Substitution and Tiling Dynamics: Introduction to Self-inducing Structures: CIRM Jean-Morlet Chair, Fall 2017 / edited by Shigeki Akiyama, Pierre Arnoux.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Substitution and Tiling Dynamics: Introduction to Self-inducing Structures: CIRM Jean-Morlet Chair, Fall 2017 / edited by Shigeki Akiyama, Pierre Arnoux.

1st ed. 2020.

3030576663
9783030576660
3030576655
9783030576653

Cham : Springer International Publishing : Imprint: Springer, 2020.

English

1 online resource (XIX, 456 pages 144 illus., 51 illus. in color.).

10.1007/978-3-030-57666-0 doi

QA313

515.39
515.48

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.

Access limited to authorized users.

Lecture Notes in Mathematics ; 2273. 0075-8434

Print version: 9783030576653

Online Resources > Ebooks
All Resources