Recent progress in mathematical diffraction

Abstract

A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the literature for further details.

5 pages, 3 figures. Tutorial talk at ICQ12

References in corpus (6)

• Can Kinematic Diffraction Distinguish Order from Disorder?
• Dynamical versus diffraction spectrum for structures with finite local complexity
• Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
• The singular continuous diffraction measure of the Thue-Morse chain
• Scaling of the Thue-Morse diffraction measure
• The inverse problem of pure point diffraction -- examples and open questions