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Aperiodic order and spherical diffraction, II: Translation bounded measures on homogeneous spaces [PDF]

open access: hybridMathematische Zeitschrift, 2020
We study the auto-correlation measures of invariant random point processes in the hyperbolic plane which arise from various classes of aperiodic Delone sets. More generally, we study auto-correlation measures for large classes of Delone sets in (and even
Björklund, Michael   +2 more
core   +7 more sources

Compressive behaviour of cellular structures with aperiodic order

open access: goldResults in Materials, 2022
Cellular structures are commonplace in engineering applications, such as aerospace and medical engineering, because material-air composites offer significant mechanical benefits, for example due to improved weight-to-strength ratio.
R.J. Moat   +5 more
doaj   +3 more sources

Spectral notions of aperiodic order [PDF]

open access: hybridDiscrete & Continuous Dynamical Systems - S, 2017
32 pages, with 2 figures; review-style ...
Michael Baake   +2 more
semanticscholar   +4 more sources

Aperiodicity in equilibrium systems: Between order and disorder [PDF]

open access: diamondActa Physica Polonica A, 2013
Spatial aperiodicity occurs in various models and material s. Although today the most well-known examples occur in the area of quasicrystals, other applications might also be of interest.
Aernout C. D, Van Enter
core   +4 more sources

Omnidirectional mirror based on the aperiodic and hybrid-order aperiodic-periodic chirped multilayers

open access: goldOptical Materials Express, 2023
We propose an innovative design of highly reflective omnidirectional mirror based on chirped-type aperiodic and hybrid-order aperiodic-periodic multilayered structures in the spectral range from 400 nm to 3000 nm that contains a larger part of solar radiation.
Saeid Pourmasoud   +2 more
semanticscholar   +4 more sources

WHAT IS...Aperiodic Order? [PDF]

open access: bronzeNotices of the American Mathematical Society, 2016
This article provides a brief introductory account of the theory of aperiodic order.
Michael Baake, David Damanik, Uwe Grimm
semanticscholar   +4 more sources

Aperiodic Order and Quasicrystals: Spectral Properties [PDF]

open access: bronzeAnnales Henri Poincaré, 2003
Quasicrystals and other systems with aperiodic order are studied with respect to the nature of the spectrum of the associated Hamiltonians, using the framework of Delone to describe the aperiodic order. In the first part the paper is concerned with dicrete models. Delone sets with a topology and Delone dynamical systems are defined.
Daniel Lenz, Peter Stollmann
semanticscholar   +5 more sources

Aperiodic Tilings, Order, and Randomness

open access: bronzeNotices of the American Mathematical Society, 2023
Rodrigo Treviño
semanticscholar   +3 more sources

Logical and Algebraic Characterizations of Rational Transductions [PDF]

open access: yesLogical Methods in Computer Science, 2019
Rational word languages can be defined by several equivalent means: finite state automata, rational expressions, finite congruences, or monadic second-order (MSO) logic.
Emmanuel Filiot   +2 more
doaj   +4 more sources

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