The complex Wishart distribution has ample applications in science and engineering. In this paper, we give explicit expressions for E(tr(Wh))g(tr(Wj))i E(tr(W−h))g(tr(W−j))i, respectively, particular values of g, h, i, j, g+h+i+j≤5, where W follows a distribution. For specific first write (tr(Wh))g(tr(Wj))i (tr(W−h))g(tr(W−j))i terms zonal polynomials then by using results on integration evalua...

We derive an approximate but explicit formula for the Mean First Passage Time of a random walker between source and target node directed weighted network. The does not require any matrix inversion, it takes as only input transition probabilities into node. It is derived from calculation average resolvent deformed ensemble sub-stochastic matrices $H=\langle H\rangle +\delta H$, with $\langle H\r...