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Lecture Notes in Mathematics CIRM Jean-Morlet Chair Subseries
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Substitution and Tiling Dynamics: Introduction to Self-inducing Structures

CIRM Jean-Morlet Chair, Fall 2017

Editors: Akiyama, Shigeki, Arnoux, Pierre (Eds.)

  • Features beautifully illustrated lectures on self-inducing structures with cutting-edge results related to substitutions and tilings
  • Provides an easy introduction to S-adic systems and self-affine tilings
  • Includes chapters on games and undecidability questions and  on the spectrum of substitution tilings
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eBook 42,79 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 3, 2021
  • ISBN 978-3-030-57666-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
About this book

This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program.
Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between  the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions  on  recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and  the spectrum of substitution tilings.

Buy this book

eBook 42,79 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 3, 2021
  • ISBN 978-3-030-57666-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
Book Subtitle
CIRM Jean-Morlet Chair, Fall 2017
Editors
  • Shigeki Akiyama
  • Pierre Arnoux
Series Title
Lecture Notes in Mathematics
Series Volume
2273
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-57666-0
DOI
10.1007/978-3-030-57666-0
Softcover ISBN
978-3-030-57665-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIX, 456
Number of Illustrations
94 b/w illustrations, 50 illustrations in colour
Additional Information
Jointly published with Société Mathématique de France (SMF), Paris, France
Topics