Progress in Mathematics

Mathematics of Aperiodic Order

Editors: Kellendonk, Johannes, Lenz, Daniel, Savinien, Jean (Eds.)

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  • Presents an evolving research area in which many different mathematical theories meet
  • Yields a pool of interesting examples for various abstract mathematical theories
  • Following D. Shechtman being awarded the 2011 Nobel Prize in chemistry for the discovery of quasicrystals, the mathematical study of periodically ordered tilings has enjoyed renewed interest
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  • ISBN 978-3-0348-0903-0
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Hardcover 124,79 €
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  • ISBN 978-3-0348-0902-3
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About this book

What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically?

Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics.

This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-0348-0903-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-0348-0902-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of Aperiodic Order
Editors
  • Johannes Kellendonk
  • Daniel Lenz
  • Jean Savinien
Series Title
Progress in Mathematics
Series Volume
309
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0903-0
DOI
10.1007/978-3-0348-0903-0
Hardcover ISBN
978-3-0348-0902-3
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XII, 428
Number of Illustrations
42 b/w illustrations, 17 illustrations in colour
Topics