Aperiodic order. Volume 2, Crystallography and almost periodicity / edited by Michael Baake and Uwe Grimm.

Format:

Book

Contributor:

Baake, Michael, editor.

Grimm, Uwe, editor.

Lagarias, Jeffrey C., 1949- writer of foreword.

Series:

Encyclopedia of mathematics and its applications ; 166.

Encyclopedia of mathematics and its applications ; 166

Language:

English

Subjects (All):

Aperiodicity.

Crystallography, Mathematical.

Physical Description:

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

Other Title:

Crystallography and almost periodicity

Place of Publication:

Cambridge : Cambridge University Press, 2017.

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

Other Format:

ebook version :

ISBN:

9780521869928

0521869927

OCLC:

1016269718