1 citations · 1 across the 13 of their papers we have counts for
16 papers
Diffusion-Induced Stabilization of Nonreciprocal Wealth Dynamics
Pierre Bousseyroux, Gilles Zérah, Michael Benzaquen
We study the stability of equal wealth shares in a spatial model combining local sharing, global redistribution, and random nonreciprocal interactions. On a two-dimensional square…
R-transforms for non-Hermitian block random matrices: a spherical integral approach
Pierre Bousseyroux
We extend the spherical-integral approach to -transforms of non-Hermitian random matrices to random matrices with a fixed block structure. We introduce a…
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…
A rank-two spherical transform for eigenvector and singular-vector overlaps
Pierre Bousseyroux
We define a rank-two extension of the spherical -transform, together with its associated transform . For sums, both transforms a…
Finite-rank multiplicative perturbations of rotationally invariant non-Hermitian random matrices
Pierre Bousseyroux, Marc Potters
We study finite-rank multiplicative deformations of rotationally invariant non-Hermitian random matrices. More precisely, we consider models of the form $\mathbf{A}(\mathbf{I}+\mat…
Spectral properties of deterministic matrices multiplied by rotationally invariant random non-Hermitian ensembles
Pierre Bousseyroux, Marc Potters
In this paper, we study spectral properties of multiplicative deformations of non-Hermitian random matrices. We consider matrices of the form , where $\mathbf…
Spectra of high-dimensional Spearman correlation matrices under scale-mixture dependence
Jean-Philippe Bouchaud, Pierre Bousseyroux, Tomas Espana +1
We study the asymptotic spectral properties of high-dimensional Spearman correlation matrices for scale-mixture data. We consider observations of the form $x_t=σ_t ξ_t \in \mathbb{…
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…
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 the…
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…
Group-Level Imitation May Stabilize Cooperation
Pierre Bousseyroux, Gilles Zérah, Michael Benzaquen
Stabilizing cooperation among self-interested individuals presents a fundamental challenge in evolutionary theory and social science. While classical models predict the dominance o…
Another Marcenko-Pastur law for Kendall's tau
Pierre Bousseyroux, Tomas Espana, Matteo Smerlak
Bandeira et al. (2017) show that the eigenvalues of the Kendall correlation matrix of i.i.d. random vectors in are asymptotically distributed like $1/3 + (2/3)Y_…
Free Convolution and Generalized Dyson Brownian Motion
Pierre Bousseyroux, Jean-Philippe Bouchaud
The eigenvalue spectrum of the sum of large random matrices that are mutually "free", i.e., randomly rotated, can be obtained using the formalism of R-transforms, with many applica…
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}…
Spectral Initialization for High-Dimensional Phase Retrieval with Biased Spatial Directions
Pierre Bousseyroux, Marc Potters
We explore a spectral initialization method that plays a central role in contemporary research on signal estimation in nonconvex scenarios. In a noiseless phase retrieval framework…
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…