466 citations · 2.7k across the 81 of their papers we have counts for
3 papers · 1 filter
The probability distribution of spectral moments for the Gaussian beta-ensembles
Tomasz Maciążek, Christopher H. Joyner, Uzy Smilansky
We derive the joint probability distribution of the first two spectral moments for the GE random matrix ensembles in N dimensions for any N. This is achieved by making use of tw…
Dyson's Brownian-motion model for random matrix theory - revisited. With an Appendix by Don Zagier
Christopher H. Joyner, Uzy Smilansky
We offer an alternative viewpoint on Dyson's original paper regarding the application of Brownian motion to random matrix theory (RMT). In particular we show how one may use the sa…
Spectral statistics of Bernoulli matrix ensembles - a random walk approach (I)
Christopher H. Joyner, Uzy Smilansky
We investigate the eigenvalue statistics of random Bernoulli matrices, where the matrix elements are chosen independently from a binary set with equal probability. This is achieved…