Overview

Devoted entirely to the mathematics of long-range aperiodic order, this work presents survey and research articles on the major areas of mathematics and mathematical physics that are emerging in this new field, including tilings, discrete geometry, diffraction and harmonic analysis, self-similarity and symmetry, non-crystalllographic root systems, the cut and project method, number theoretical considerations, aperiodic Ising models and Schrodinger operators.

Full Product Details

Author:   R.V. Moody
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   489
Dimensions:   Width: 15.60cm , Height: 3.10cm , Length: 23.40cm
Weight:   2.160kg
ISBN:  

9780792345060

ISBN 10:   0792345061
Pages:   556
Publication Date:   31 March 1997
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Knotted Tilings.- Solution of the Coincidence Problem in Dimensions d ? 4.- Self-Similar Tilings and Patterns Described by Mappings.- Delone Graphs; Some Species and Local Rules.- What is the Long Range Order in the Kolakoski Sequence?.- Topics in Aperiodicity: Penrose Tiling Growth and Quantum Circuits.- The Diffraction Pattern of Self-Similar Tilings.- Pisot-Cyclotomic Integers for Quasilattices.- Aperiodic Ising Models.- Diffraction by Aperiodic Structures.- Aperiodic Schrödinger Operators.- Symmetry Concepts for Quasicrystals and Non-commutative Crystallography.- Local Rules for Quasiperiodic Tilings.- Almost-Periodic Sequences and Pseudo-Random Sequences.- The Symmetry of Crystals.- Meyer Sets and Their Duals.- Non-crystallographic Root Systems and Quasicrystals.- Remarks on Tiling: Details of a (1 + ? + ?2)-Aperiodic Set.- Aperiodic Tilings, Ergodic Theory, and Rotations.- A Critique of the Projection Method.

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