Book 309

Johannes KellendonkDaniel LenzJean SavinienJune 5, 2015

BirkhäuserOriginally 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.

Publisher

Birkhäuser

Published on

Jun 5, 2015

Pages

428

ISBN

9783034809030

Features

Best For

Language

English

Genres

Mathematics / Functional Analysis

Mathematics / Geometry / Algebraic

Mathematics / Geometry / Analytic

Mathematics / Geometry / General

Mathematics / Linear & Nonlinear Programming

Mathematics / Mathematical Analysis

Mathematics / Number Theory

Mathematics / Numerical Analysis

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