145 citations · 1.1k across the 23 of their papers we have counts for
23 papers
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…
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
E. Bogomolny, N. Djellali, R. Dubertrand +5
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE, vol. 78, 056202 (2008)] the…
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…
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…
Trace formula for dieletric cavities : I. General properties
E. Bogomolny, R. Dubertrand, C. Schmit
The construction of the trace formula for open dielectric cavities is examined in detail. Using the Krein formula it is shown that the sum over cavity resonances can be written as…
Distance matrices and isometric embeddings
E. Bogomolny, O. Bohigas, C. Schmit
We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenval…