Weakly Wandering Sequences in Ergodic Theory
The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic
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Stanley Eigen Arshag Hajian Yuji Ito Vidhu Prasad
Weakly Wandering Sequences in Ergodic Theory
Springer Monographs in Mathematics
More information about this series at http://www.springer.com/series/3733
Stanley Eigen • Arshag Hajian • Yuji Ito Vidhu Prasad
Weakly Wandering Sequences in Ergodic Theory
123
Stanley Eigen Department of Mathematics Northeastern University Boston, MA, USA
Arshag Hajian Department of Mathematics Northeastern University Boston, MA, USA
Yuji Ito (emeritus) Department of Mathematics Keio University Yokohama, Japan
Vidhu Prasad Department of Mathematical Sciences University of Massachusetts Lowell Lowell, MA, USA
ISSN 1439-7382 ISSN 2196-9922 (electronic) ISBN 978-4-431-55107-2 ISBN 978-4-431-55108-9 (eBook) DOI 10.1007/978-4-431-55108-9 Springer Tokyo Heidelberg New York Dordrecht London Library of Congress Control Number: 2014944073 Mathematics Subject Classification (2010): 37A40, 37A45, 28D05, 11B13, 11B05 © Springer Japan 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 implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
This monograph is dedicated to Professor Shizuo Kakutani 1911–2004
Foreword
Weakly wandering (ww) sets made their first appearance over 50 years ago in [23, 39] (see also [32, 40]). The late Professor Shizuo Kakutani of Yale University was instrumen
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