145 citations · 1.1k across the 23 of their papers we have counts for
4 papers · 1 filter
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…
Circular dielectric cavity and its deformations
R. Dubertrand, E. Bogomolny, N. Djellali +2
The construction of perturbation series for slightly deformed dielectric circular cavity is discussed in details. The obtained formulae are checked on the example of cut disks. A g…
Random wave functions and percolation
E. Bogomolny, C. Schmit
Recently it was conjectured that nodal domains of random wave functions are adequately described by critical percolation theory. In this paper we strengthen this conjecture in two…
Inferring periodic orbits from spectra of simple shaped micro-lasers
M. Lebental, N. Djellali, C. Arnaud +5
Dielectric micro-cavities are widely used as laser resonators and characterizations of their spectra are of interest for various applications. We experimentally investigate micro-l…