L 2 boundary decay properties of the heat kernel and spectral density. We deduce bounds on the rate of convergence of the eigenvalues when the region is slightly reduced in size. It is remarkable that several of the bounds do not involve the space dimension. AMS subject classifications: 35P99, 35P20, 47A75, 47B25 keywords: boundary decay, Laplacian, Hardy inequality, eigenfunctions, heat kernel...

Purpose: Perinatally HIV-infected youths have abnormal cerebral metabolite concentrations, but this has not been well studied. By incorporating a varying TE, 2D J-resolved spectroscopy reduces spectral crowding by pushing multiplet splittings into a second spectral dimension. Multivoxel MR Spectroscopic Imaging (MRSI) can be used to obtain spectra throughout the brain, providing better coverage...

The ear’s remarkable ability to cope with noisy signals is linked to its use of a spatio-temporal mechanism that distributes information about strong spectral components across neural units whose characteristic frequencies (CFs) often span broad frequency ranges. Speech formant information is thus carried not only by channels with CFs near spectral peaks but also by adjacent channels. This pape...

We examine the fermion propagator in quenched QED in three and four dimension using gauge covariant approximation which preserves Ward-Takahashi Identity with appropriate renormalization to smooth the threshold behaviour of the fermion self energy .Thus we avoid the infrared singurality in three dimension. The behaviour of the fermion propagator in three dimension near the threshold is then fou...

A comprehensive three-dimensional (3D) microanalysis procedure using a combined scanning electron microscope (SEM)/focused ion beam (FIB) system equipped with an energy-dispersive X-ray spectrometer (EDS) has been developed. The FIB system was used first to prepare a site-specific region for X-ray microanalysis followed by the acquisition of an electron-beam generated X-ray spectral image. A sm...

Linear predictive coding (LPC) parameters are widely used in various speech coding applications for representing the spectral envelope information of speech. Transparent quantization of the LPC parameters (average spectral distortion of 1 dB) can be achieved at 24 bits/frame using the split vector LPC quantizer (SVLPC) which quantizes 10-dimensional line spectral frequency (LSF) vectors in two ...

We consider the basilica Julia set of the polynomial P (z) = z − 1 and construct all possible resistance (Dirichlet) forms, and the corresponding Laplacians, for which the topology in the effective resistance metric coincides with the usual topology. Then we concentrate on two particular cases. One is a self-similar harmonic structure, for which the energy renormalization factor is 2, the spect...

We consider the basilica Julia set of the polynomial P (z) = z − 1 and construct all possible resistance (Dirichlet) forms, and the corresponding Laplacians, for which the topology in the effective resistance metric coincides with the usual topology. Then we concentrate on two particular cases. One is a self-similar harmonic structure, for which the energy renormalization factor is 2, the spect...

The manifolds in the ensemble of twodimensional quantum gravity have a rich structure which can be characterized in a number of different ways. In particular there are several different quantities which in the case of smooth regular manifolds take the same value and correspond to the usual notion of dimension. When computed for manifolds which are far from regular these quantities, which in fac...

This study was aimed to compare two electroencephalogram (EEG) analysis methods, spectral asymmetry index (SASI) and Higuchi's fractal dimension (HFD), for detection of depression. Linear SASI method is based on evaluation of the balance of powers in two EEG frequency bands in one channel selected higher and lower than the alpha band spectrum maximum. Nonlinear HFD method calculates fractal dim...