On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble

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dc.creatorShcherbina, T.
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:32:12Z
dc.date.available2026-07-07T09:32:12Z
dc.descriptionWe consider the deformed Gaussian Ensemble $H_n=M_n+H^{(0)}_n$ in which $H_n^{(0)}$ is a diagonal Hermitian matrix and $M_n$ is the Gaussian Unitary Ensemble (GUE) random matrix. Assuming that the Normalized Counting Measure of $H_n^{(0)}$ (both non-random and random) converges weakly to a measure $N^{(0)}$ with a bounded support we prove universality of the local eigenvalue statistics in the bulk of the limiting spectrum of $H_n$.
dc.description37 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.2116
dc.identifierhttp://arxiv.org/abs/0804.2116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158731
dc.subjectMathematical Physics
dc.subject15A52; 15A57
dc.titleOn Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble
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