
Saarland University,
Faculty of Mathematics,
Room 2.15, Building E2 4.Email: banna@math.unisb.de
CV: [english], [french]
PhD Thesis: [PDF]
Since November 2016, I am a postdoctoral researcher working on random matrices at Saarland University within the free probability research team of Prof. Roland Speicher. Before I was a CNRS postdoc at Télécom ParisTech under the supervision of Prof. Walid Hachem. In Spetember 2015, I obtained my PhD degree from Université ParisEst, supervised by Prof. Florence Merlevède and Prof. Emmanuel Rio.
Research Interests: Random Matrix Theory
 Concentration Inequalities
 Weak Dependence
 Free Probability Theory
 Bernstein type inequality for a class of dependent random matrices
Random Matrices: Theory and Applications.
Joint work with F. Merlevède and P. Youssef
arXiv  PDF  Abstract.  Limiting spectral distribution of Gram matrices associated with functionals of βmixing processes
Journal of Mathematical Analysis and Applications.
Elsevier  arXiv  PDF  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.
 A CLT for linear spectral statistics of large random informationplusnoise matrices. Part I: Gaussian Fluctuations.
Joint work with J. Najim and J. Yao.
 Master 2 Bézout Excellency Track Scholarship offered by Bézout LabEx at Université ParisEst MarnelaVallée (Interview).
 Excellence award delivred by the Lebanese University.
 September 2014 September 2015: Organizer of the PhDstudent seminar at LAMA, UPEMUPEC, France.
 University of Alberta: invited by Prof. Nicole TomczakJaegermann and Prof. Alexander Litvak for three weeks.
 9 Feb. 2017: Probability Seminar, Université du Luxembourg, Luxembourg.
 3  7 April 2017: ProbabLY ON Random Matrices, Lyon, France.
 9 December 2016: A Bernstein inequality for dependent random matrices. Analytic versus Combinatorial in Free Probability, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada. [video], [PDF].
 6 October 2016: Universalité de la distribution spectrale limite de matrices à entrées corrélées. Séminaire modélisation stochastique, Université ParisDiderot, Paris, France.
 6 September 2016: Random matrices and dependence. Free Probabilty seminar, Universität des Saarlandes, Saarbrücken, Germany.
 31 August 2016: Inégalités de concentrations non commutatives dans un cadre de dépendance. Journées MAS 2016, Grenoble, France.
 7 June 2016: Inégalité de type Bernstein pour de matrices dépendantes. Séminaire de ProbabilitésStatistiques, Université de Versailles, France.
 30 May 2016: Distribution spectrale limite de matrices à entrées corrélées. Groupe de travail Probabilités, Théorie Ergodique et Systèmes Dynamiques, Rouen, France.
 17 March 2016: Inégalité de type Bernstein pour des matrices dépendantes. Rencontre: Martingales, chaînes de Markov et Systèmes dynamiques, Brest, France.
 3 December 2015: Universality of the limiting spectral distribution for matrices with correlated entries. Journées du Gdr Analyse Fonctionnelle, Harmonique et Probabilités, CIRM, France.
 27 November 2015: Universalité de la distribution spectrale limite de matrices à entrées corrélées. Séminaire Calcul stochastique, Université de Strasbourg, France.
 26 May 2015: Inégalité de type Bernstein pour de matrices dépendantes. Journées de probabilités 2015, Institut de Mathématique de Toulouse, France.
 16 January 2015: Universalité de la distribution spectrale limite de matrices symétriques à entrées corrélées. Groupe de travail Matrices et graphes aléatoires (Mega) IHP, France.
 7 October 2014: Large sample covariance matrices associated with weakly dependent processes. University of Alberta, Edmonton, Canada.
 1 October 2014: The MarcenkoPastur theorem via the Lindeberg method. University of Alberta, Edmonton, Canada.
 26 May 2014: Limiting Spectral Distribution of Large Sample Covariance Matrices. Young Women in Probability, Bonn, Germany.
 20 May 2014: Distribution spectrale limite pour de Grandes Matrices de Covariance. Séminaire de ProbabilitésStatistiques, Université de Versailles, France.
 30 April 2014: Matrices de covariance empirique associées aux processus faiblement dépendants. Séminaire des Doctorants, UPEC, France.
 7 April 2014: Matrices Aléatoires et Dépendance. Onzième Colloque Jeunes Probabilistes et Statisticiens, ForgeslesEaux, France.
 19 February 2013: Limiting spectral distribution of large sample covariance matrices associated with stationary processes. Groupe de travail ASPRO, UPEM, France.
 March 2015 September 2015: Representor of PhD students at LAMA department council.