82 citations · 386 across the 15 of their papers we have counts for
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Intermediate spectral statistics of rational triangular quantum billiards
Črt Lozej, Eugene Bogomolny
Triangular billiards whose angles are rational multiples of are one of the simplest examples of pseudo-integrable models with intriguing classical and quantum properties. We pe…
Spectral Properties and Dynamical Tunneling in Constant-Width Billiards
B. Dietz, T. Guhr, B. Gutkin +2
We determine with unprecedented accuracy the lowest 900 eigenvalues of two quantum constant-width billiards from resonance spectra measured with flat, superconducting microwave res…
Trace formula for dielectric cavities III: TE modes
E. Bogomolny, R. Dubertrand
The construction of the semiclassical trace formula for the resonances with the transverse electric (TE) polarization for two-dimensional dielectric cavities is discussed. Special…
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
E. Bogomolny, O. Giraud
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both…
Eigenfunction entropy and spectral compressibility for critical random matrix ensembles
E. Bogomolny, O. Giraud
Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral c…
SLE description of the nodal lines of random wave functions
E. Bogomolny, R. Dubertrand, C. Schmit
The nodal lines of random wave functions are investigated. We demonstrate numerically that they are well approximated by the so-called SLE_6 curves which describe the continuum lim…
Short-range plasma model for intermediate spectral statistics
E. Bogomolny, U. Gerland, C. Schmit
We propose a plasma model for spectral statistics displaying level repulsion without long-range spectral rigidity, i.e. statistics intermediate between random matrix and Poisson st…
Spectral statistics of chaotic systems with a point-like scatterer
E. Bogomolny, P. Leboeuf, C. Schmit
The statistical properties of a Hamiltonian perturbed by a localized scatterer are considered. We prove that when describes a bounded chaotic motion, the universal part…