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math-ph2026
Phase transitions in non-Hermitian spherical integrals
Pierre Bousseyroux, Marc Potters
We study the large- asymptotics of a constrained spherical integral for non-Hermitian random matrices, in which the norms and mutual scalar product of two vectors are fixed. In…
math-ph2024
Distribution of the Diagonal Entries of the Resolvent of a Complex Ginibre Matrix
Pierre Bousseyroux, Jean-Philippe Bouchaud, Marc Potters
The study of eigenvalue distributions in random matrix theory is often conducted by analyzing the resolvent matrix $ \mathbf{G}_{\mathbf{M}}^N(z) = (z \mathbf{1} - \mathbf{M})^{-1}…
math-ph2023★ 1 cited
Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over
Emilia Alvarez, Pierre Bousseyroux, Nina C. Snaith
This work computes the asymptotics of the non-integer moments of the logarithmic derivative of characteristic polynomials of matrices from the ensemble. It follows from…