30 citations · 40 across the 6 of their papers we have counts for
4 papers · 1 filter
Janossy densities for Unitary ensembles at the spectral edge
Brian Rider, Xin Zhou
For a broad class of unitary ensembles of random matrices we demonstrate the universal nature of the Janossy densities of eigenvalues near the spectral edge, providing a different…
Shape of the ground state energy density of Hill's equation with nice Gaussian potential
Jose A. Ramirez, Brian Rider
Consider Hill's operator Q = -D^2 + q(x) in which the potential q(x) is an almost surely continuous and rotation invariant Gaussian process on the circle of perimeter one. Viewing…
Concentration of permanent estimators for certain large matrices
Shmuel Friedland, Brian Rider, Ofer Zeitouni
Let A_n=(a_{ij})_{i,j=1}^n be an n\times n positive matrix with entries in [a,b], 0<a\le b. Let X_n=(\sqrta_{ij}x_{ij})_{i,j=1}^n be a random matrix, where {x_{ij}} are i.i.d. N(0,…
Deviations from the Circular Law
Brian Rider
Consider Ginibre's ensemble of non-Hermitian random matrices in which all entries are independent complex Gaussians of mean zero and variance . As $N \upa…