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math-ph2022★ 4 cited
Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices
Pierre Mergny, Marc Potters
In this note we study the right large deviation of the top eigenvalue (or singular value) of the sum or product of two random matrices and as their dimens…
math-ph2020★ 9 cited
Asymptotic behavior of the multiplicative counterpart of the Harish-Chandra integral and the -transform
Pierre Mergny, Marc Potters
In this note, we study the asymptotic of spherical integrals, which are analytical extension in index of the normalized Schur polynomials for , and of Jack symmetric polynomi…