This volume includes twelve solicited articles which survey the current state of knowledge and some of the open questions on the mathematics of aperiodic order. A number of the articles deal with the sophisticated mathematical ideas that are being developed from physical motivations. Many prominent mathematical aspects of the subject are presented, including the geometry of aperiodic point sets and their diffractive properties, self-affine tilings, the role of $C^•$-algebras in tiling theory, and the interconnections between symmetry and aperiodic point sets. Also discussed are the question of pure point diffraction of general model sets, the arithmetic of shelling icosahedral quasicrystals, and the study of self-similar measures on model sets. From the physical perspective, articles reflect approaches to the mathematics of quasicrystal growth and the Wulff shape, recent results on the spectral nature of aperiodic Schrödinger operators with implications to transport theory, the characterization of spectra through gap-labeling, and the mathematics of planar dimer models. A selective bibliography with comments is also provided to assist the reader in getting an overview of the field. The book will serve as a comprehensive guide and an inspiration to those interested in learning more about this intriguing subject.

Baake, Michael; Moody, R. V., 1941-

Michael Baake and Robert V. Moody

Providence, R.I.: American Mathematical Society

CRM monograph series, v. 13, Providence, R.I, ©2000

United States, United States of America

Providence (R.I.), Unknown, 2000

January 2001

Библиогр. в конце ст.
Указ.

РГБ

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Michael Baake, Robert V. Moody, Editors. Includes Bibliographical References And Index.

viii, 379 p. : 27 cm
Includes bibliographical references and index

2023-06-28