Olivier Guédon

Documents

Publications

	Asymptotics of the Inertia Moments and the Variance Conjecture in Schatten Balls Benjamin Dadoun , Matthieu Fradelizi , Olivier Guédon , Pierre-André Zitt Journal of Functional Analysis, inPress, 284 (2), ⟨10.1016/j.jfa.2022.109741⟩ Article dans une revue hal-03428760v2
	On the geometry of polytopes generated by heavy-tailed random vectors Olivier Guédon , Felix Krahmer , Christian Kümmerle , Shahar Mendelson , Holger Rauhut Communications in Contemporary Mathematics, 2022, 24 (03), ⟨10.1142/S0219199721500565⟩ Article dans une revue hal-02276997v1
	Random polytopes obtained by matrices with heavy-tailed entries Olivier Guédon , Alexander E. Litvak , K. Tatarko Communications in Contemporary Mathematics, 2019, 22 (04), pp.1950027. ⟨10.1142/S0219199719500275⟩ Article dans une revue hal-02269159v1
	Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets Luc Deleaval , Olivier Guédon , Bernard Maurey Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2018, 27 (1), pp.1-198. ⟨10.5802/afst.1567⟩ Article dans une revue hal-02269166v1
	On the interval of fluctuation of the singular values of random matrices Olivier Guédon , Alexander Litvak , Alain Pajor , Nicole Tomczak-Jaegermann Journal of the European Mathematical Society, 2017, 19 (5), pp.1469-1505. ⟨10.4171/JEMS/697⟩ Article dans une revue hal-01262618v1
	On the expectation of operator norms of random matrices Olivier Guédon , Aicke Hinrichs , A. E. Litvak , Joscha Prochno Lecture Notes in Mathematics, 2017, 2169, pp.151-162. ⟨10.1007/978-3-319-45282-1_10⟩ Article dans une revue hal-02269163v1
	Inverse Littlewood–Offord Problems for Quasi-norms Omer Friedland , Ohad Giladi , Olivier Guédon Discrete and Computational Geometry, 2017, 57 (1), pp.231-255. ⟨10.1007/s00454-016-9829-8⟩ Article dans une revue hal-02269161v1
	Functional Versions of Lp-Affine Surface Area and Entropy Inequalities Umut Caglar , Matthieu Fradelizi , Olivier Guédon , Joseph Lehec , Carsten Schütt International Mathematics Research Notices, 2016, 4, pp.1223-1250. ⟨10.1093/imrn/rnv151⟩ Article dans une revue hal-01262626v1
	Small Ball Estimates for Quasi-Norms Omer Friedland , Ohad Giladi , Olivier Guédon Journal of Theoretical Probability, 2016, 29 (4), pp.1025-1049. ⟨10.1007/s10959-015-0622-z⟩ Article dans une revue hal-01262620v1
	Concentration phenomena in high dimensional geometry Olivier Guédon ESAIM: Proceedings and Surveys, 2014, ESAIM Proceedings, 44, pp.47 - 60. ⟨10.1051/proc/201444002⟩ Article dans une revue hal-01073087v1
	The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one Olivier Guédon , Anna Lytova , Alain Pajor , Leonid Pastur American Mathematical Society Translations: Series 2,, 2014, 233 (1), pp.145-164 Article dans une revue hal-01073959v1
	Thin-shell concentration for convex measures Matthieu Fradelizi , Olivier Guédon , Alain Pajor Studia Mathematica, 2014, 223 (2), ⟨10.4064/sm223-2-2⟩ Article dans une revue hal-01073062v1
	Restricted isometry property for random matrices with heavy-tailed columns. Olivier Guédon , Alexander Litvak , Alain Pajor , Nicole Tomczak-Jaegermann Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2014, 352 (5), pp.431-434 Article dans une revue hal-01073504v1
	Sparsity and non-Euclidean embeddings Omer Friedland , Olivier Guédon Israel Journal of Mathematics, 2013, 197 (1), pp.329-345. ⟨10.1007/s11856-013-0014-y⟩ Article dans une revue hal-00795794v1
	Condition number of a square matrix with i.i.d. columns drawn from a convex body Radosław Adamczak , Olivier Guédon , Alexander Litvak , Alain Pajor , Nicole Tomczak-Jaegermann Proceedings of the American Mathematical Society, 2012, 140, pp.987-998 Article dans une revue hal-00793773v1
	Moment estimates for convex measures Radosław Adamczak , Olivier Guédon , Rafal Latala , Alexander Litvak , Krzysztof Oleszkiewicz Electronic Journal of Probability, 2012, 17, pp.101: 1-19 Article dans une revue hal-00793780v1
	On the symmetric average of a body Olivier Guédon , Alexander Litvak Advances in Geometry, 2011, 11 (4), pp.615-622 Article dans une revue hal-00795793v1
	Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures Olivier Guédon , Emanuel Milman Geometric And Functional Analysis, 2011, 21 (5), pp.1043-1068 Article dans une revue hal-00795791v1
	Random embedding from $\ell_p^n$ into $\ell_r^N$ Omer Friedland , Olivier Guédon Mathematische Annalen, 2011, 350 (4), pp.953-972 Article dans une revue hal-00795790v1
	On the isotropic constant of random polytopes Nikolaos Dafnis , Apostolos Giannopoulos , Olivier Guédon Advances in Geometry, 2010, 10 (2), pp.311-322 Article dans une revue hal-00795416v1
	Smallest singular value of random matrices with independent columns Radosław Adamczak , Olivier Guédon , Alain Pajor , Nicole Tomczak-Jaegermann Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2008, 346, pp.853-856 Article dans une revue hal-00793768v1
	Majorizing measures and proportional subsets of bounded orthonormal systems Olivier Guédon , Shahar Mendelson , Alain Pajor , Nicole Tomczak-Jaegermann Revista Matemática Iberoamericana, 2008, 24 (3), pp.1075-1095 Article dans une revue hal-00793744v1
	Kahane-Khinchine type inequalities for negative exponent Olivier Guedon Mathematika, 1999, 46 (91), pp.165--173 Article dans une revue hal-00693887v1

