We consider inhomogeneous Erdős–Rényi graphs. We suppose that the maximal mean degree d satisfies d ≪ logn. We characterise the asymptotic behaviour of the n1–o(1) largest eigenvalues of the adjacency ...

Journal of Applied Probability, Vol. 41, Stochastic Methods and Their Applications (2004), pp. 347-360 (14 pages) This paper investigates the probabilistic behaviour of the eigenvalue of the empirical ...

Abstract: This paper describes a distributed-computing-based eigenvalue algorithm for the small signal stability analysis of large-scale power transmission networks. Modern large-scale interconnected ...

M.Sc. in Applied Mathematics, Technion (Israel Institute of Technology) Ph.D. in Applied Mathematics, Caltech (California Institute of Technology) [1] A. Melman (2023): “Matrices whose eigenvalues are ...

Abstract: It was usually considered in power systems that power flow equations had multiple solutions and all the eigenvalues of Jacobian matrix at the high-voltage operable solution should have ...