The null hypothesis that the three dimensional power spectrum measured from the APM Survey is consistent with the one dimensional power spectrum measured from the pencil beams surveys of Broadhurst et al. and of Szalay et al. is tested. The external estimates of the mean power that we make are sensitive to details of the model for the survey geometry and to the assumed level of the distortion o...

Inelastic quasiparticle lifetime due to the electron-electron interaction (outscattering time in the kinetic equation formalism) is calculated for finite metallic diffusive systems (quantum dots) in the whole range of parameters. Both cases of “continuous” (the inelastic level broadening much exceeds the mean level spacing) and “discrete” spectrum are analyzed. In particular, crossover between ...

This paper presents a weighted multi-distribution deep belief network (wMD-DBN) for context-dependent statistical parametric speech synthesis. We have previously proposed the use of MD-DBN for speech synthesis, which models simultaneously both spectrum and fundamental frequency (F0), and has demonstrated the potential to generate high-dimensional spectra with high quality and to produce natural...

The scaling behavior of the Lyapunov spectrum of a chaotic shell model for three-dimensional turbulence is studied in detail. First, we characterize the localization property of the Lyapunov vectors in wave-number space by using numerical results. By combining this localization property with Kolmogorov’s dimensional argument, we deduce explicitly the asymptotic scaling law for the Lyapunov spec...

We prove, under some generic assumptions, that the semiclassical spectrum modulo O(~) of a one dimensional pseudodifferential operator completely determines the symplectic geometry of the underlying classical system. In particular, the spectrum determines the hamiltonian dynamics of the principal symbol.

We study the spectrum of a one-dimensional Schrödinger operator perturbed by a fast oscillating potential. The oscillation period is a small parameter. The essential spectrum is found in an explicit form. The existence and multiplicity of the discrete spectrum are studied. The complete asymptotics expansions for the eigenvalues and the associated eigenfunctions are constructed.

In the present paper, the authors consider the Schrödinger operator H with the Coulomb potential defined in R3m, where m is a positive integer. Both bounded domain approximations to multielectron systems and finite element approximations to the helium system are analyzed. The spectrum of H becomes completely discrete when confined to bounded domains. The error estimate of the bounded domain app...

We report the infrared operation of a two-dimensional photonic crystal waveguide fabricated in silicon. Measurements of the transmission spectrum reveal a large transmission bandwidth within the 3.1-5.5-microm bulk-crystal photonic bandgap and a rich resonance structure. The calculated transmission spectrum for this structure is in good agreement with the measured spectrum and predicts a 10% si...

OBJECTIVES To test the hypothesis that the premorbid overactivity previously described in subjects with fibromyalgia is a core feature of the manic/hypomanic symptoms characterising bipolar spectrum disorders. METHODS 110 consecutive patients with fibromyalgia were assessed for bipolar spectrum disorders using both categorical and dimensional approaches. The first was based on a version of th...