Results 191 to 200 of about 49,278 (223)
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Kolakoski sequences – an example of aperiodic order
Journal of Non-Crystalline Solids, 2004Abstract (Generalized) Kolakoski sequences are built of two symbols – similar to the Fibonacci-chain – and can be constructed by a very simple rule. They are general enough to allow a richness of structures: e.g., some show pure point diffraction spectrum, others diffuse scattering.
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The role of aperiodic order in science and technology
Reports on Progress in Physics, 2005In this work we consider the role of aperiodic order in different domains of science and technology from an interdisciplinary approach. To start with, we introduce some general classification schemes for aperiodic arrangements of matter. Afterwards, we review the main physical properties and possible applications of quasiperiodic crystals.
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Optical nonlocality in aperiodically-ordered multilayered hyperbolic metamaterials
2013 IEEE Antennas and Propagation Society International Symposium (APSURSI), 2013We show that hyperbolic metamaterials implemented as multilayers based on the Thue-Morse aperiodic sequence may exhibit strong nonlocal effects manifested as the appearance of additional extraordinary waves not predicted by standard models based of the effective medium theory.
Silvio Savoia +2 more
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Problems in number theory related to aperiodic order
2021This talk concerns properties of dilated floor functions fα(x) = [αx], where α takes a fixed real value.
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Faithful Loops for Aperiodic E-Ordered Monoids
2009One of the main objectives of the algebraic theory of regular languages concerns the classification of regular languages based on Eilenberg's variety theorem [10]. This theorem states that there exists a bijection between varieties of regular languages and varieties of finite monoids. For example, the variety of star-free regular languages (the closure
François Lemieux, Martin Beaudry
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The Mathematics of Long-Range Aperiodic Order
1997Preface. Knotted Tilings C.C. Adams. Solution of the Coincidence Problem in Dimensions d smaller than or equal to 4 M. Baake. Self-Similar Tilings and Patterns Described by Mappings C. Bandt. Delone Graphs and Certain Species of Such L. Danzer, N. Dolbilin. What is the Long Range Order in the Kolakoski Sequence? F.M. Dekking.
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First-order logic and aperiodic languages
ACM SIGLOG News, 2018A 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!
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Ferroelectric order in van der Waals layered materials
Nature Reviews Materials, 2023Pankaj Sharma, Jan Seidel
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