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An exact solution to the problem of parametric level statistics innon-Gaussian ensembles of N by N Hermitian random matrices with either soft orstrong level confinement is formulated within the framework of the orthogonalpolynomial technique. Being applied to random matrices with strong levelconfinement, the solution obtained leads to emergence of a new connectionrelation that makes a link between the parametric level statistics and thescalar two-point kernel in the thermodynamic limit.Comment: 4 pages (revtex

Parametric Level Statistics in Random Matrix Theory: Exact Solution