243 citations · 573 across the 28 of their papers we have counts for
8 papers · 1 filter
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…
Effect of Finite Rate Feedback on CDMA Signature Optimization and MIMO Beamforming Vector Selection
Wei Dai, Youjian Liu, Brian Rider
We analyze the effect of finite rate feedback on CDMA (code-division multiple access) signature optimization and MIMO (multi-input-multi-output) beamforming vector selection. In CD…
Complex determinantal processes and H1 noise
Brian Rider, Balint Virag
For the plane, sphere, and hyperbolic plane we consider the canonical invariant determinantal point processes with intensity rho dnu, where nu is the corresponding invariant measur…
Beta ensembles, stochastic Airy spectrum, and a diffusion
Jose Ramirez, Brian Rider, Balint Virag
We prove that the largest eigenvalues of the beta ensembles of random matrix theory converge in distribution to the low-lying eigenvalues of the random Schroedinger operator -d^2/d…
The noise in the circular law and the Gaussian free field
Brian Rider, Balint Virag
Fill an n x n matrix with independent complex Gaussians of variance 1/n. As n approaches infinity, the eigenvalues {z_k} converge to a sum of an H^1-noise on the unit disk and an i…
On the Information Rate of MIMO Systems with Finite Rate Channel State Feedback Using Beamforming and Power On/Off Strategy
Wei Dai, Youjian Liu, Vincent K. N. Lau +1
It is well known that Multiple-Input Multiple-Output (MIMO) systems have high spectral efficiency, especially when channel state information at the transmitter (CSIT) is available.…