Results 191 to 200 of about 51,902 (232)

Aperiodic Order

2013
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area
Michael Baake, Uwe Grimm
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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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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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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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Phonons in aperiodically ordered layer systems

Surface Science, 2008
Abstract We have studied the phonons in multilayer structures following different aperiodic sequences (Fibonacci, Thue–Morse, Period-Doubling) along the growth direction. We have employed a nearest-neighbor force constant model giving a reasonably realistic description of metal systems.
A. Montalbán, V.R. Velasco, F.J. Fernández-Velicia, J. Tutor   +3 more
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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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Mathematics of Aperiodic Order

2015
Preface.- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures.- 2.S. Akiyama, M. Barge, V. Berthe, J.-Y. Lee and A. Siegel: On the Pisot Substitution Conjecture.- 3. L. Sadun: Cohomology of Hierarchical Tilings.- 4.J. Hunton: Spaces of Projection Method Patterns and their Cohomology.- 5.J.-B. Aujogue, M. Barge,
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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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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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Kolakoski sequences – an example of aperiodic order

Journal of Non-Crystalline Solids, 2004
Abstract (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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