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Mathematics of Aperiodic Order
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...
| Cote: | Libro Electrónico |
|---|---|
| Collectivité auteur: | |
| Autres auteurs: | , , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2015.
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| Édition: | 1st ed. 2015. |
| Collection: | Progress in Mathematics,
309 |
| Sujets: | |
| Accès en ligne: | Texto Completo |
Table des matières:
- 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.