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Title: Asymptotic analysis of the density of states in random matrix models associated with a slowly decaying weight
Authors: Kuijlaars, Arno # ×
Issue Date: 2001
Publisher: ELSEVIER SCIENCE BV
Series Title: Journal of computational and applied mathematics vol:133 issue:1-2 pages:127-140
Abstract: The asymptotic behavior of polynomials that are orthogonal with respect to a slowly decaying weight is very different from the asymptotic behavior of polynomials that are orthogonal with respect to a Freud-type weight. While the latter has been extensively studied, much less is known about the former. Following an earlier investigation into the zero behavior, we study here the asymptotics of the density of states in a unitary ensemble of random matrices with a slowly decaying weight. This measure is also naturally connected with the orthogonal polynomials. It is shown that, after suitable rescaling, the weak limit is the same as the weak limit of the rescaled zeros.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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