Results 1 to 10 of about 10,141,921 (243)
Spectral notions of aperiodic order [PDF]
Discrete & Continuous Dynamical Systems - S, 2017 32 pages, with 2 figures; review-style ...
Baake, Michael, Lenz, Daneil
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Edge modes of scattering chains with aperiodic order [PDF]
Optics Letters, 2018 4 pages, 4 ...
Wang, Ren +5 more
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WHAT IS...Aperiodic Order? [PDF]
Notices of the American Mathematical Society, 2016 This article provides a brief introductory account of the theory of aperiodic order.
Baake, Michael +2 more
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Optical 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.
Pourmasoud S., Falcone P., Moretti L.
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Aperiodic order and spectral properties
, 2015 11 pages, 9 ...
Baake, Michael +2 more
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Aperiodic Tilings, Order, and Randomness
Notices of the American Mathematical Society, 2023 Rodrigo Treviño
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Aperiodic order and pure point diffraction [PDF]
Philosophical Magazine, 2008 We give a leisurely introduction into mathematical diffraction theory with a focus on pure point diffraction. In particular, we discuss various characterisations of pure point diffraction and common models arising from cut and project schemes. We finish with a list of open problems.
Daniel Lenz
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First-order logic and aperiodic languages
ACM SIGLOG News, 2018 A fundamental result about formal languages states: Theorem 1 A regular language is first-order definable if and only if its syntactic monoid contains no nontrivial groups. Rest assured, we will explain in the next section exactly what the various terms in the statement mean!
Howard Straubing
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Quasicrystals, aperiodic order, and groupoid von Neumann algebras
Comptes Rendus. Mathématique, 2002 We introduce tight binding operators for quasicrystals that are parametrized by Delone sets. These operators can be regarded in a natural operator algebra framework that encodes the long range aperiodic order. This algebraic point of view allows us to study spectral theoretic properties.
Lenz, Daniel, Stollmann, Peter
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Aperiodic order and spherical diffraction, III: The shadow transform and the diffraction formula [PDF]
Journal of Functional Analysis, 2020 We define spherical diffraction measures for a wide class of weighted point sets in commutative spaces, i.e. proper homogeneous spaces associated with Gelfand pairs.
Michael Björklund +2 more
semanticscholar +1 more source