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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,
J. Kellendonk, D. Lenz, J. Savinien
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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   +5 more
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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.
B. Sing
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The Mathematics of Long-Range Aperiodic Order

1997
Preface. 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.
R. Moody
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The Novel Method of Magnetic Anomaly Recognition Based on the Fourth Order Aperiodic Stochastic Resonance

IEEE Sensors Journal, 2022
In the background of strong interference noise, it is one of the crucial technologies of magnetic anomaly detection system to effectively detect and identify weak magnetic anomaly signals (MAS) gene- rated by targets.
Tao Qin   +3 more
semanticscholar   +1 more source

Aspects of Aperiodic Order

2023
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 ...
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Aperiodic Stochastic Resonance in the Fractional-Order Bistable System

Fluctuation and Noise Letters, 2020
The aperiodic stochastic resonance (ASR) in the bistable fractional-order system is further studied when the fractional-order lies in the interval (0, 2). In previous works, the ASR can only process aperiodic binary signal with large pulse width. However,
Chengjin Wu, Qing Jiao, F. Tian
semanticscholar   +1 more source

On the Aperiodic Signal Amplification by Rescaled Vibrational Resonance in Fractional-Order Duffing Oscillators

, 2020
In the former works of Yang et al., they put forward two vibrational resonance (VR) methods in fractional Duffing oscillators to amplify the weak harmonic character signal with arbitrary high-frequency.
Pengxiang Jia, Y. Leng, Jianhua Yang
semanticscholar   +1 more source

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