Abstract
We construct the distributionP(S) of nearest-neighbor level spacings for the orthogonal, unitary, and symplectic ensembles of (Hermitian and unitary) random matrices in the limit of large dimension. The Taylor expansion ofP(S) aroundS=0 is given explicitly to arbitrarily high orders. By employing a diagonal Pade approximation we interpolate between the small-S behavior given by the Taylor expansion and the rigorously known asymptotic form at largeS.
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