Mathematics of Aperiodic Order

Mathematics of Aperiodic Order edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien.

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 quas...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Kellendonk, Johannes (Editor), Lenz, Daniel (Editor), Savinien, Jean (Editor)
Format: eBook
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Series:Progress in Mathematics, 309
Springer eBook Collection.
Subjects:
Convex geometry .
Discrete geometry.
Dynamics.
Ergodic theory.
Operator theory.
Number theory.
Global analysis (Mathematics).
Manifolds (Mathematics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Preface
  • 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures
  • 2.S. Akiyama, M. Barge, V. Berthé, J.-Y. Lee and A. Siegel: On the Pisot Substitution Conjecture
  • 3. L. Sadun: Cohomology of Hierarchical Tilings
  • 4.J. Hunton: Spaces of Projection Method Patterns and their Cohomology
  • 5.J.-B. Aujogue, M. Barge, J. Kellendonk, D. Lenz: Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets
  • 6.J. Aliste-Prieto, D. Coronel, M.I. Cortez, F. Durand and S. Petite: Linearly Repetitive Delone Sets
  • 7.N. Priebe Frank: Tilings with Infinite Local Complexity
  • 8. A.Julien, J. Kellendonk and J. Savinien: On the Noncommutative Geometry of Tilings
  • 9.D. Damanik, M. Embree and A. Gorodetski: Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals
  • 10.S. Puzynina and L.Q. Zamboni: Additive Properties of Sets and Substitutive Dynamics
  • 11.J.V. Bellissard: Delone Sets and Material Science: a Program.

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