A Panorama of Discrepancy Theory
Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling. Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and nu
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William Chen Anand Srivastav Giancarlo Travaglini Editors
A Panorama of Discrepancy Theory
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis (Zürich) Mario di Bernardo (Bristol) Alessio Figalli (Austin) Davar Khoshnevisan (Salt Lake City) Ioannis Kontoyiannis (Athens) Gabor Lugosi (Barcelona) Mark Podolskij (Aarhus) Sylvia Serfaty (Paris and NY) Catharina Stroppel (Bonn) Anna Wienhard (Heidelberg)
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William Chen • Anand Srivastav • Giancarlo Travaglini Editors
A Panorama of Discrepancy Theory
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Editors William Chen Department of Mathematics Macquarie University Sydney, New South Wales, Australia
Anand Srivastav Department of Computer Science Kiel University Kiel, Germany
Giancarlo Travaglini Dipartimento di Statistica e Metodi Quantitativi UniversitJa di Milano-Bicocca Milano, Italy
ISBN 978-3-319-04695-2 ISBN 978-3-319-04696-9 (eBook) DOI 10.1007/978-3-319-04696-9 Springer Cham Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2014950517 Mathematics Subject Classification (2010): 11K38, 11K06, 11J71, 11B25 11D75 11K60 65D30 65C05 11K45, 68Wxx 11P21 42A38 42B10 © Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or i
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