This paper explores a novel idea for power equipment monitoring and finds that random
matrix theory is suitable for modeling the massive data sets in this situation. Big data …

We consider the fluctuations of linear eigenvalue statistics of random band n * nn× n
matrices whose entries have the form M _ ij= b^-1/2 u^ 1/2 (| ij|/b) ̃ w _ ij M ij= b-1/2 u 1/2 …

We prove a new central limit theorem (CLT) for the difference of linear eigenvalue statistics
of a Wigner random matrix and its minor and find that the fluctuation is much smaller than the …

The fault characteristics of ultra-high voltage (UHV) half-wavelength (HWL) transmission
lines exhibit significant differences from those of conventional transmission lines, which …

We show that matrix elements of functions of N*N Wigner matrices fluctuate on a scale of
order N^-1/2 and we identify the limiting fluctuation. Our result holds for any function f of the …

Let $ p_n (x) $ be a random polynomial of degree $ n $ and $\{Z^{(n)} _j\} _ {j= 1}^ n $ and
$\{X^{n, k} _j\} _ {j= 1}^{nk}, k< n $, be the zeros of $ p_n $ and $ p_n^{(k)} $, the $ k $ th …

Let $ p_n (x) $ be a random polynomial of degree $ n $ and ${Z^{(n)} _j} _ {j= 1}^ n $ and
${X^{n, k} _j} _ {j= 1}^{nk}, k< n $, be the zeros of $ p_n $ and $ p_n^{(k)} $, the $ k $ th …