2014/04/29 by Markus Moll
Materials Science · Mathematics · Physics and Astronomy · #Computation #Diffraction #Ergodicity #Point (geometry) #Quantum Mechanics and Non-Hermitian Physics #Quasicrystal Structures and Properties #Random variable #Spectral Theory in Mathematical Physics #Substitution (logic) #math.DS
paper · pdf · doi:10.1007/s10955-014-1047-2
17 pages, 6 figures
arxiv created 2014/04/29 · openalex publication_date 2014/07/08 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, several aspects of the random noble means substitution are studied. Beyond important dynamical facets as the frequency of subwords and the computation of the topological entropy, the important issue of ergodicity is addressed. From the geometrical point of view, we outline a suitable cut and project setting for associated point sets and present results for the spectral analysis of the diffraction measure.