41 citations · 188 across the 15 of their papers we have counts for
15 papers
Flowing to Normality and the Fate of the Single Ring Theorem
Joshua Feinberg, Roman Riser, Richard Scalettar +1
Random non-hermitian matrix ensembles with double-sided rotation invariance obey, in the limit of large matrix size, the Single Ring Theorem, which states that the support of the m…
On the asymptotic duality of spectral variances in random matrix theory and the "1/6" formula
Peng Tian, Roman Riser, Eugene Kanzieper
A "mysterious" relation between the number variance and the variance of the -th ordered eigenvalue, first suggested by French et al. [Ann. Phys. 113, 277 (1978)], is revisited a…
Statistics of local level spacings in single- and many-body quantum chaos
Peng Tian, Roman Riser, Eugene Kanzieper
We introduce a notion of local level spacings and study their statistics within a random-matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine…
Power spectra and autocovariances of level spacings beyond the Dyson conjecture
Roman Riser, Peng Tian, Eugene Kanzieper
Introduced in the early days of random matrix theory, the autocovariances of level spacings accommodate a detailed information on correla…
Power spectrum of the circular unitary ensemble
Roman Riser, Eugene Kanzieper
We study the power spectrum of eigen-angles of random matrices drawn from the circular unitary ensemble and show that it can be evaluated in terms of either a Fredho…
Pseudo-Hermitian Random Matrix Models: General Formalism
Joshua Feinberg, Roman Riser
Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Kre…