Spectra of Sparse Non-Hermitian Random Matrices: An Analytical Solution
Spectra of Sparse Non-Hermitian Random Matrices: An Analytical Solution
We present the exact analytical expression for the spectrum of a sparse non-Hermitian random matrix ensemble, generalizing two standard results in random-matrix theory: this analytical expression constitutes a non-Hermitian version of the Kesten-McKay measure as well as a sparse realization of Girko's elliptic law. Our exact result opens new perspectives …