Directions in Mathematical Quasicrystals
Series: CRM Monograph Series;
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51 622 Ft (49 164 Ft + 5% VAT)
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Product details:
- Publisher MP?AMM American Mathematical
- Date of Publication 30 December 2000
- Number of Volumes Hardback
- ISBN 9780821826294
- Binding Hardback
- No. of pages379 pages
- Size 250x150x15 mm
- Weight 907 g
- Language English
- Illustrations bibliography 0
Categories
Short description:
Includes twelve articles that survey some of the open questions on the mathematics of aperiodic order. This book describes 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.
MoreLong description:
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 Schrodinger 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.
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