The spectrum of a weighted Dirac comb on the Thue-Morse quasicrystal is investigated, and characterized up to a measure zero set, by means of the BombieriTaylor conjecture, for Bragg peaks, and of another conjecture that we call AubryGodrèche-Luck conjecture, for the singular continuous component. The decomposition of the Fourier transform of the weighted Dirac comb is obtained in terms of temp...

We propose a new deterministic evolutionary dynamic—the tempered best response dynamic (tBRD)—to capture two features of economic decision making: optimization and continuous sensitivity to incentives. That is, in the tBRD, an agent is more likely to revise his action when his current payoff is further from the optimal payoff, and he always switches to an optimal action when revising. The tBRD ...

The psychological mechanism by which even musically untutored people can comprehend novel melodies resembles that by which they comprehend sentences of their native language. The paper identifies a syntax, a semantics, and a domain or “model”. These elements are examined in application to the task of harmonic comprehension and analysis of unaccompanied melody, and a computational theory is argu...

In this work, a general definition of Convolution between two arbitrary Tempered Ultradistributions is given. When one of the Tempered Ultradistributions is rapidly decreasing this definition coincides with the definition of J. Sebastiao e Silva. The product of two arbitrary distributions of exponential type is defined via the Convolution of its corresponding Fourier Transforms. Several example...

In order to investigate the influence of SiC on composition and structure mixed slag (blast-furnace slag: steel = 1:9), chemical composition, equilibrium-phase microscopic morphological characteristics elemental distribution in region SiC-reagent-tempered samples were analyzed by X-ray diffractometer (XRD), FactSage7.1 thermodynamic analysis software, scanning electron microscope, energy spectr...