| 书目名称 | Mathematics of Aperiodic Order | | 编辑 | Johannes Kellendonk,Daniel Lenz,Jean Savinien | | 视频video | | | 概述 | Presents an evolving research area in which many different mathematical theories meet.Yields a pool of interesting examples for various abstract mathematical theories.Following D. Shechtman being awar | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? .Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. .This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.. | | 出版日期 | Book 2015 | | 关键词 | Pisot substitution conjecture; aperiodic systems; dynamical systems of tilings; mathematical diffractio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0903-0 | | isbn_ebook | 978-3-0348-0903-0Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel 2015 |
The information of publication is updating
|
|
发表于 2025-3-21 17:16:33
