78 citations · 542 across the 28 of their papers we have counts for
28 papers
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…
Power spectrum and form factor in random diagonal matrices and integrable billiards
Roman Riser, Eugene Kanzieper
Triggered by a controversy surrounding a universal behaviour of the power spectrum in quantum systems exhibiting regular classical dynamics, we focus on a model of random diagonal…
Nonperturbative theory of power spectrum in complex systems
Roman Riser, Vladimir Al. Osipov, Eugene Kanzieper
The power spectrum analysis of spectral fluctuations in complex wave and quantum systems has emerged as a useful tool for studying their internal dynamics. In this paper, we formul…