
Saarland University,
Faculty of Mathematics,
Room 2.15, Building E2 4.Email: banna@math.unisb.de
CV: [PDF]
PhD Thesis: [PDF]
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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 ParisEst, 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
 Matrix Poincaré Inequalities and Concentration.
Joint work with R. Aoun and P. Youssef.
Advances in Mathematics.
Elsevier  arXiv  Abstract.
 Operatorvalued matrices with free or exchangeable entries.
Joint work with G. Cébron.
Submitted.
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 informationplusnoise 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 βmixing 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.
 Gaussian Hilbert Spaces together with Dr. Tobias Mai.
 Random matrices together with Prof. Roland Speicher (2018).
 Master 2 Bézout Excellency Track Scholarship offered by Bézout LabEx at Université ParisEst MarnelaVallée.
 Excellence award delivered by the Lebanese University.
 September 2014 September 2015: Organizer of the PhDstudent seminar at LAMA, UPEMUPEC, France.
 26  29 August 2019: American University of Beirut: invited by Richard Aoun.
 28 September  16 October 2014: University of Alberta: invited by Nicole TomczakJaegermann and Alexander Litvak.
 8  12 June 2020: Free Probability  on the occasion of Roland Speicher's 60th birthday, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany (Postponed).
 17  21 August 2020: International Workshop on Operator Theory and its Applications IWOTA 2020, Lancaster University, Lancaster, UK (Postponed).
 24  28 August 2020: 15th FrenchRomanian Conference on Applied Mathematics, Transilvania University of Brasov, Brasov, Romania (Postponed).
 5  9 April 2021: Phenomena in High Dimensions, CIRM, Marseille, France.
 25 July 2019: 30th International Workshop on Operator Theory and its Applications IWOTA 2019, Instituto Superior Técnico, University of Lisbon, Portugal.
 20 June 2019: Journées IOPS  Image, Optimisation, Probabilités et Statistique, Réserve Ornithologique du Teich, Le Teich, France.
 14 May 2019: Séminaire d'Analyse Harmonique Non Commutative, Université de Caen, Caen, France.
 2 May 2019: Conference on Random Matrix Theory: Applications in the Information Era, Jagellonian University, Cracow, Poland.
 6 March 2019: Workshop on Free Probability: the theory, its extensions during the onemonth program New Developments in Free Probability and Applications, CRM, Montréal, Canada.
 5 December 2018: Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany.
 17 November 2017: Distributional symmetries and independences, Bordeaux, France.
 8 November 2017: Seminario Interinstitucional de Matrices Aleatorias: Probabilidad Libre, CIMAT, Guanajuato, Mexico.
 9 February 2017: Probability Seminar, Université du Luxembourg, Luxembourg.
 9 December 2016: Analytic versus Combinatorial in Free Probability, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada. [video], [PDF].
 6 October 2016: Séminaire modélisation stochastique, Université ParisDiderot, Paris, France.
 6 September 2016: Free Probability seminar, Universität des Saarlandes, Saarbrücken, Germany.
 31 August 2016: Journées MAS 2016, Grenoble, France.
 7 June 2016: Séminaire de ProbabilitésStatistiques, Université de Versailles, France.
 30 May 2016: Groupe de travail Probabilités, Théorie Ergodique et Systèmes Dynamiques, Rouen, France.
 17 March 2016: Rencontre: Martingales, chaînes de Markov et Systèmes dynamiques, Brest, France.
 3 December 2015: Journées du Gdr Analyse Fonctionnelle, Harmonique et Probabilités, CIRM, France.
 27 November 2015: Séminaire Calcul stochastique, Université de Strasbourg, France.
 26 May 2015: Journées de probabilités 2015, Institut de Mathématique de Toulouse, 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.
 26 May 2014: Young Women in Probability, Bonn, Germany.
 20 May 2014: Séminaire de ProbabilitésStatistiques, Université de Versailles, France.
 30 April 2014: Séminaire des Doctorants, UPEC, France.
 7 April 2014: Onzième Colloque Jeunes Probabilistes et Statisticiens, ForgeslesEaux, France.
 19 February 2013: Groupe de travail ASPRO, UPEM, France.
 March 2015 September 2015: Representer of PhD students at LAMA department council.