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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
Martin Beaudry, François Lemieux
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The impact of aperiodic order on mathematics
Materials Science and Engineering: A, 2000Abstract Mathematics has been strongly influenced by problems arising from physics. The existence of quasicrystals as strongly ordered structures which cannot be periodic has raised various mathematical questions that have stimulated developments in the areas of discrete geometry, harmonic analysis, group theory and ergodic theory.
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Aperiodic Order for Nanophotonics
2013Nate Lawrence, Jacob Trevino, Gary Walsh
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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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Parametric optimization of an aperiodic metastructure based on genetic algorithm
International Journal of Mechanical Sciences, 2022Kun Wu, Lifeng Wang, Yuqiang Gao
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Distributed Aperiodic Control of Multibus DC Microgrids With DoS-Attack Resilience
IEEE Transactions on Smart Grid, 2022Wenchao Meng, Bo Fan, Qinmin Yang
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