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arXiv · 2608.24352

Second moments associated with finite free multiplicative convolution

Nicolas Gilliers·Andrea Pettenello
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Abstract

We compute the second mixed moment of elementary symmetric polynomials in the eigenvalues of the random matrix model $AUBU^*$, where $A$ and $B$ are positive, and $U$ is a Haar-distributed random matrix, associated with finite free multiplicative convolution.

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Nicolas Gilliers, Andrea Pettenello. 2026-08-25. Second moments associated with finite free multiplicative convolution. https://arxiv.org/abs/2608.24352

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