Coverart for item
The Resource Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors

Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors

Label
Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017
Title
Substitution and tiling dynamics
Title remainder
introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017
Statement of responsibility
Shigeki Akiyama, Pierre Arnoux, editors
Contributor
Editor
Subject
Language
eng
Summary
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
Member of
Cataloging source
YDX
Dewey number
515.39
Index
index present
LC call number
QA3
LC item number
.L28 no.2273
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Akiyama, Shigeki
  • Arnoux, P.
Series statement
  • CIRM Jean-Morlet series
  • Lecture notes in mathematics,
Series volume
volume 2273
http://library.link/vocab/subjectName
  • Tiling (Mathematics)
  • Sequences (Mathematics)
  • Aperiodicity
  • Topological dynamics
  • Aperiodicity
  • Sequences (Mathematics)
  • Tiling (Mathematics)
  • Topological dynamics
Label
Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Delone sets and dynamical systems -- Introduction to hierarchical tiling dynamical systems -- S-adic sequences : dynamics, arithmetic, and geometry -- Operators and Algebras for Aperiodic Tilings -- From games to morphisms -- The Undecidability of the Domino Problem -- Renormalisation for block substitutions -- Yet another characterization of the Pisot conjecture
Control code
1178900581
Dimensions
24 cm.
Extent
xix, 453 pages
Isbn
9783030576653
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)1178900581
Label
Substitution and tiling dynamics : introduction to self-inducing structures : CIRM Jean-Morlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Delone sets and dynamical systems -- Introduction to hierarchical tiling dynamical systems -- S-adic sequences : dynamics, arithmetic, and geometry -- Operators and Algebras for Aperiodic Tilings -- From games to morphisms -- The Undecidability of the Domino Problem -- Renormalisation for block substitutions -- Yet another characterization of the Pisot conjecture
Control code
1178900581
Dimensions
24 cm.
Extent
xix, 453 pages
Isbn
9783030576653
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)1178900581

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