# Unitary random-matrix ensemble with governable level confinement.

@article{Freilikher1996UnitaryRE, title={Unitary random-matrix ensemble with governable level confinement.}, author={Freilikher and Kanzieper and Yurkevich}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={1996}, volume={53 3}, pages={ 2200-2209 } }

A family of unitary \ensuremath{\alpha} ensembles of random matrices with governable confinement potential V(x)\ensuremath{\sim}\ensuremath{\Vert}x${\mathrm{\ensuremath{\Vert}}}^{\mathrm{\ensuremath{\alpha}}}$ is studied employing exact results of the theory of nonclassical orthogonal polynomials. The density of levels, two-point kernel, locally rescaled two-level cluster function, and smoothed connected correlations between the density of eigenvalues are calculated for strong (\ensuremath…

## 15 Citations

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