Aperiodic order

by Baake, Michael Grimm, Uwe Lagarias, Jeffrey C

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Title Statements

Full title :Aperiodic order. / edited by Michael Baake and Uwe Grimm.

Summary

Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Laureate in Chemistry 2011. The mathematics that underlies this discovery or was stimulated by it, which is known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts in the field, among them Robert V. Moody, introduce and review important aspects of this rapidly-expanding field. The volume covers various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis, which is one of the main tools available to characterise such structures. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals from the point of view of physical sciences, written by Peter Kramer, one of the founders of the field on the side of theoretical and mathematical physics. -- from back cover.

Edition Statements

Publication Date:2017.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2017.

The Physical Object

Description:xx, 386 pages : : illustrations (black and white) ; : 24 cm

Edition Identifiers

ISBN:9780521869928, 0521869927
oclc:on1028972859
LC Classification:QA640.72.B33 2017
Dewey Decimal:548.7

Foreword / Jeffrey C. Lagarias -- Preface -- Chapter 1. More inflation tilings / Dirk Frettlöh -- Chapter 2. Discrete tomography of model sets: Reconstruction and uniqueness / Uew Grimm, Peter Gritzmann and Christian Huck -- Chapter 3. Geometric enumeration problems for lattices and embedded Z-modules / Michael Baake and Peter Zeiner -- Chapter 4. Almost periodic measures and their fourier transforms / Robert V. Moody and Nicolae Strungaru -- Chapter 5. Almost periodic pure point measures / Nicolae Strungaru -- Chapter 6. Averaging almost periodic functions along exponential sequences / Michael Baake, Alan Haynes and Daniel Lenz -- Epilogue. Gateways towards quasicrystals / Peter Kramer.