Substitution and Tiling Dynamics: Introduction to Self-inducing Structures - CIRM Jean-Morlet Chair, Fall 2017 (Paperback, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2273
Release date:	December 2020
First published:	2020
Editors:	Shigeki Akiyama • Pierre Arnoux
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	456
Edition:	1st ed. 2020
ISBN-13:	978-3-03-057665-3
Categories:	Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration
LSN:	3-03-057665-5
Barcode:	9783030576653

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