editor
Stochastic Geometry Modern Research Frontiers
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Editor David Coupier LAMAV Université Polytechnique des Hauts de France (UPHF) Valenciennes, France
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-13546-1 ISBN 978-3-030-13547-8 (eBook) https://doi.org/10.1007/978-3-030-13547-8 Mathematics Subject Classification (2010): Primary: 60 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This manuscript is the third volume of the “CEMPI subseries” common to Lecture Notes in Mathematics and Lecture Notes in Physics. Stochastic geometry can be succinctly described as the study of random spatial patterns. It is traditionally considered to have been born in the eighteenth century with the well-known Buffon’s needle problem, and it has received growing attention from the mathematical community during the second part of the twentieth century. Nowadays, stochastic geometry draws on a large variety of subdomains of mathematics such as point processes, geometric random graphs, percolation, convex geometry, random fields and spatial statistics and admits a wide range of applications. Let us cite for exam
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