In ‎the present ‎paper, ‎we ‎introduce the ‎two-wavelet ‎localization ‎operator ‎for ‎the square ‎integrable ‎representation ‎of a‎ ‎homogeneous space‎ with respect to a relatively invariant measure. ‎We show that it is a bounded linear operator. We investigate ‎some ‎properties ‎of the ‎two-wavelet ‎localization ‎operator ‎and ‎show ‎that ‎it ‎is a‎ ‎compact ‎operator ‎and is ‎contained ‎in‎ a...

We address the question of how to precisely identify correlated behavior between different firms in the economy by applying methods of random matrix theory (RMT). Specifically, we use methods of random matrix theory to analyze the cross-correlation matrix C of price changes of the largest 1000 US stocks for the 2-year period 1994–1995. We find that the statistics of most of the eigenvalues in t...

in this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. furthermore, we obtain the zeros of eigenfunctions.

for a simple digraph $g$ of order $n$ with vertex set${v_1,v_2,ldots, v_n}$, let $d_i^+$ and $d_i^-$ denote theout-degree and in-degree of a vertex $v_i$ in $g$, respectively. let$d^+(g)=diag(d_1^+,d_2^+,ldots,d_n^+)$ and$d^-(g)=diag(d_1^-,d_2^-,ldots,d_n^-)$. in this paper we introduce$widetilde{sl}(g)=widetilde{d}(g)-s(g)$ to be a new kind of skewlaplacian matrix of $g$, where $widetilde{d}(g...

In the context of ridge regression, the estimation of ridge (shrinkage) parameter plays an important role in analyzing data. Many efforts have been put to develop skills and methods of computing shrinkage estimators for different full-parametric ridge regression approaches, using eigenvalues. However, the estimation of shrinkage parameter is neglected for semiparametric regression models. The m...

Let $S(G)$ be the Seidel matrix of a graph $G$ of order $n$ and let $D_S(G)=diag(n-1-2d_1, n-1-2d_2,ldots, n-1-2d_n)$ be the diagonal matrix with $d_i$ denoting the degree of a vertex $v_i$ in $G$. The Seidel Laplacian matrix of $G$ is defined as $SL(G)=D_S(G)-S(G)$ and the Seidel signless Laplacian matrix as $SL^+(G)=D_S(G)+S(G)$. The Seidel signless Laplacian energy $E_{SL^+...

agrobacterium tumefaciens is capable of gene transfer to both plant and non-plant organisms. indeed, upon infection of eukaryotic cells, agrobacterium tumefaciens transfers a piece of its tumor inducing (ti)-plasmid, called t-dna, to the host cell nucleus, which subsequently integrates into the host genome. the vird2 virulence protein which has relaxase endonuclease activities covalently binds ...

background: previous studies have shown that interaural-time-difference (itd) training can improve localization ability. surprisingly little is, however, known about localization training vis-à-vis speech perception in noise based on interaural time difference in the envelope (itd env). we sought to investigate the reliability of an itd env-based training program in speech-in-noise perception a...

It is common knowledge that any two rms in the economy are correlated. Even rms belonging to di erent sectors of an industry may be correlated because of “indirect” correlations. How can we analyze and understand these correlations? This article reviews recent results regarding cross-correlations between stocks. Speci cally, we use methods of random matrix theory (RMT), which originated from th...

We report on recent results on the spectral statistics of the discrete Anderson model in the localized phase obtained in [6]. In particular, we describe the • locally uniform Poisson behavior of the rescaled eigenvalues, • independence of the Poisson processes obtained as such limits at distinct energies, • locally uniform Poisson behavior of the joint distributions of the rescaled energies and...