Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum
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Publication:6323055
DOI10.1142/S2010326321500209arXiv1908.00562MaRDI QIDQ6323055
Octavio Arizmendi, Adrian Celestino
Publication date: 1 August 2019
Abstract: We provide a generalization and new proofs of the formulas of Collins, Hasebe and Sakuma for the spectrum of polynomials in cyclic monotone elements. This is applied to random matrices with discrete spectrum.
Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
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