Grigoris Paouris Research

On generic chaining and the smallest singular value of random matrices with heavy tails,
with S. Mendelson, preprint. [pdf]
On the approximation of a polytope by its dual L_p-centroid bodies, with E. Werner, Preprint. [pdf]
A remark on the slicing problem. with A. Giannopoulos and B-H. Vritsiou, Journal of Functional Analysis (to appear). [pdf]
On the isotropic constant of marginals. Preprint. [pdf]
Comparing the M-position with some classical positions of convex bodies, with E. Markessinis and Ch. Saroglou, Math. Proc. Cambridge Philos. Soc. (to appear). [pdf]
Estimates for the affine and dual affine quermassintegrals of convex bodies, with N. Dafnis, Illinois Journal of Mathematics, (to appear). [pdf]
A probabilistic take on isoperimetric inequalities, with P. Pivovarov, preprint. [pdf]

Isomorphic properties of intersection bodies. with A. Koldobsky and M. Zymonopoulou, J. Funct. Anal. 261 (2011), 2697-2716. [pdf]
On the distribution of the psi(2)-norm of linear functionals on isotropic convex bodies, with A. Giannopoulos and P. Valettas, GAFA Seminar Volume (to appear)[pdf]
Psi(a)-estimates for marginals of log-concave probability measures
with A. Giannopoulos and P. Valettas, Proceedings of the American Mathematical Society (to appear). [pdf]
On the existence of supergaussian directions on convex bodies, Mathematika (to appear). [pdf]
On the existence of subgaussian directions for log-concave measures
with A. Giannopoulos and P. Valettas, Contemporary Mathematics 545 (2011), 103-122. [pdf]
Relative entropy of cone measures and Lp centroid bodies
(with E. Werner), Proceedings of the London Mathematical Society, 2011; doi:
10.1112/plms/pdr030. [pdf]
Simplices in the Euclidean ball. (with M. Fradelizi and C. Schütt).
Canadian Math. Bulletin, (2011) doi:10.4153/CMB-2011-142-1. [pdf]
Small ball probability estimates, PSI_2-behavior and the hyperplane conjecture
with N.Dafnis, Journal of Functional Analysis 258 (2010), 1933-1964. [pdf]
Small ball probability estimates for log-concave measures
Trans. Amer. Math. Soc. (2012), 287-308 [pdf]
High dimensional random sections of isotropic convex bodies
(with D. Alonso-Gutierrez , J. Bastero and J. Bernues) Journal of Math. Analysis and Appl. 361, (2010)(2), 431-439. [pdf]
A stability result for mean width of L_p-centroid bodies
(with B. Fleury and O. Guedon ) Advances in Mathematics 214 (2007), 865-877. [pdf]
A note on subgaussian estimates for linear functionals on convex bodies
(with A. Giannopoulos and A. Pajor ) Proc. Amer. Math. Soc. 135 (2007), 2599-2606. [ps]
Concentration of mass in convex bodies
Geometric and Functional Analysis 16 (2006), 1021-1049 [pdf]
Concentration of mass on isotropic convex bodies
Comptes Rendus Mathematique, 342 (2006), 179-182 [ps]
Concentration of mass on the Schatten classes
(with O. Guedon ) Annales de l'Institute Henri Poincare "Probabilites et Statistiques" 43 (2007), 87-99. [pdf]
On the Psi_2 behavior of linear functionals on isotropic convex bodies
Studia Math. 168 (2005), 285-299 [ps]
Concentration of mass and central limit properties of isotropic convex bodies
133 (2005), 565-575. [ps]
Quermassintegrals of a random polytope in a convex body
(with M. Hartzoulaki,) Arch. Math. 80 (2003), [ps]
Psi_2 estimates for linear functionals on zonoids
Lecture Notes in Mathematics 1807 (2003), 211-222. [ps]
On a local version of the Aleksandrov-Fenchel inequalities for the quermassintegrals of a convex body
(with A. Giannopoulos and M. Hartzoulaki,) Proc. Amer. Math. Soc. 130 (2002), 2403-2412. [ps]
On the isotropic constant of non-symmetric convex bodies
Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics 1745 (2000), [ps]