Prelude: Profinite Integers
We place at the beginning of this book a presentation of a subject which is part of number theory and may give the reader an intuition to follow the rest of the chapters.
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Jorge Almeida Alfredo Costa Revekka Kyriakoglou Dominique Perrin
Profinite Semigroups and Symbolic Dynamics
Lecture Notes in Mathematics Volume 2274
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
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Jorge Almeida • Alfredo Costa • Revekka Kyriakoglou • Dominique Perrin
Profinite Semigroups and Symbolic Dynamics
Jorge Almeida CMUP, Departamento de Matemática, Faculdade de Ciˆencias Universidade do Porto Porto, Portugal
Alfredo Costa CMUC, Departamento de Matemática, Faculdade de Ciˆencias e Tecnologia Universidade de Coimbra Coimbra, Portugal
Revekka Kyriakoglou LIGM Universite Gustave Eiffel Marne La Vallee Cedex 2, France
Dominique Perrin LIGM Universite Gustave Eiffel Marne La Vallee Cedex 2, France
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-55214-5 ISBN 978-3-030-55215-2 (eBook) https://doi.org/10.1007/978-3-030-55215-2 Mathematics Subject Classification: Primary: 20E18; Secondary: 37B10 © Springer Nature Switzerland AG 2020 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
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