Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017

di Springer International Publishing
Stato: Nuovo
28,01 €
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Springer International Publishing Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017
Springer International Publishing - Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017

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Descrizione

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.

Ulteriori informazioni

Illustrations Note:
XIX, 456 p. 144 illus., 51 illus. in color.
Indice:
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.
Editore:
Akiyama, Shigeki;Akiyama
Arnoux, Pierre;Arnoux
Commenti:
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

Tipo multimediale:
Copertina morbida
Editore:
Springer International Publishing
Lingua:
Inglese
Edizione:
1st ed. 2020
Numero di Pagine:
456
Co-editore:
Société Mathématique de France

Dati Principali

Tipologia prodotto:
Brossura
Data di pubblicazione:
6 dicembre 2020
Dimensioni del collo:
0.235 x 0.155 x 0.028 m;
GTIN:
09783030576653
DUIN:
332QHMT4VF7
28,01 €
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