Diffraction of random tilings: some rigorous results.

DOI10.1023/A:1018648707744zbMath1101.82345arXivmath-ph/9904005OpenAlexW3098749751MaRDI QIDQ1573816

Michael Baake, Moritz Höffe

Publication date: 9 August 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9904005

zbMATH Keywords

random tilingsquasicrystalsdiffraction theorystochastic point sets

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (10)

CORRELATION AND SPECTRAL PROPERTIES OF MULTIDIMENSIONAL THUE–MORSE SEQUENCES ⋮ Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures ⋮ An ultrametric state space with a dense discrete overlap distribution: paperfolding sequences ⋮ Diffraction of return time measures ⋮ Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies ⋮ SCD patterns have singular diffraction ⋮ Absence of singular continuous diffraction for discrete multi-component particle models ⋮ Diffraction of stochastic point sets: Explicitly computable examples ⋮ Diffraction theory of point processes: systems with clumping and repulsion ⋮ Diffraction and Palm measure of point processes

This page was built for publication: Diffraction of random tilings: some rigorous results.