Random Walks, Random Fields, and Disordered Systems
Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects i
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Anton Bovier · David Brydges Amin Coja-Oghlan · Dmitry Ioffe Gregory F. Lawler
Random Walks, Random Fields, and Disordered Systems Marek Biskup · Jiří Černý Roman Kotecký Editors
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus C Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Anton Bovier • David Brydges • Amin Coja-Oghlan • Dmitry Ioffe • Gregory F. Lawler
Random Walks, Random Fields, and Disordered Systems ˇ Marek Biskup • Jiˇrí Cerný • Roman Kotecký Editors
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Authors Anton Bovier Inst. for Applied Mathematics University of Bonn Bonn, Germany
David Brydges Department of Mathematics University of British Columbia Vancouver, BC, Canada
Amin Coja-Oghlan Mathematics Institute Goethe University Frankfurt, Germany
Dmitry Ioffe Fac. of Industrial Engineering & Ma Technion - Israel Institute of Technology Haifa, Israel
Gregory F. Lawler Department of Mathematics University of Chicago Chicago, IL, USA Editors Marek Biskup Department of Mathematics University of California in Los Angeles Los Angeles, CA, USA
ˇ Jiˇrí Cerný Faculty of Mathematics University of Vienna Vienna, Austria
Roman Kotecký Department of Mathematics University of Warwick Warwick, United Kingdom ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-19338-0 DOI 10.1007/978-3-319-19339-7
ISSN 1617-9692 (electronic) ISBN 978-3-319-19339-7 (eBook)
Library of Congress Control Number: 2015949243 Mathematics Subject Classification (2010): 00-02, 60-02, 60-06, 60J85, 60K35, 60K05, 82D30, 82B28, 82B41, 05D40, 82B26 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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 hav
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