We review the recently developed method for spectral analysis of growing graphs on the basis of quantum (or noncommutative or algebraic) probability theory. The asymptotic spectral distribution of a growing regular graph is derived from the quantum central limit theorem for quantum components of the adjacency matrix. Mathematics Subject Classifications (2000): Primary 46L53; Secondary 05C50, 42...

Hyperspectral imaging is a promising non-invasive method for applications in conservation of painting. With its ability to capture both spatial and spectral information which relates to physical characteristics of materials, the identification of pigments and its spatial distribution across the painting is now possible. In this work, The Scream (1893) by Edvard Munch is acquired using a hypersp...

An imaging mass spectrometer is an analytical instrument that can determine the spatial distribution of chemical compounds on complex surfaces. The output of the device is a multi-spectral datacube; a three-dimensional (3D) dataset in which the xy-dimension represents the surface position and the z-dimension represents the mass spectral distribution. Analysts try to discover correlations in spe...

The Bayesian inference approach to the inverse problem of spectral signal recovery has been extended to mixtures of Gaussian probability distributions of a training dataset in order to increase the efficiency of estimating the spectral signal from the response of a transformation system. Bayesian (BIC) and Akaike (AIC) information criteria were assessed in order to provide the Gaussian mixture ...

He, Ying Ph.D., Purdue University, December 2013. Efficient Spectral-Element Methods for Acoustic Scattering and Related Problems. Major Professor: Jie Shen . This dissertation focuses on the development of high-order numerical methods for acoustic and electromagnetic scattering problems, and nonlinear fluid-structure interaction problems. For the scattering problems, two cases are considered: ...

Collecting information on suspended sediments concentration (SSC) in coastal waters and estuaries is vital for proper management of coastal environments. Traditionally, SSC used to be measured by time consuming and costly point measurements. This method allows the accurate measurement of SSC only for a point in space and time. Remote sensing from air-borne and space-borne sensors have proved to...

Infrared broad-band photometry of the cool brown dwarf Gliese 229B extending in wavelength from 0.8 to 10.5 m is reported. These results are derived from both new data and reanalyzed, previously published data. Existing spectral data reported have been rereduced and recalibrated. The close proximity of the bright Gliese 229A to the dim Gliese 229B required the use of special techniques for the ...