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math.PR2026
Second moments associated with finite free multiplicative convolution
Nicolas Gilliers, Andrea Pettenello
We compute the second mixed moment of elementary symmetric polynomials in the eigenvalues of the random matrix model , where and are positive, and is a Haar-dis…
math.PR2025
Finite free probability and transforms of Jacobi processes
Nizar Demni, Nicolas Gilliers, Tarek Hamdi
We calculate the averaged characteristic polynomial and its finite transform for the Hermitian Jacobi process at any fixed time . We give a direct proof that this sequence…