The Mathematics of Long-Range Aperiodic Order by R.V. MoodyThe Mathematics of Long-Range Aperiodic Order by R.V. Moody

The Mathematics of Long-Range Aperiodic Order

EditorR.V. Moody

Paperback | December 15, 2010

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In this book devoted entirely to the mathematics of long-range aperiodic order the reader will find 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-crystallographic root systems, the cut and project method, number theoretical considerations, aperiodic Ising models and Schrödinger operators.
Title:The Mathematics of Long-Range Aperiodic OrderFormat:PaperbackDimensions:570 pages, 9.45 × 6.3 × 0.04 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148324

ISBN - 13:9789048148325

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Table of Contents

Preface. Knotted Tilings; C.C. Adams. Solution of the Coincidence Problem in Dimensions d smaller than or equal to 4; M. Baake. Self-Similar Tilings and Patterns Described by Mappings; C. Bandt. Delone Graphs and Certain Species of Such; L. Danzer, N. Dolbilin. What is the Long Range Order in the Kolakoski Sequence? F.M. Dekking. Topics in Aperiodicity: Penrose Tiling Growth and Quantum Circuits; D.P. DiVincenzo. The Diffraction Pattern of Self-Similar Tilings; F. Gähler, R. Klitzing. Pisot-Cyclotomic Integers for Quasilattices; J.-P. Gazeau. Aperiodic Ising Models; U. Grimm, M. Baake. Diffraction by Aperiodic Structures; A. Hof. Aperiodic Schrödinger Operators; T. Janssen. Symmetry Concepts for Quasicrystals and Non-Commutative Crystallography; P. Kramer, Z. Papadopolos. Local Rules for Quasiperiodic Tilings; T.T.Q. Le. Almost-Periodic Sequences and Pseudo-Random Sequences; M.M. France. The Symmetry of Crystals; N.D. Mermin. Meyer Sets and Their Duals; R.V. Moody. Non-Crystallographic Root Systems and Quasicrystals; J. Patera. Remarks on Tiling: Details of a (1+epsilon + epsilon2)-Aperiodic Set; R. Penrose. Aperiodic Tilings, Ergodic Theory, and Rotations; C. Radin. A Critique of the Projection Method; M. Senechal. Index.