77 citations · 180 across the 5 of their papers we have counts for
6 papers
Calculation of mean spectral density for statistically uniform tree-like random models
E. Bogomolny, O. Giraud
For random matrices with tree-like structure there exists a recursive relation for the local Green functions whose solution permits to find directly many important quantities in th…
Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
E. Bogomolny, O. Giraud
We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contr…
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…
Integrable random matrix ensembles
E. Bogomolny, O. Giraud, C. Schmit
We propose new classes of random matrix ensembles whose statistical properties are intermediate between statistics of Wigner-Dyson random matrices and Poisson statistics. The const…
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…
Random matrix ensembles associated with Lax matrices
E. Bogomolny, O. Giraud, C. Schmit
A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain dist…