10 citations · 10 across the 3 of their papers we have counts for
5 papers
On a Random Matrix Models of Quantum Relaxation
J. L. Lebowitz, A. Lytova, L. Pastur
Earlier two of us (J.L. and L.P.) considered a matrix model for a two-level system interacting with a reservoir and assuming that the interaction is modelled by a rando…
On the Limiting Empirical Measure of the sum of rank one matrices with log-concave distribution
Alain Pajor, Leonid Pastur
We consider real symmetric and hermitian random matrices equals the sum of a non-random matrix matrix and the sum of rank-one matrices deter…
A New Approach for Capacity Analysis of Large Dimensional Multi-Antenna Channels
Walid Hachem, Oleksiy Khorunzhiy, Philippe Loubaton +2
This paper adresses the behaviour of the mutual information of correlated MIMO Rayleigh channels when the numbers of transmit and receive antennas converge to infinity at the same…
From Random Matrices to Quasiperiodic Jacobi Matrices via Orthogonal Polynomials
Leonid Pastur
We present an informal review of results on asymptotics of orthogonal polynomials, stressing their spectral aspects and similarity in two cases considered. They are polynomials ort…
A Simple Approach to Global Regime of the Random Matrix Theory
Leonid Pastur
We discuss a method of the asymptotic computation of moments of the normalized eigenvalue counting measure of random matrices of large order. The method is based on the resolvent i…