Petros Valettas

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All published works

Action	Title	Year	Authors
+	On the Clustering of Padé Zeros and Poles of Random Power Series	2025	Stamatis Dostoglou Petros Valettas
+	Decompositions of finite high-dimensional random arrays	2024	Pandelis Dodos Konstantinos Tyros Petros Valettas
+	On the clustering of Padé zeros and poles of random power series	2024	Stamatis Dostoglou Petros Valettas
+	Approximate Real Symmetric Tensor Rank	2023	Alperen A. Ergür Jesus Rebollo Bueno Petros Valettas
+ PDF Chat	Concentration estimates for functions of finite high‐dimensional random arrays	2023	Pandelis Dodos Konstantinos Tyros Petros Valettas
+ PDF Chat	Hypercontractivity and lower deviation estimates in normed spaces	2022	Grigoris Paouris Konstantin Tikhomirov Petros Valettas
+	Approximate Real Symmetric Tensor Rank	2022	Alperen A. Ergür Jesus Rebollo Bueno Petros Valettas
+	Concentration estimates for functions of finite high-dimensional random arrays	2021	Pandelis Dodos Konstantinos Tyros Petros Valettas
+	Decompositions of finite high-dimensional random arrays	2021	Pandelis Dodos Konstantinos Tyros Petros Valettas
+ PDF Chat	On the tightness of Gaussian concentration for convex functions	2019	Petros Valettas
+ PDF Chat	Variance estimates and almost Euclidean structure	2019	Grigoris Paouris Petros Valettas
+	Gaussian Convex Bodies: a Nonasymptotic Approach	2019	Grigoris Paouris Peter Pivovarov Petros Valettas
+	Hypercontractivity and Lower Deviation Estimates in Normed Spaces	2019	Grigoris Paouris Konstantin Tikhomirov Petros Valettas
+ PDF Chat	On Dvoretzky's theorem for subspaces of L	2018	Grigoris Paouris Petros Valettas
+	Dichotomies, structure, and concentration in normed spaces	2018	Grigoris Paouris Petros Valettas
+ PDF Chat	A Gaussian small deviation inequality for convex functions	2018	Grigoris Paouris Petros Valettas
+	On a quantitative reversal of Alexandrov’s inequality	2017	Grigoris Paouris Peter Pivovarov Petros Valettas
+	Dichotomies, structure, and concentration results	2017	Grigoris Paouris Petros Valettas
+	Dichotomies, structure, and concentration in normed spaces	2017	Grigoris Paouris Petros Valettas
+	On the tightness of Gaussian concentration for convex functions	2017	Petros Valettas
+	Variance estimates and almost Euclidean structure	2017	Grigoris Paouris Petros Valettas
+	Random version of Dvoretzky’s theorem in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math>	2017	Grigoris Paouris Petros Valettas Joel Zinn
+	On a quantitative reversal of Alexandrov's inequality	2017	Grigoris Paouris Peter Pivovarov Petros Valettas
+ PDF Chat	Inequalities for the Surface Area of Projections of Convex Bodies	2017	Apostolos Giannopoulos Alexander Koldobsky Petros Valettas
+	On the tightness of Gaussian concentration for convex functions	2017	Petros Valettas
+	Dichotomies, structure, and concentration in normed spaces	2017	Grigoris Paouris Petros Valettas
+	On a quantitative reversal of Alexandrov's inequality	2017	Grigoris Paouris Peter Pivovarov Petros Valettas
+	Variance estimates and almost Euclidean structure	2017	Grigoris Paouris Petros Valettas
+	A small deviation inequality for convex functions	2016	Grigoris Paouris Petros Valettas
+	A Gaussian small deviation inequality for convex functions	2016	Grigoris Paouris Petros Valettas
+	A Gaussian small deviation inequality for convex functions	2016	Grigoris Paouris Petros Valettas
+	On Dvoretzky's theorem for subspaces of $L_p$	2015	Grigoris Paouris Petros Valettas
+	On Dvoretzky's theorem for subspaces of $L_p$	2015	Grigoris Paouris Petros Valettas
+ PDF Chat	Neighborhoods on the Grassmannian of marginals with bounded isotropic constant	2014	Grigoris Paouris Petros Valettas
+ PDF Chat	Geometry of Isotropic Convex Bodies	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Background from asymptotic convex geometry	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Kannan-Lovász-Simonovits conjecture	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Information theory and the hyperplane conjecture	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Central limit problem and the thin shell conjecture	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+ PDF Chat	Approximating the covariance matrix	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+ PDF Chat	Isotropic log-concave measures	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Random polytopes in isotropic convex bodies	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Infimum convolution inequalities and concentration	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Hyperplane conjecture and Bourgain’s upper bound	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou
+	Neighborhoods on the Grasmannian of marginals with bounded isotropic constant	2014	Grigoris Paouris Petros Valettas
+	On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant	2013	Pantelis Stavrakakis Petros Valettas
+	On the Distribution of the ψ2-Norm of Linear Functionals on Isotropic Convex Bodies	2012	Apostolos Giannopoulos Grigoris Paouris Petros Valettas
+ PDF Chat	$𝜓_{𝛼}$-estimates for marginals of log-concave probability measures	2011	Apostolos Giannopoulos Grigoris Paouris Petros Valettas
+	On the existence of subgaussian directions for log-concave measures	2011	Apostolos Giannopoulos Grigoris Paouris Petros Valettas

