Results 111 to 120 of about 285 (162)
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, Volume 67, Issue 3, Page 957-976, August 2026.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
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Psychophysiology, Volume 63, Issue 8, August 2026.ABSTRACT Aperiodic neural activity (1/f EEG) has been proposed to reflect the balance between excitatory and inhibitory (E/I) inputs, with steeper spectral slopes reflecting increased inhibition and flatter slopes indicating excitation. This activity is also thought to reflect the temporal coordination of neural firing, offering insights into ...
Virginia Tronelli +7 more
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Nanophotonics, Volume 15, Issue 14, 27 July 2026.Integrated optical phased arrays are emerging as scalable engines for solid‐state beam steering and programmable wavefront control. This Review maps the field from beam‐steering principles and core building blocks to material platforms, system‐level bottlenecks, and application frontiers, highlighting how heterogeneous integration, aperiodic ...
Jingwei Li +7 more
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Nanophotonics, Volume 15, Issue 14, 27 July 2026.A diversely time‐modulated metasurface enables broadband co‐modulation of fully polarimetric radar cross section and high‐resolution range profiles. By integrating anti‐parallel PIN diodes and programmable temporal coding, the platform dynamically redistributes scattering among HH/VV and HV/VH channels, generating tunable target weakening, false ...
Hantao Xu +9 more
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Vortex Light Bullets Guided by Disclination Defects
Nanophotonics, Volume 15, Issue 14, 27 July 2026.A new class of stable and thresholdless light bullets carrying vorticity, guided by the disclination defects introduced into Su–Schrieffer–Heeger‐like lattices with a focusing cubic nonlinearity, is reported. Different discrete rotational symmetry of the aperiodic lattice determines the allowed values of the topological charge of the vortex bullets ...
Zhuo Zhang +4 more
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Fractal and Statistical Phenomena in Aperiodic Order
In this work, we study (primitive) inflation systems arising from substitutions and tiling rules, in particular their statistical properties and several fractal phenomena appearing while describing them. We provide a careful analysis of one-dimensional unimodular Pisot substitutions and show a dichotomy result for their corresponding windows in model
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Mathematics of Aperiodic Order
Progress in Mathematics, 2015Preface.- 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,
exaly +2 more sources
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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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 ...
openaire +2 more sources
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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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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Aperiodic Order and Quasicrystals: Spectral Properties
Annales Henri Poincaré, 2003Quasicrystals and other systems with aperiodic order are studied with respect to the nature of the spectrum of the associated Hamiltonians, using the framework of Delone to describe the aperiodic order. In the first part the paper is concerned with dicrete models. Delone sets with a topology and Delone dynamical systems are defined.
Lenz, Daniel, Stollmann, Peter
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