Topological Bragg Peaks And How They Characterise Point Sets

Abstract

Bragg peaks in point set diffraction show up as eigenvalues of a dynamical system. Topological Bragg peaks arrise from topological eigenvalues and determine the torus parametrisation of the point set. We will discuss how qualitative properties of the torus parametrisation characterise the point set.

Article for the Proceedings of the ICQ12

References in corpus (2)

• Equicontinuous delone dynamical systems
• Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra

Cited by in corpus (1)

• Rokhlin dimension for flows