Mathematics of Aperiodic Order

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kellendonk, Johannes (Editor), Lenz, Daniel (Editor), Savinien, Jean (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
• Series: Progress in Mathematics, 309
• Subjects: 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...