The Undecidability of the Domino Problem
One of the most fundamental problems in tiling theory is to decide, given a surface, a set of tiles and a tiling rule, whether there exists a way to tile the surface using the set of tiles and following the rules. As proven by Berger (The Undecidability o
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Shigeki Akiyama Pierre Arnoux Editors
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures CIRM Jean-Morlet Chair, Fall 2017
Lecture Notes in Mathematics Volume 2273
Editors-in-Chief Jean-Michel Morel, CMLA, ENS, Cachan, France Bernard Teissier, IMJ-PRG, Paris, France Series Editors Karin Baur, University of Leeds, Leeds, UK Michel Brion, UGA, Grenoble, France Camillo De Lellis, IAS, Princeton, NJ, USA Alessio Figalli, ETH Zurich, Zurich, Switzerland Annette Huber, Albert Ludwig University, Freiburg, Germany Davar Khoshnevisan, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, University of Cambridge, Cambridge, UK Angela Kunoth, University of Cologne, Cologne, Germany Ariane Mézard, IMJ-PRG, Paris, France Mark Podolskij, University of Luxembourg, Esch-sur-Alzette, Luxembourg Sylvia Serfaty, NYU Courant, New York, NY, USA Gabriele Vezzosi, UniFI, Florence, Italy Anna Wienhard, Ruprecht Karl University, Heidelberg, Germany
More information about this series at http://www.springer.com/series/304
Shigeki Akiyama • Pierre Arnoux Editors
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures CIRM Jean-Morlet Chair, Fall 2017
Editors Shigeki Akiyama Institute of Mathematics University of Tsukuba Tsukuba, Japan
Pierre Arnoux Institut de Mathématiques de Marseille (I2M) Aix-Marseille University Marseille Cedex 09, France
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-57665-3 ISBN 978-3-030-57666-0 (eBook) https://doi.org/10.1007/978-3-030-57666-0 Jointly published with Société Mathématique de France (SMF), Paris, France Mathematics Subject Classification: 37B10, 05B45, 37B50, 68R15, 52C23 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed 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 institutio
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