	Interactions between compressed sensing, random matrices, and high dimensional geometry Djalil Chafai , Olivier Guédon , Guillaume Lecué , Alain Pajor Société Mathématique de France, In press (Panoramas et Synthèses n°37), 2012 Ouvrages hal-00786546v1

	Concentration inequalities and geometry of convex bodies Olivier Guédon , Piotr Nayar , Tomasz Tkocz Institue of Mathematics, Polish Academy of Sciences. Analytic and probabilistic methods in the geometry of convex bodies, 2, Institue of Mathematics, Polish Academy of Sciences, pp.9-86, 2014, IMPAN Lecture Notes, 978-83-86806-24-9. ⟨10.4064/ln2-1⟩ Chapitre d'ouvrage hal-01073086v1

Olivier Guédon

Publications

Asymptotics of the Inertia Moments and the Variance Conjecture in Schatten Balls

On the geometry of polytopes generated by heavy-tailed random vectors

Random polytopes obtained by matrices with heavy-tailed entries

Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets

On the interval of fluctuation of the singular values of random matrices

On the expectation of operator norms of random matrices

Inverse Littlewood–Offord Problems for Quasi-norms

Functional Versions of Lp-Affine Surface Area and Entropy Inequalities

Small Ball Estimates for Quasi-Norms

Concentration phenomena in high dimensional geometry

The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one

Thin-shell concentration for convex measures

Restricted isometry property for random matrices with heavy-tailed columns.

Sparsity and non-Euclidean embeddings

Condition number of a square matrix with i.i.d. columns drawn from a convex body

Moment estimates for convex measures

On the symmetric average of a body

Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures

Random embedding from $\ell_p^n$ into $\ell_r^N$

On the isotropic constant of random polytopes

Smallest singular value of random matrices with independent columns

Majorizing measures and proportional subsets of bounded orthonormal systems

Kahane-Khinchine type inequalities for negative exponent

Interactions between compressed sensing, random matrices, and high dimensional geometry

Concentration inequalities and geometry of convex bodies