Substitution and Tiling Dynamics: CIRM Jean-Morlet Chair, Fall 2017 (1st ed. 2020) (Lecture Notes in Mathematics #2273)

By: Shigeki Akiyama and Pierre Arnoux

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Synopsis: 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.

Book Quality:: Publisher Quality
ISBN-13:: 9783030576660
Related ISBNs:: 9783030576653
Publisher:: Springer International Publishing
Date of Addition:: 01/09/21
Copyrighted By:: Springer
Adult content:: No
Language:: English
Has Image Descriptions:: No
Categories:: Nonfiction, Computers and Internet, Technology, Mathematics and Statistics
Submitted By:: Bookshare Staff
Usage Restrictions:: This is a copyrighted book.
Edited by:: Shigeki Akiyama
Edited by:: Pierre Arnoux