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19 April 2024
 
  » arxiv » math.QA/0406604

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Density of eigenvalues of random normal matrices
Peter Elbau ; Giovanni Felder ;
Date 29 Jun 2004
Subject Quantum Algebra; Probability MSC-class: 15A52 (primary) | math.QA math.PR
AffiliationETH
AbstractThe relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrodin is made rigorous by restricting normal matrices to have spectrum in a bounded set. It is shown that for a suitable class of potentials the asymptotic density of eigenvalues is uniform with support in the interior domain of a simple smooth curve.
Source arXiv, math.QA/0406604
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