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Pierre Youssef Maître de conférences Laboratoire de Probabilités et de Modèles aléatoires Université Paris Diderot Email: [email protected] (where x=youssef) |
Papers
• The dimension-free structure of nonhomogeneous random matrices (Joint with Rafal Latala and Ramon Van Handel), arXiv:1711.00807.• The smallest singular value of a shifted d-regular random square matrix (Joint with Anna Lytova, Alexander Litvak, Konstantin Tikhomirov and Nicole Tomczak-Jaegermann), arXiv:1707.02635.
• The spectral gap for dense random regular graphs (Joint with Konstantin Tikhomirov), arXiv:1610.01765.
• On the norm of a random jointly exchangeable matrix (Joint with Konstantin Tikhomirov), arXiv:1610.01751.
• Approximating matrices and convex bodies (Joint with Omer Friedland), accepted in Int. Math. Res. Not. IMRN , arXiv:1605.03861.
• Restricted invertibility revisited (Joint with Assaf Naor), accepted in Journey Through Discrete Mathematics. A Tribute to Jiri Matousek. arXiv:1601.00948.
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- • Adjacency matrices of random digraphs: singularity and anti-concentration (Joint with Anna Lytova, Alexander Litvak, Konstantin Tikhomirov and Nicole Tomczak-Jaegermann), J. of Math. Analysis and Appl., 445 (2017), 1447--1491, arXiv:1511.00113.
• Bernstein type inequality for a class of dependent random matrices (Joint with Marwa Banna and Florence Merlevède), Random Matrices Theory Appl. 5 (2016), no. 2, 1650006, 28 pp, arXiv:1504.05834.
- • When does a discrete-time random walk in R^n absorb the origin into its convex hull? (Joint with Konstantin Tikhomirov), Ann. Probab. 45 (2017), no. 2, 965-1002, arXiv:1410.0458v2.
- • Extracting a basis with fixed block inside a matrix, Linear Algebra Appl. 469 (2015), 28–38, arXiv:1401.6434.
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- • Estimating the covariance of random matrices, Electron. J. Probab. 18 (2013), no. 107, 26 pp, arXiv:1301.6607.
• A note on column subset selection, Int. Math. Res. Not. IMRN 2014, no. 23, 6431–6447, arXiv:1212.0976.
- • Restricted invertibility and the
Banach-Mazur distance to the
Cube, Mathematika 60
(2014), no. 1, 201–218, arXiv:1206.0654.
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Dissertations and expository notes
- • Bennett-Bernstein inequality and the spectral gap of random regular graphs, 9 hours mini-course given at the Lebanese University, Faculty of Sciences II. pdf version.
- • Invertibilité restreinte,
distance au cube et covariance de matrices
aléatoires, Thèse sous la direction d'Olivier
Guédon. pdf
version.
• Invertibilité restreinte et distance de Banach-Mazur au Cube, Mémoire de master sous la direction de Dario Cordero-Erausquin et Olivier Guédon. Version pdf.
• Existence et unicité des préduaux des espaces de Banach, T.E.R sous la direction de Gilles Godefroy. Version pdf. -
