We investigate the spectra of adjacency matrices multiplex networks under random matrix theory (RMT) framework. Through extensive numerical experiments, we demonstrate that upon multiplexing two networks, combined network exhibit superposition Gaussian orthogonal ensemble (GOE)s for very small strength followed by a smooth transition to GOE statistics with an increase in strength. Interestingly...

it is well known that the matrix exponential function has practical applications in engineering and applied sciences. in this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $x$-form. for instance, $e^{mathbf{a}t}$, $t^{mathbf{a}}$ and $a^{mathbf{a}t}$ will be evaluated by the new formulas in this par...