In and Out of Equilibrium 2
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Series Editors Charles Newman Sidney I. Resnick
In and Out of Equilibrium 2 Vladas Sidoravicius Maria Eulália Vares Editors
Birkhäuser Basel · Boston · Berlin
Editors: Vladas Sidoravicius Instituto de Matemática Pura e Aplicada (IMPA) Estrada Dona Castorina, 110 Jardim Botanico CEP 22460-320 Rio de Janeiro, RJ Brasil e-mail: [email protected]
Maria Eulália Vares Centro Brasileiro de Pesquisas Físicas Rua Dr. Xavier Sigaud, 150 Urca 22290-180 Rio de Janeiro, RJ Brasil e-mail: [email protected]
2000 Mathematics Subject Classification: 03D10, 14Q99, 20K01, 32G15,37A50, 82BXX, 82CXX, 86A10, 90B22, 96A17, 60FXX, 60GXX, 60H99, 60JXX, 60KXX, 62GXX, 62MXX, 62P12
Library of Congress Control Number: 2008927086 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de
ISBN 978-3-7643-8785-3 Birkhäuser Verlag AG, Basel · Boston · Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Cover picture: Courtesy Tati Howell Printed on acid-free paper produced from chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8785-3
e-ISBN 978-3-7643-8786-0
987654321
www.birkhauser.ch
Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
ix
M. Abadi Poisson Approximations via Chen-Stein for Non-Markov Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
E.D. Andjel and M. Sued An Inequality for Oriented 2-D Percolation . . . . . . . . . . . . . . . . . . . . . . . . . .
21
V. Beffara Is Critical 2D Percolation Universal? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
31
G. Ben Arous, V. Gayrard and A. Kuptsov A New REM Conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
59
I. Benjamini, O. Gurel-Gurevich and R. Izkovsky The Biham-Middleton-Levine Traffic Model for a Single Junction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
97
J. van den Berg, R. Brouwer and B. V´ Vagvolgyi ¨ Box-Crossings and Continuity Results for Self-Destructive Percolation in the Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 N. Berger and O. Zeitouni A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 J. Bertoi
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