Diffractive point sets with entropy

DOI10.1088/0305-4470/31/45/003zbMath0954.82009arXivmath-ph/9809002OpenAlexW3098687843MaRDI QIDQ3836095

Robert V. Moody, Michael Baake

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9809002

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

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Eberlein decomposition for PV inflation systems ⋮ CONFIGURATIONAL ENTROPY FOR STONE-INFLATION HEXAGONAL AND OCTAGONAL PATTERNS ⋮ Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures ⋮ On the entropy of a family of random substitutions ⋮ Random fields on model sets with localized dependency and their diffraction ⋮ Absence of singular continuous diffraction for discrete multi-component particle models ⋮ Diffraction of stochastic point sets: Explicitly computable examples ⋮ Pure point/continuous decomposition of translation-bounded measures and diffraction ⋮ Diffraction and Palm measure of point processes

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