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Quasicrystals and Discrete Geometry
 
Edited by: Jiřì Patera Centre de Recherches Mathématiques, Université de Montreal, Montreal, QC, Canada
A co-publication of the AMS and Fields Institute
Front Cover for Quasicrystals and Discrete Geometry
Available Formats:
Hardcover ISBN: 978-0-8218-0682-1
Product Code: FIM/10
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
Electronic ISBN: 978-1-4704-3137-2
Product Code: FIM/10.E
List Price: $101.00
MAA Member Price: $90.90
AMS Member Price: $80.80
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $162.00
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AMS Member Price: $129.60
Front Cover for Quasicrystals and Discrete Geometry
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  • Front Cover for Quasicrystals and Discrete Geometry
  • Back Cover for Quasicrystals and Discrete Geometry
Quasicrystals and Discrete Geometry
Edited by: Jiřì Patera Centre de Recherches Mathématiques, Université de Montreal, Montreal, QC, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-0682-1
Product Code:  FIM/10
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
Electronic ISBN:  978-1-4704-3137-2
Product Code:  FIM/10.E
List Price: $101.00
MAA Member Price: $90.90
AMS Member Price: $80.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $162.00
MAA Member Price: $145.80
AMS Member Price: $129.60
  • Book Details
     
     
    Fields Institute Monographs
    Volume: 101998; 289 pp
    MSC: Primary 20; 52; 11;

    The common topic of the eleven articles in this volume is ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This emerging field of study is found at the crossroads of algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. The volume brings together contributions by leading specialists. Important advances in understanding the foundations of this new field are presented.

    Readership

    Mathematicians, physicists, crystallographers; graduate students.

  • Table of Contents
     
     
    • Chapters
    • Similarity submodules and semigroups
    • Pisot-cyclotomic quasilattices and their symmetry semigroups
    • Three possible branches of determinate modular generalization of crystallography
    • Non-crystallographic root systems
    • Upper bounds for the lengths of bridges based on Delone sets
    • The local theorem for tilings
    • Uniform distribution and the projection method
    • One corona is enough for the Euclidean plane
    • Cut-and-project sets in locally compact Abelian groups
    • Spectrum of dynamical systems arising from Delone sets
    • Non-locality and aperiodicity of $d$-dimensional tilings
  • Request Review Copy
Volume: 101998; 289 pp
MSC: Primary 20; 52; 11;

The common topic of the eleven articles in this volume is ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This emerging field of study is found at the crossroads of algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. The volume brings together contributions by leading specialists. Important advances in understanding the foundations of this new field are presented.

Readership

Mathematicians, physicists, crystallographers; graduate students.

  • Chapters
  • Similarity submodules and semigroups
  • Pisot-cyclotomic quasilattices and their symmetry semigroups
  • Three possible branches of determinate modular generalization of crystallography
  • Non-crystallographic root systems
  • Upper bounds for the lengths of bridges based on Delone sets
  • The local theorem for tilings
  • Uniform distribution and the projection method
  • One corona is enough for the Euclidean plane
  • Cut-and-project sets in locally compact Abelian groups
  • Spectrum of dynamical systems arising from Delone sets
  • Non-locality and aperiodicity of $d$-dimensional tilings
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