Ankündigung Erscheint vsl. Dezember 2020 Abbildung von Akiyama / Arnoux | Substitution and Tiling Dynamics: Introduction to Self-inducing Structures | 1. Auflage | 2020 | 2273 | beck-shop.de

Akiyama / Arnoux

Substitution and Tiling Dynamics: Introduction to Self-inducing Structures

CIRM Jean-Morlet Chair, Fall 2017

Jetzt vorbestellen! Wir liefern bei Erscheinen (Erscheint vsl. Dezember 2020)

Buch. Softcover

1st ed. 2020. 2020

x, 460 S. 93 s/w-Abbildungen, 43 Farbabbildungen, 39 Farbtabellen, Bibliographien

In englischer Sprache

Springer. ISBN 978-3-030-57665-3

Format (B x L): 15,5 x 23,5 cm

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 2273

Produktbeschreibung

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.

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