243 citations · 573 across the 28 of their papers we have counts for
5 papers · 1 filter
A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the Kac-Rice Formula
Arlie O. Petters, Brian Rider, Alberto M. Teguia
Continuing our development of a mathematical theory of stochastic microlensing, we study the random shear and expected number of random lensed images of different types. In particu…
A Mathematical Theory of Stochastic Microlensing I. Random Time-Delay Functions and Lensing Maps
Arlie O. Petters, Brian Rider, Alberto M. Teguia
Stochastic microlensing is a central tool in probing dark matter on galactic scales. From first principles, we initiate the development of a mathematical theory of stochastic micro…
How Many Users should be Turned On in a Multi-Antenna Broadcast Channel?
Wei Dai, Youjian, Liu +2
This paper considers broadcast channels with L antennas at the base station and m single-antenna users, where L and m are typically of the same order. We assume that only partial c…
Joint Beamforming for Multiaccess MIMO Systems with Finite Rate Feedback
Wei Dai, Brian C. Rider, Youjian Liu
This paper considers multiaccess multiple-input multiple-output (MIMO) systems with finite rate feedback. The goal is to understand how to efficiently employ the given finite feedb…
Diffusion at the random matrix hard edge
Jose A. Ramirez, Brian Rider
We show that the limiting minimal eigenvalue distributions for a natural generalization of Gaussian sample-covariance structures (the "beta ensembles") are described by the spectru…