Benoît Collins

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20232026

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math.PR2026

Rank-One HCIZ Integrals and Multiplicative Convolutions

Benoît Collins, Nicolas Delporte, Manasa Nagatsu +1

We study how spectral averaging interacts with the logarithm in large-dimensional rank-one Harish-Chandra--Itzykson--Zuber (HCIZ) integrals. For independent bi-unitarily invariant…

math.PR2026

Smooth Multi-Trace Statistics of Classical Ensembles: Large $N$ Expansions, Cumulants, and Matrix Integrals

Benoît Collins, Manasa Nagatsu

We consider expectations of the form $E [t r h_{1} (X_{1}^{N}) ... t r h_{r} (X_{r}^{N})]$ , where $X_{i}^{N}$ are self-adjoint polynomials in various independent classical random matrices and $h_{i}$ are…

Rank-One HCIZ Integrals and Multiplicative Convolutions

Smooth Multi-Trace Statistics of Classical Ensembles: Large N Expansions, Cumulants, and Matrix Integrals

Smooth Multi-Trace Statistics of Classical Ensembles: Large $N$ Expansions, Cumulants, and Matrix Integrals