The Resource Substitution and tiling dynamics : introduction to selfinducing structures : CIRM JeanMorlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
Substitution and tiling dynamics : introduction to selfinducing structures : CIRM JeanMorlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
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The item Substitution and tiling dynamics : introduction to selfinducing structures : CIRM JeanMorlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 JeanMorlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic selfsimilar 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 selfsimilarity (and its generalizations, fusions rules and Sadic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings
 Language
 eng
 Extent
 xix, 453 pages
 Contents

 Delone sets and dynamical systems
 Introduction to hierarchical tiling dynamical systems
 Sadic 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
 Isbn
 9783030576653
 Label
 Substitution and tiling dynamics : introduction to selfinducing structures : CIRM JeanMorlet chair, Fall 2017
 Title
 Substitution and tiling dynamics
 Title remainder
 introduction to selfinducing structures : CIRM JeanMorlet chair, Fall 2017
 Statement of responsibility
 Shigeki Akiyama, Pierre Arnoux, editors
 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 JeanMorlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic selfsimilar 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 selfsimilarity (and its generalizations, fusions rules and Sadic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings
 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 JeanMorlet 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 selfinducing structures : CIRM JeanMorlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
 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  Sadic 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 selfinducing structures : CIRM JeanMorlet chair, Fall 2017, Shigeki Akiyama, Pierre Arnoux, editors
 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  Sadic 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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