Common Coauthors

Coauthor	Papers Together
Grigoris Paouris	26
Apostolos Giannopoulos	14
Silouanos Brazitikos	10
Beatrice-Helen Vritsiou	10
Peter Pivovarov	4
Pandelis Dodos	4
Konstantinos Tyros	4
Jesus Rebollo Bueno	2
Stamatis Dostoglou	2
Konstantin Tikhomirov	2
Alperen A. Ergür	2
Pantelis Stavrakakis	1
Joel Zinn	1
Alexander Koldobsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Small ball probability and Dvoretzky’s Theorem	2007	Bo’az Klartag Roman Vershynin	15
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux	14
+	Averages of norms and quasi-norms	1998	Alexander E. Litvak Vitali Milman Gideon Schechtman	12
+	Some inequalities for Gaussian processes and applications	1985	Y. Gordon	11
+	Random version of Dvoretzky’s theorem in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math>	2017	Grigoris Paouris Petros Valettas Joel Zinn	11
+	Probabilistic methods in the geometry of Banach spaces	1986	Gilles Pisier	9
+ PDF Chat	Asymptotic Theory of Finite Dimensional Normed Spaces	1986	Vitali Milman Gideon Schechtman	9
+ PDF Chat	Small ball probability estimates in terms of width	2005	Rafał Latała Krzysztof Oleszkiewicz	9
+	A Remark on the Median and the Expectation of Convex Functions of Gaussian Vectors	1994	Stanisław Kwapień	8
+	Two observations regarding embedding subsets of Euclidean spaces in normed spaces	2004	Gideon Schechtman	8
+ PDF Chat	The dimension of almost spherical sections of convex bodies	1977	T. Figiel Joram Lindenstrauss Vitali Milman	7
+	Absolute and Unconditional Convergence in Normed Linear Spaces	1950	A Dvoretzky C. Rogers	7
+ PDF Chat	A Gaussian small deviation inequality for convex functions	2018	Grigoris Paouris Petros Valettas	7
+	A geometric inequality and a low 𝑀-estimate	2004	Bo’az Klartag	7
+	Superconcentration and Related Topics	2014	Sourav Chatterjee	7
+	Small ball probability estimates for log-concave measures	2011	Grigoris Paouris	7
+	Global versus local asymptotic theories of finite-dimensional normed spaces	1997	Vitali Milman Gideon Schechtman	6
+	Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space	2006	Vitali Milman Alain Pajor	6
+	The Volume of Convex Bodies and Banach Space Geometry	1989	Gilles Pisier	6
+	The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems	2004	Dario Cordero–Erausquin Matthieu Fradelizi B. Maurey	6
+	Asymptotic Geometric Analysis	2013	Monika Ludwig Vitali Milman Vladimir Pestov Nicole Tomczak-Jaegermann	6
+	Asymptotic Geometric Analysis, Part I	2015	Shiri Artstein-Avidan Apostolos Giannopoulos Vitali Milman	6
+	Convex set functions ind-space	1975	Christer Borell	5
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	5
+ PDF Chat	Volume Ratios and a Reverse Isoperimetric Inequality	1991	Keith Ball	5
+ PDF Chat	Hypercontractive Measures, Talagrand’s Inequality, and Influences	2012	Dario Cordero–Erausquin Michel Ledoux	5
+	The Brunn-Minkowski inequality in Gauss space	1975	Christer Borell	5
+ PDF Chat	On Russo's Approximate Zero-One Law	1994	Michel Talagrand	5
+	An inequality for the multivariate normal distribution	1982	Louis H. Y. Chen	5
+ PDF Chat	Concentration of mass on convex bodies	2006	Grigoris Paouris	5
+ PDF Chat	Logarithmically concave functions and sections of convex sets in $R^{n}$	1988	Keith Ball	4
+ PDF Chat	Some deviation inequalities	1991	B. Maurey	4
+	On the distribution of polynomials on high dimensional convex sets	1991	Jean Bourgain	4
+	Extensions of Lipschitz mappings into a Hilbert space	1984	William B. Johnson Joram Lindenstrauss	4
+ PDF Chat	Variance estimates and almost Euclidean structure	2019	Grigoris Paouris Petros Valettas	4
+ PDF Chat	Geometric Aspects of Functional Analysis	1991	Joram Lindenstrauss Vitali Milman	4
+ PDF Chat	Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases	2017	Konstantin Tikhomirov	4
+	Asymptotic Theory of Finite Dimensional Normed Spaces	1986		4
+	ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES	2011	Grigoris Paouris	4
+ PDF Chat	Geometry of Isotropic Convex Bodies	2014	Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou	4
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	4
+ PDF Chat	Small-Ball Probabilities for the Volume of Random Convex Sets	2013	Grigoris Paouris Peter Pivovarov	4
+	New volume ratio properties for convex symmetric bodies in ? n	1987	Jean Bourgain Vitali Milman	4
+	The Ehrhard inequality	2003	Christer Borell	4
+	On convex perturbations with a bounded isotropic constant	2006	Bo’az Klartag	4
+ PDF Chat	Finite dimensional subspaces of $L_{p}$	1978	Debra Lewis	3
+	Almost Euclidean sections in symmetric spaces and concentration of order statistics	2013	Konstantin Tikhomirov	3
+ PDF Chat	Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces	1995	Hermann König	3
+	Extremal problems and isotropic positions of convex bodies	2000	Apostolos Giannopoulos Vitali Milman	3
+	From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities	2000	Sergey G. Bobkov Michel Ledoux	3