For ensembles of 2 × 2 real symmetric matrices, the normalized spacing distributions P(S) form a family whose parameter space is the unit cube with coordinates determined by the means and variances of the diagonal and off-diagonal elements. The cube contains a variety of spacing distributions that are calculated analytically; they include the Wigner–Poisson transition, distributions with singularities and Gaussians. Unfolding is superfluous for 2 × 2 matrices, but it can be implemented, giving rise to a further variety of spacing distributions, some surprising.
|Translated title of the contribution||Spacing distributions for real symmetric 2 × 2 generalized Gaussian ensembles|
|Pages (from-to)||485102-1 - 485102-13|
|Number of pages||13|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - Nov 2009|