11 citations · 21 across the 9 of their papers we have counts for
12 papers
Spectral Universality for Matrices with Non-Linear Correlated Entries
Marwa Banna, Issa-Mbenard Dabo, Florence Merlevède
We establish nonasymptotic spectral comparison results for matrices whose entries are non-linear functions of an iid random field. Under an exponential decay assumption on an $\mat…
Strong Convergence of Multiplicative Brownian Motions on the General Linear Group
Marwa Banna, Mireille Capitaine, Guillaume Cébron
We consider the family of multiplicative Brownian motions on the general linear group introduced by Driver-Hall-Kemp. They are parametrized by the real variance $λ\in \ma…
Rates of convergence in the Free Multiplicative Central Limit Theorem
Marwa Banna, Nicolas Gilliers, Pei-Lun Tseng
We provide the first quantitative estimates for the rate of convergence in the free multiplicative central limit theorem (CLT), in terms of the Kolmogorov and -Wasserstein dista…
The Distribution of Polynomials in Monotone Independent Elements
Marwa Banna, Pei-Lun Tseng
Building on the work of Arizmendi and Celestino (2021), we derive the -distributions of polynomials in monotone independent and infinitesimally monotone independent elements. Fo…
Quantitative Estimates for Operator-Valued and Infinitesimal Boolean and Monotone Limit Theorems
Octavio Arizmendi, Marwa Banna, Pei-Lun Tseng
We provide Berry-Esseen bounds for sums of operator-valued Boolean and monotone independent variables, in terms of the first moments of the summands. Our bounds are on the level of…
Berry-Esseen bounds for the multivariate -free CLT and operator-valued matrices
Marwa Banna, Tobias Mai
We provide bounds of Berry-Esseen type for fundamental limit theorems in operator-valued free probability theory such as the operator-valued free Central Limit Theorem and the asym…
Matrix Poincaré inequalities and concentration
Richard Aoun, Marwa Banna, Pierre Youssef
We show that any probability measure satisfying a Matrix Poincaré inequality with respect to some reversible Markov generator satisfies an exponential matrix concentration inequali…
Operator-Valued Matrices with Free or Exchangeable Entries
Marwa Banna, Guillaume Cébron
We study matrices whose entries are free or exchangeable noncommutative elements in some tracial -probability space. More precisely, we consider operator-valued Wigner and Wis…
Hölder Continuity of Cumulative Distribution Functions for Noncommutative Polynomials under Finite Free Fisher Information
Marwa Banna, Tobias Mai
This paper contributes to the current studies on regularity properties of noncommutative distributions in free probability theory. More precisely, we consider evaluations of selfad…
Bernstein type inequality for a class of dependent random matrices
Marwa Banna, Florence Merlevède, Pierre Youssef
In this paper we obtain a Bernstein type inequality for the sum of self-adjoint centered and geometrically absolutely regular random matrices with bounded largest eigenvalue. This…
Limiting spectral distribution of Gram matrices associated with functionals of -mixing processes
Marwa Banna
We give asymptotic spectral results for Gram matrices of the form where the entries of are dependent across both rows and col…
On the limiting spectral distribution for a large class of random matrices with correlated entries
Florence Merlevede, Magda Peligrad, Marwa Banna
For symmetric random matrices with correlated entries, which are functions of independent random variables, we show that the asymptotic behavior of the empirical eigenvalue distrib…