We compute the asymptotical growth rate of a large family of Uq.sl2/ 6j –symbols and we interpret our results in geometric terms by relating them to volumes of hyperbolic truncated tetrahedra. We address a question which is strictly related with S Gukov’s generalized volume conjecture and deals with the case of hyperbolic links in connected sums of S S . We answer this question for the infinite...

PURPOSE Although many models have been proposed to interpret non-Gaussian diffusion MRI data in biological tissues, it is often difficult to see the correlation between the MRI data and the histological changes in the tissue. Among these models, so called statistical models, which assume the diffusion coefficient D is distributed continuously within a voxel, are more suitable for interpreting t...

The mean on-axis far-field (or focal-plane) irradiance of a Gaussian beam that is truncated by a circular aperture in the presence of atmospheric turbulence is considered. In the absence of turbulence, an accurate analytic approximation for the irradiance distribution that is valid within the main central lobe of the beam is presented. Based on this approximation, the mean on-axis far-field irr...

A face recognition algorithm based on doubly truncated multivariate Gaussian mixture model with DCT is introduced. The truncation on the feature vector with a significant influence on improving the recognition rate of the system using EM algorithm with K-means or hierarchical clustering is implemented. The characteristic model parameters are estimated. The EM algorithm containing the updated eq...

The simulation of random velocity and pressure signals at un-instrumented locations of a structure conditioned on measured records is often needed in wind engineering. Malfunctioning equipment may leave a hole in a wind data set or information may be lacking due to a limited number of instruments or difficulty in monitoring at certain locations. This paper presents a non-Gaussian conditional si...

The traditional approach to random vibration testing using fast-Fourier-transform simulation has become out-of-date, since it is restricted to consideration of the power spectral density only. The latter means that the FFT approach is based on a Gaussian random signal model. However, the MIL-STD810F standard establishes that “care must be taken to examine field-measured probability density for ...

Problem of simulation of multivariate Lévy processes is investigated. The method based on shot noise series expansions of such processes combined with Gaussian approximation of the remainder is established in full generality. Formulas that can be used for simulation of tempered stable, operator stable and other multivariate processes are obtained. Key-words: Lévy processes, Gaussian approximati...

A simple method is presented for the rapid simulation of statistically-isotropic non-Gaussian maps of CMB temperature fluctuations with a given power spectrum and analyticallycalculable bispectrum and higher-order polyspectra. The nth-order correlators of the pixel values may also be calculated analytically. The cumulants of the simulated map may be used to obtain an expression for the probabil...

The problem of simulation of multivariate Lévy processes is investigated. A method based on generalized shot noise series representations of Lévy processes combined with Gaussian approximation of the remainder is established in full generality. This method is applied to multivariate stable and tempered stable processes and formulas for their approximate simulation are obtained. Key-words: Lévy ...

Mathematical justifications are given for a simulation technique of multivariate nonGaussian random processes and fields based on Rosenblatt’s transformation of Gaussian processes. Different types of convergences are given for the approaching sequence. Moreover an original numerical method is proposed in order to solve the functional equation yielding the underlying Gaussian process autocorrela...