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nlin.CD2001★ 37 cited
Nearest-neighbor distribution for singular billiards
E. Bogomolny, O. Giraud, C. Schmit
The exact computation of the nearest-neighbor spacing distribution P(s) is performed for a rectangular billiard with point-like scatterer inside for periodic and Dirichlet boundary…
nlin.CD2001★ 145 cited
Percolation model for nodal domains of chaotic wave functions
E. Bogomolny, C. Schmit
Nodal domains are regions where a function has definite sign. In recent paper [nlin.CD/0109029] it is conjectured that the distribution of nodal domains for quantum eigenfunctions…
nlin.CD2001★ 10 cited
Semi-classical calculations of the two-point correlation form factor for diffractive systems
E. Bogomolny, O. Giraud
The computation of the two-point correlation form factor K(t) is performed for a rectangular billiard with a small size impurity inside for both periodic or Dirichlet boundary cond…