Id Photo

Saarland University,
Faculty of Mathematics,
Room 2.15, Building E2 4.

PhD Thesis: [PDF]


Google Scholar:

I have moved to New York University Abu Dhabi in January 2021.

Since November 2016, I am a postdoctoral researcher working on random matrices at Saarland University within the free probability research team of Roland Speicher. Before I was a CNRS postdoc at Télécom ParisTech hosted by Walid Hachem. In Spetember 2015, I obtained my PhD degree from Université Paris-Est, supervised by Florence Merlevède and Emmanuel Rio.

Research Interests:
  • Random Matrix Theory
  • Free Probability Theory
  • Matrix concentration Inequalities
  • Mathematical aspects of deep learning
  • Weak Dependence
Publications and Preprints:
  • Berry-Esseen bounds for the multivariate B-free CLT and operator-valued matrices.
    Joint work with T. Mai.
    arXiv - Abstract.
  • Matrix Poincaré Inequalities and Concentration.
    Joint work with R. Aoun and P. Youssef.
    Advances in Mathematics.
    Elsevier - arXiv - Abstract.
  • Operator-valued matrices with free or exchangeable entries.
    Joint work with G. Cébron.
    arXiv - Abstract.
  • Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information.
    Joint work with T. Mai.
    Journal of Functional Analysis.
    Elsevier - arXiv - Abstract.
  • A CLT for linear spectral statistics of large random information-plus-noise matrices.
    Joint work with J. Najim and J. Yao.
    Stochastic Processes and their Applications.
    Elsevier - HAL - Abstract.
  • Bernstein type inequality for a class of dependent random matrices
    Random Matrices: Theory and Applications.
    Joint work with F. Merlevède and P. Youssef
    World Scientific - arXiv - Abstract.

  • Limiting spectral distribution of Gram matrices associated with functionals of β-mixing processes
    Journal of Mathematical Analysis and Applications.
    Elsevier - arXiv - Abstract.

  • On the limiting spectral distribution for a large class of symmetric random matrices with correlated entries
    Stochastic Processes and their Applications.
    Joint work with F. Merlevède and M. Peligrad
    Elsevier - PDF - Abstract.

  • Limiting spectral distribution of large sample covariance matrices associated with a class of stationary processes
    Journal of Theoratical Probability.
    Joint work with F. Merlevède
    Springer - PDF - Abstract.

  • Excellence award delivered by the Lebanese University.

Scientific Activities:
  • September 2014- September 2015: Organizer of the PhD-student seminar at LAMA, UPEM-UPEC, France.

International Stays:
Forthcoming events:
  • 5 - 9 April 2021: Phenomena in High Dimensions, CIRM, Marseille, France.
  • 17 November 2017: Distributional symmetries and independences, Bordeaux, France.
  • 27 November 2015: Séminaire Calcul stochastique, Université de Strasbourg, France.
  • 16 January 2015: Groupe de travail Matrices et graphes aléatoires (Mega) IHP, France.
  • 7 October 2014: University of Alberta, Edmonton, Canada.
  • 1 October 2014: University of Alberta, Edmonton, Canada.
Administrative Responsibilities :
  • March 2015- September 2015: Representer of PhD students at LAMA department council.

Marwa Banna - Saarland Universty - Germany