vix.ing · top · new · best · stats · spec

Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity

2007/12/09 by Daniel Lenz, Lenz, Daniel
Materials Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties #X-ray Diffraction in Crystallography #math-ph #math.DS #math.MP

paper · pdf · doi:10.48550/arxiv.0712.1323

22 pages

arxiv created 2007/12/09 · openalex publication_date 2007/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an introduction into diffraction theory for aperiodic order. We focus on an approach via dynamical systems and the phenomenon of pure point diffraction. We review recent results and sketch proofs. We then present a new uniform Wiener/Wintner type result generalizing various earlier results of this type.

Related