Spacing distributions in random matrix ensembles

Details Spacing distributions in random matrix ensembles Spacing distributions in random matrix ensembles

2004-12-20

arxiv.org/abs/math-ph/0412066v1

Physics

Mathematical Physics

23 pages

Scientific paper

This paper is my contribution to the planned publication Recent Perspectives
in Random Matrix Theory (Cambridge University Press). Addressed is the problem
of computing spacing distributions in the bulk for the three symmetry classes
orthogonal, unitary and symplectic. Emphasis is placed on the role of Painleve
transcendents.

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