Mathematics of Aperiodic Order

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Kellendonk, Johannes (Επιμελητής έκδοσης), Lenz, Daniel (Επιμελητής έκδοσης), Savinien, Jean (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
• Σειρά: Progress in Mathematics, 309
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Convex geometry.; Discrete geometry.; Number theory.; Convex and Discrete Geometry.; Dynamical Systems and Ergodic Theory.; Operator Theory.; Number Theory.; Global Analysis and Analysis on Manifolds.

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...

Πίνακας περιεχομένων:

• 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.