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MM: Fachverband Metall- und Materialphysik

MM 4: Topical Session: Quasicrystals & Complex Metallic Alloys I

MM 4.3: Topical Talk

Monday, March 11, 2013, 11:00–11:30, H25

Recent advances in mathematical diffraction theory — •Uwe Grimm — Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, UK

The discovery of quasicrystals called for an extension of classical diffraction results to aperiodic systems. For cut and project sets, it was shown that the diffraction is pure point, and the locations and intensities of Bragg peaks can be calculated explicitly. More recently, rigorous and constructive approaches to the case of diffuse scattering have led to a better understanding of systems with singular continuous and absolutely continuous diffraction. This talk reviews the development of mathematical diffraction theory following the discovery of quasicrystals.