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Petros Valettas
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Geometry of isotropic convex bodies
S Brazitikos, A Giannopoulos, P Valettas, BH Vritsiou
American Mathematical Soc., 2014
3522014
Random version of Dvoretzky’s theorem in
G Paouris, P Valettas, J Zinn
Stochastic Processes and their Applications 127 (10), 3187-3227, 2017
352017
A Gaussian small deviation inequality for convex functions
G Paouris, P Valettas
Annals of Probability 46 (3), 1441-1454, 2016
322016
On the existence of subgaussian directions for log-concave measures
A Giannopoulos, G Paouris, P Valettas
Contemporary Mathematics 545, 103-122, 2011
232011
Variance estimates and almost Euclidean structure
G Paouris, P Valettas
Advances in Geometry, 2017
172017
On the distribution of the -norm of linear functionals on isotropic convex bodies
A Giannopoulos, G Paouris, P Valettas
Geometric aspects of functional analysis 2050, 227-253, 2012
172012
On the tightness of Gaussian concentration for convex functions
P Valettas
Journal d'Analyse Mathematique, 2017
152017
Dichotomies, structure, and concentration in normed spaces
G Paouris, P Valettas
Advances in Mathematics 332, 438-464, 2018
13*2018
On the geometry of log-concave probability measures with bounded log-Sobolev constant
P Stavrakakis, P Valettas
Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute …, 2013
122013
On Dvoretzky's theorem for subspaces of
G Paouris, P Valettas
Journal of Functional Analysis 275 (8), 2225-2252, 2015
112015
Inequalities for the surface area of projections of convex bodies
A Giannopoulos, A Koldobsky, P Valettas
Canadian Journal of Mathematics, 2016
102016
Neighborhoods on the Grassmannian of marginals with bounded isotropic constant
G Paouris, P Valettas
Journal of Functional Analysis 267 (9), 3427-3443, 2014
102014
-estimates for marginals of log-concave probability measures
A Giannopoulos, G Paouris, P Valettas
Proceedings of the American Mathematical Society 140 (4), 1297-1308, 2012
8*2012
On a quantitative reversal of Alexandrov's inequality
G Paouris, P Pivovarov, P Valettas
Transactions of the American Mathematical Society, 2017
72017
Gaussian convex bodies: a non-asymptotic approach
G Paouris, P Pivovarov, P Valettas
Zapiski Nauchnyh Seminarov POMI 457, 286-316, 2017
42017
Distances between classical positions of centrally symmetric convex bodies
E Markessinis, P Valettas
Houston Journal of Mathematics 41 (1), 187-211, 2015
42015
Hypercontractivity and lower deviation estimates in normed spaces
G Paouris, K Tikhomirov, P Valettas
The Annals of Probability 50 (2), 688-734, 2022
22022
Concentration estimates for functions of finite high‐dimensional random arrays
P Dodos, K Tyros, P Valettas
Random Structures & Algorithms 63 (4), 997-1053, 2023
12023
Decompositions of finite high-dimensional random arrays
P Dodos, K Tyros, P Valettas
arXiv preprint arXiv:2102.11102, 2021
12021
On the clustering of Pad\'e zeros and poles of random power series
S Dostoglou, P Valettas
arXiv preprint arXiv:2401.11532, 2024
2024
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