100 citations · 244 across the 10 of their papers we have counts for
10 papers
Spectral statistics of Toeplitz matrices
Eugene Bogomolny
Spectral statistics of hermitian random Toeplitz matrices with independent identically distributed elements is investigated numerically. It is found that the eigenvalue statistics…
A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros
E. Bogomolny, J. P. Keating
We illustrate a general method for calculating spectral statistics that combines the universal (Random Matrix Theory limit) and the non-universal (trace-formula-related) contributi…
Application of a trace formula to the spectra of flat three-dimensional dielectric resonators
S. Bittner, E. Bogomolny, B. Dietz +2
The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formul…
Experimental test of a trace formula for two-dimensional dielectric resonators
S. Bittner, E. Bogomolny, B. Dietz +4
Resonance spectra of two-dimensional dielectric microwave resonators of circular and square shapes have been measured. The deduced length spectra of periodic orbits were analyzed a…
Scattering on two Aharonov-Bohm vortices with opposite fluxes
E Bogomolny, S Mashkevich, S Ouvry
The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary condi…
Spectral statistics of a pseudo-integrable map: the general case
E. Bogomolny, R. Dubertrand, C. Schmit
It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PR…