The gap ∆ = 4πf π ≃ 1.2 GeV of spontaneous chiral symmetry breaking is introduced as a scale delineating resonance and continuum regions in the QCD spectral sum rules for vector mesons. Basic current algebra results are easily recovered, and accurate sum rules for the lower moments of the spectral distributions are derived. The in-medium scaling of vector meson masses finds a straightforward in...

We numerically perform a spectral analysis of a quasi-periodically driven spin 1/2 system, the spectrum of which is Singular Continuous. We compute fractal dimensions of spectral measures and discuss their connections with the time behaviour of various dynamical quantities, such as the moments of the distribution of the wave packet. Our data suggest a close similarity between the information di...

The Hierarchical Dirichlet Process (HDP) is a versatile, albeit computationally expensive tool for statistical modeling of mixture models. In this paper, we introduce a spectral algorithm. We show that it is both computationally and statistically efficient. In particular, we derive the lower-order moments of the HDP and give reconstruction guarantees. Moreover, we show that hierarchical spectra...

This paper deals with the definition of a new function that is a link between Power Spectral Density (PSD) and correlation function, called the Fractional Spectral Moments function. This is defined as the moment of complex order γ of the one-sided PSD. It is shown that by means of this complex function both the correlation function and PSD can be represented with great accuracy.

Hyperspectral imaging (HSI) electro-optical sensors, with their hundreds of contiguous spectral bands, are a rich data source useful in a variety of applications. Numerous examples have demonstrated their potential. Understanding the characteristics of HSI data is important not only for algorithm design and assessment, but also for accurate modeling in a performance prediction context. Initial ...

Me1 frequency cepstral coefficients (MFCCs) are currently the most popular form of parameterization of the speech signal in speech recognition systems. In this paper, we look at a way to improve the extraction of these features using information about the spectral characteristics of the signal to modify filter-bank shapes. This information is captured in the form of spectral moments of the subb...

In this paper we are interested in moments of Minkowski question mark function ?(x). It appears that, to certain extent, the results are analogous to the results obtained for objects associated with Maass wave forms: period functions, L-series, distributions, spectral properties. These objects can be naturally defined for ?(x) as well. Various previous investigations of ?(x) are mainly motivate...

A combination of finite energy sum rule techniques and Chiral Perturbation Theory (χPT) is used in order to exploit recent ALEPH data on the non-strange τ vector (V ) and axial-vector (A) spectral functions with respect to an experimental determination of the χPT quantity L10. A constrained fit of R (k,l) τ,V−A inverse moments (l < 0) and positive spectral moments (l ≥ 0) adjusts simultaneously...

In Finnish, coarticulatory effects of vowels readily appear in the production of the fricative /s/(S). In this developmental study, spectral moments analysis was used to compare young children’s productions of S in symmetrical vowel (V) contexts (e.g. /iSi, uSu, ySy, ɑSɑ/) with similar adult productions. The subjects were children in three age groups while adult speakers served as control group...

Quark mass corrections to the τ hadronic width play a significant role only for the strange quark, hence providing a method for determining its mass. The experimental input is the vector plus axial-vector strange spectral function derived from a complete study of tau decays into strange hadronic final states performed by ALEPH. New results on strange decay modes from other experiments are also ...