Topics in Percolative and Disordered Systems
This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs
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Springer Proceedings in Mathematics & Statistics
This book series features volumes composed of select contributions from workshops and conferences in all areas of current research in mathematics and statistics, including OR and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
Alejandro F. Ramírez • Gérard Ben Arous • Pablo A. Ferrari • Charles M. Newman • Vladas Sidoravicius • Maria Eulália Vares Editors
Topics in Percolative and Disordered Systems Volume 69
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Editors Alejandro F. Ramírez Facultad de Matemáticas Pontificia Universidad Católica de Chile Santiago Chile
Charles M. Newman Department of Mathematics New York University Courant Institute of Math. Sciences New York USA
Gérard Ben Arous Department of Mathematics New York University Courant Institute of Math. Sciences New York USA
Vladas Sidoravicius Instituto de Matemática Pura e Aplicada (IMPA) Rio de Janeiro Brazil
Pablo A. Ferrari Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Buenos Aires Argentina
Maria Eulália Vares Instituto de Matem´atica Universidad Federal do Rio de Janeiro Rio de Janeiro Brazil
ISSN 2194-1009 ISSN 2194-1017 (electronic) ISBN 978-1-4939-0338-2 ISBN 978-1-4939-0339-9 (eBook) DOI 10.1007/978-1-4939-0339-9 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014936179 © Springer Science+Business Media New York 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 i
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