3 papers
cond-mat.dis-nn2026
Spectral boundaries of deterministic matrices deformed by rotationally invariant random non-Hermitian ensembles
Pierre Bousseyroux, Marc Potters
One of the great miracles of random matrix theory is that, in the limit, many otherwise intractable matrix problems with horrendously complicated finite- expressi…
cond-mat.dis-nn2026
The eigenvalues and eigenvectors of finite-rank normal perturbations of large rotationally invariant non-Hermitian matrices
Pierre Bousseyroux, Marc Potters
We study finite-rank normal deformations of rotationally invariant non-Hermitian random matrices. Extending the classical Baik-Ben Arous-Péché (BBP) framework, we characterize th…
cond-mat.dis-nn2026
R-transforms for non-Hermitian matrices: a spherical integral approach
Pierre Bousseyroux, Marc Potters
In this paper, we establish a connection between the formalism of -transforms for non-Hermitian random matrices and the framework of spherical integrals, using the rep…