Spacing distributions for real symmetric 2 × 2 generalized Gaussian ensembles

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)

Abstract

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 contributionSpacing distributions for real symmetric 2 × 2 generalized Gaussian ensembles
Original languageEnglish
Pages (from-to)485102-1 - 485102-13
Number of pages13
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
DOIs
Publication statusPublished - Nov 2009

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