Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary

DOI10.1016/j.jat.2012.02.001zbMath1243.15024arXiv1108.3052OpenAlexW2154043812MaRDI QIDQ420769

Christopher D. Sinclair, Maxim L. Yattselev

Publication date: 23 May 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3052

zbMATH Keywords

Chebyshev polynomialsuniversalityFaber polynomialsscaling limitsarea orthogonalityexterior asymptoticsLubinsky universal kernelMahler measure of polynomialnormal matrix modelRandom polynomials

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Random matrices (algebraic aspects) (15B52) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Edge fluctuations for random normal matrix ensembles ⋮ An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Large deviations and linear statistics for potential theoretic ensembles associated with regular closed sets ⋮ The reciprocal Mahler ensembles of random polynomials ⋮ Root statistics of random polynomials with bounded Mahler measure ⋮ Two universality results for polynomial reproducing kernels

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