Results 121 to 130 of about 285 (162)

Aperiodic Order

2001
[no abstract available]
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Aperiodic Order in Nanoplasmonics

2013
In this chapter, we review our work on the engineering of aperiodic order for nanoplasmonics device applications. In particular, we discuss the optical response of arrays of metallic nanoparticles with Fourier spectral features that interpolate in a tunable fashion between periodic crystals and disordered random media, referred to as Deterministic ...
Luca Dal Negro, Carlo Forestiere, Nathaniel Lawrence, Sylvanus Lee, Jacob Trevino, Gary Walsh   +5 more
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Quantum dots in aperiodic order

Physica E: Low-dimensional Systems and Nanostructures, 1998
Abstract We study numerically with a Green-function technique one-dimensional arrays of quantum dots with two different models. The arrays are ordered according to the Fibonacci, the Thue–Morse, and the Rudin–Shapiro sequences. As a comparison, results from a periodically ordered chain and also from a random chain are included.
Michael Hörnquist, Thomas Ouchterlony
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Aspects of Aperiodic Order

Oberwolfach Reports
The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis and spectral theory, dynamical systems and group actions, Schrödinger operators, and their roles in aperiodic order – with links into ...
Michael Baake, María Isabel Cortez, David Damanik, Nicolae Strungaru   +3 more
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Entropy in the context of aperiodic order

2021
Entropy is a well-studied concept and the literature contains a vast amount of material on this concept in the context of actions of countable discrete amenable groups. In this thesis we extend several statements about entropy and topological pressure to the context of unimodular amenable groups.
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Aperiodic Order and Spectral Properties

2017
Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamond crystal certainly possess a high degree of order. But what is order without periodicity? In this snapshot, we are going to explore highly ordered structures that are substantially nonperiodic, or aperiodic.
Baake, Michael, Damanik, David, Grimm, Uwe   +2 more
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Aperiodic structures and notions of order and disorder

Philosophical Magazine, 2010
The fabrication of artificial heterostructures is mainly based on substitution systems. We present simple ways to construct double-sided versions of the Fibonacci, Prouhet–Thue–Morse, paperfolding, period doubling and Golay–Rudin–Shapiro sequences. We also construct a generic instance of the two-dimensional Prouhet–Thue–Morse structure and explore its ...
S.I. Ben-Abraham, A. Quandt†
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The impact of aperiodic order on mathematics

Materials Science and Engineering: A, 2000
Abstract 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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Faithful Loops for Aperiodic E-Ordered Monoids

2009
One 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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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!
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