Petros Valettas

Associate Professor, University of Missouri

PhD, May 2012
Department of Mathematics
University of Athens

Publications

On the clustering of Pade zeros and poles of random power series
with S. Dostoglou, International Mathematics Research Notices, IMRN 2025, no. 3, rnaf007.
pdf
Approximate Low-Rank Decomposition for Real Symmetric Tensors
with A. Ergur and J. Rebollo Bueno, Arnold Mathematical Journal 9 (2023), no. 4, 455-480.
pdf
Decompositions of finite high-dimensional random arrays
with P. Dodos and K. Tyros, Fundamenta Mathematicae 268 (2025), no. 2, 101–150.
pdf
Concentration estimates for functions of finite high-dimensional random arrays
with P. Dodos and K. Tyros, Random Structures & Algorithms (2023), DOI: 101002/rsa.21171.
pdf
Hypercontractivity, and lower deviation estimates in normed spaces
with G. Paouris and K. Tikhomirov, Annals of Probability 50 (2022), no. 2, 688-734.
pdf
Gaussian convex bodies: a non-asymptotic approach
with G. Paouris and P. Pivovarov, Zapiski Nauchnych Seminarov POMI 457 (2017), 286-316.
pdf
Dichotomies, structure, and concentration in normed spaces
with G. Paouris, Advances in Mathematics 332 (2018), 438-464.
pdf
On the tightness of Gaussian concentration for convex functions
Journal d’Analyse Mathematique 139 (2019), no. 1, 341-367.
pdf
Variance estimates and almost Euclidean structure
with G. Paouris, Advances in Geometry 19 (2019), 165-189.
pdf
On a quantitative reversal of Alexandrov's inequality
with G. Paouris and P. Pivovarov, Transactions of the American Mathematical Society 371 (2019), 3309-3324.
pdf
A small deviation inequality for convex functions
with G. Paouris, Annals of Probability 46 (2018), 1441-1454.
pdf
Inequalities for the surface area of projections of convex bodies
with Apostolos Giannopoulos and Alexander Koldobsky, Canadian Journal of Mathematics 70 (2018), 804-823.
pdf
On Dvoretzky's theorem for subspaces of L_p
with Grigoris Paouris, Journal of Functional Analysis 275 (2018), 2225-2252.
pdf
Random version of Dvoretzky's theorem in l_p^n
with Grigoris Paouris and Joel Zinn, Stochastic Processes and their Applications 127 (2017), 3187-3227.
pdf
Neighborhoods on the Grassmannian of marginals with bounded isotropic constant
with Grigoris Paouris, Journal of Functional Analysis 267 (2014), 3427-3443.
pdf
On the geometry of log-concave probability measures with bounded log-Sobolev constant
with Pantelis Stavrakakis, Proceedings of the Asymptotic Geometric Analysis Programme, Fields Institute Communications 68 (2013), 359-380.
pdf
Distances between classical positions of centrally symmetric convex bodies
with Eleftherios Markessinis, Houston Journal of Mathematics 41 (2015), 187-211.
pdf
On the distribution of the psi(2)-norm of linear functionals on isotropic convex bodies
with Apostolos Giannopoulos and Grigoris Paouris, in Geometric Aspects of Functional Analysis,
Lecture Notes in Mathematics 2050 (2012), 227-253.
pdf
Psi(a)-estimates for marginals of log-concave probability measures
with Apostolos Giannopoulos and Grigoris Paouris, Proceedings of the American Mathematical Society 140 (2012), 1297-1308.
pdf
On the existence of subgaussian directions for log-concave measures
with Apostolos Giannopoulos and Grigoris Paouris, Contemporary Mathematics 545 (2011), 103-122.
pdf

Geometry of isotropic convex bodies

Geometry of isotropic convex bodies
with Silouanos Brazitikos, Apostolos Giannopoulos and Beatrice-Helen Vritsiou
AMS-Mathematical Surveys and Monographs 196 (2014).

PhD Thesis

Problems in Asymptotic Geometric Analysis
University of Athens, May 2012
(in Greek, pdf)

MSc Thesis

Finite dimensional subspaces of L_p
University of Athens, May 2009
(in Greek, pdf)

Lecture Notes

Real Analysis
University of Athens, 2009
(in Greek, pdf)