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Eigenvalues of non- Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method

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math.OA 1

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2024 1

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CONDITIONAL 1

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Quaternionic Green's Function and the Brown Measure of Atomic Operators

math.OA · 2024-11-26 · conditional · novelty 6.0

For free atomic Hermitian operators p and q, the boundary heuristic for the Brown measure of X = p + iq implies the boundary is an algebraic curve, and the paper provides an explicit resultant-based algorithm to produce the defining polynomial.

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  • Quaternionic Green's Function and the Brown Measure of Atomic Operators math.OA · 2024-11-26 · conditional · none · ref 3

    For free atomic Hermitian operators p and q, the boundary heuristic for the Brown measure of X = p + iq implies the boundary is an algebraic curve, and the paper provides an explicit resultant-based algorithm to produce the defining polynomial.