<電子ブック>
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures : CIRM Jean-Morlet Chair, Fall 2017 / edited by Shigeki Akiyama, Pierre Arnoux
(Lecture Notes in Mathematics. ISSN:16179692 ; 2273)
版 | 1st ed. 2020. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2020 |
本文言語 | 英語 |
大きさ | XIX, 456 p. 144 illus., 51 illus. in color : online resource |
著者標目 | Akiyama, Shigeki editor Arnoux, Pierre editor SpringerLink (Online service) |
件 名 | LCSH:Dynamical systems LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied LCSH:Computer science LCSH:Convex geometry LCSH:Discrete geometry FREE:Dynamical Systems FREE:Multibody Systems and Mechanical Vibrations FREE:Computer Science FREE:Convex and Discrete Geometry |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-57666-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783030576660 |
|
電子リソース |
|
EB00236198 |