The Parabolic Anderson Model Random Walk in Random Potential
This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools fro
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Wolfgang König
The Parabolic Anderson Model Random Walk in Random Potential
Pathways in Mathematics
Series editors T. Hibi Toyonaka, Japan W. KRonig Berlin, Germany J. Zimmer Bath, United Kingdom
Each “Pathways in Mathematics” book offers a roadmap to a currently well developing mathematical research field and is a first-hand information and inspiration for further study, aimed both at students and researchers. It is written in an educational style, i.e., in a way that is accessible for advanced undergraduate and graduate students. It also serves as an introduction to and survey of the field for researchers who want to be quickly informed about the state of the art. The point of departure is typically a bachelor/masters level background, from which the reader is expeditiously guided to the frontiers. This is achieved by focusing on ideas and concepts underlying the development of the subject while keeping technicalities to a minimum. Each volume contains an extensive annotated bibliography as well as a discussion of open problems and future research directions as recommendations for starting new projects
More information about this series at http://www.springer.com/series/15133
Wolfgang KRonig
The Parabolic Anderson Model Random Walk in Random Potential
Wolfgang KRonig Weierstraß-Institut fRur Angewandte Analysis und Stochastik Berlin, Germany Institute for Mathematics TU Berlin Berlin, Germany
ISSN 2367-3451 Pathways in Mathematics ISBN 978-3-319-33595-7 DOI 10.1007/978-3-319-33596-4
ISSN 2367-346X (electronic) ISBN 978-3-319-33596-4 (eBook)
Library of Congress Control Number: 2016940195 Mathematics Subject Classification (2010): 60-02, 60J55, 60F10, 60K35, 60K37, 82B44, 60J27, 60J65, 60J80, 60K40, 80A20, 82D30 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This Birkhäuser imprint is published by Springer Nature The registered company is Springer International Publishing AG Switz
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