This paper studies the empirical laws of eigenvalues and singular values for random matrices drawn from the heat kernel measures on the unitary groups UN and the general linear groups GLN , for N ∈ N. It establishes the strongest known convergence results for the empirical eigenvalues in the UN case, and the first known almost sure convergence results for the eigenvalues and singular values in ...

For the Lie algebra glN we introduce a system of differential operators called the dynamical operators. We prove that the dynamical differential operators commute with the glN rational quantized Knizhnik-Zamolodchikov difference operators. We describe the transformations of the dynamical operators under the natural action of the glN Weyl group. ∗ Department of Mathematical Sciences, Indiana Uni...

Reliable positioning of cellular users in a mobile environment requires accurate resolving of overlapping multipath components. However, this task is difficult due to fast channel fading conditions and data ill-conditioning, which limit the performance of leastsquares-based techniques. This paper develops two overlapping multipath resolving methods (adaptive and nonadaptive), and shows how the ...

China is the largest developing country worldwide, with rapid economic growth and the highest population. Light pollution is an environmental factor that significantly influences the quality and health of wildlife, as well as the people of any country. The objective of this study is to model the light pollution spatial pattern, and monitor changes in trends of spatial distribution from 1992 to ...

The purpose of color constancy algorithms is to estimate the illumination color reflected from an object and then eliminate it, making the color of the object appearance identical to the object actual color. To accomplish the purpose, we have developed a color constancy algorithm which is extended from Finlayson et al’s algorithm. By combining varying illumination constraint, Planckian locus wh...

Integer carrier phase ambiguity resolution is the process of resolving unknown cycle ambiguities of doubledifferenced carrier phase data as integers, and it is a prerequisite for rapid and high-precision global navigation satellite system positioning and navigation. Besides integer estimation, integer ambiguity resolution also involves validation of the integer estimates. In this contribution a...