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- EugÃ¨ne Bogomolny, Charles Schmit
- Physical review letters
- 2002

Nodal domains are regions where a function has definite sign. In [] it is conjectured that the distribution of nodal domains for quantum eigenfunctions of chaotic systems is universal. We propose aâ€¦ (More)

We review the relations between distance matrices and isometric embed-dings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except oneâ€¦ (More)

- EugÃ¨ne Bogomolny, Charles Schmit
- Physical review letters
- 2004

Wave functions of pseudointegrable plane polygonal billiards are investigated. It is demonstrated that they have clear structures (superscars) related with families of classical periodic orbits whichâ€¦ (More)

Distance matrices are matrices whose elements are the relative distances between points located on a certain manifold. In all cases considered here all their eigenvalues except one are non-positive.â€¦ (More)

We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional billiard systems with corners. This is achieved by using theâ€¦ (More)

- EugÃ¨ne Bogomolny, Barbara Dietz, +4 authors Charles Schmit
- Physical review letters
- 2006

With a perturbation body technique intensity distributions of the electric field strength in a flat microwave billiard with a barrier inside up to mode numbers as large as about 700 were measured. Aâ€¦ (More)

- EugÃ¨ne Bogomolny, Olivier Giraud, Charles Schmit
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

The exact computation of the nearest-neighbor spacing distribution P(s) is performed for a rectangular billiard with a pointlike scatterer inside for periodic and Dirichlet boundary conditions, andâ€¦ (More)

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 respects. First, weâ€¦ (More)

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 statistics similar toâ€¦ (More)

- Helmut G. Alt, C. Dembowski, +4 authors Charles Schmit
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

We compare the statistical properties of eigenvalue sequences for a gamma=1 Bunimovich stadium billiard. The eigenvalues have been obtained in two ways: one set results from a measurement of theâ€¦ (More)