Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaust
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Sébastien Ferenczi Joanna Kułaga-Przymus Mariusz Lemańczyk Editors
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics CIRM Jean-Morlet Chair, Fall 2016
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
More information about this series at http://www.springer.com/series/304
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Sébastien Ferenczi • Joanna Kułaga-Przymus • Mariusz Lema´nczyk Editors
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics CIRM Jean-Morlet Chair, Fall 2016
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Editors Sébastien Ferenczi CNRS UMR 7373 Institut de Mathématiques de Marseille Marseille, France
Joanna Kułaga-Przymus Faculty of Mathematics and Computer Science Nicolaus Copernicus University Toru´n, Poland
Mariusz Lema´nczyk Faculty of Mathematics and Computer Science Nicolaus Copernicus University Toru´n, Poland
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-74907-5 ISBN 978-3-319-74908-2 (eBook) https://doi.org/10.1007/978-3-319-74908-2 Library of Congress Control Number: 2018940898 Mathematics Subject Classification (2010): 37-XX, 11-XX, 5-XX, 51-XX © Springer International Publishing AG, part of Springer Nature 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword
The interaction between number theory and ergodic theory can be traced to the birth of the latte
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