Abstract
It is shown that the Kolmogorov distance between the expected spectral distribution function of an n × n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n −2/3+v).
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Research supported by the DFG-Forschergruppe FOR 399/1. Partially supported by INTAS grant N 03-51-5018, by RFBF grant N 02-01-00233, by RFBR-DFG grant N 04-01-04000, by RF grant of the leading scientific schools NSh-4222.2006.1.
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Götze, F., Tikhomirov, A.N. & Timushev, D.A. Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. centr.eur.j.math. 5, 305–334 (2007). https://doi.org/10.2478/s11533-007-0006-4
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DOI: https://doi.org/10.2478/s11533-007-0006-4