HR job title
- Professor
- Contact Info
Paouris, Grigoris Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Research
- Teaching
- Background
- Contact
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Overview
Publications
selected publications
-
academic article
-
Paouris, G., Tikhomirov, K., & Valettas, P.
(2022).
HYPERCONTRACTIVITY AND LOWER DEVIATION ESTIMATES IN NORMED SPACES. Annals of Probability.
50(2), 688-734.
-
Koldobsky, A., Paouris, G., & Zvavitch, A.
(2022).
Measure Comparison and Distance Inequalities for Convex Bodies. 71(1), 391-407.
-
Ergur, A., Paouris, G., & Rojas, J. M.
(2021).
SMOOTHED ANALYSIS FOR THE CONDITION NUMBER OF STRUCTURED REAL POLYNOMIAL SYSTEMS. Mathematics of Computation.
90(331), 2161-2184.
-
Ergur, A. A., Paouris, G., & Rojas, J. M.
(2021).
Tropical varieties for exponential sums (vol 377, pg 863, 2020). Mathematische Annalen.
380(3-4), 2073-2077.
-
Hanin, B., & Paouris, G.
(2021).
NON-ASYMPTOTIC RESULTS FOR SINGULAR VALUES OF GAUSSIAN MATRIX PRODUCTS. GEOMETRIC AND FUNCTIONAL ANALYSIS.
31(2), 268-324.
-
Erguer, A. A., Paouris, G., & Rojas, J. M.
(2020).
Tropical varieties for exponential sums. Mathematische Annalen.
377(3-4), 863-882.
-
Neeman, J., & Paouris, G.
(2020).
An Interpolation Proof of Ehrhard's Inequality. Lecture Notes in Mathematics.
2266, 263-278.
-
Jaye, B., Livshyts, G. V., Paouris, G., & Pivovarov, P.
(2020).
Remarks on the Renyi Entropy of a Sum of IID Random Variables. IEEE TRANSACTIONS ON INFORMATION THEORY.
66(5), 2898-2903.
-
Jaye, B., Livshyts, G. V., Paouris, G., & Pivovarov, P.
(2020).
Remarks on the Rnyi Entropy of a Sum of IID Random Variables. 66, 2898-2903.
-
Koldobsky, A., Paouris, G., & Zvavitch, A.
(2019).
Measure comparison and distance inequalities for convex bodies
-
Paouris, G., Tikhomirov, K., & Valettas, P.
(2019).
Hypercontractivity and Lower Deviation Estimates in Normed Spaces
-
Paouris, G., Pivovarov, P., & Valettas, P.
(2019).
Gaussian Convex Bodies: a Nonasymptotic Approach. Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics.
238(4), 537-559.
-
Mendelson, S., & Paouris, G.
(2019).
Stable recovery and the coordinate small-ball behaviour of random vectors
-
Paouris, G., Pivovarov, P., & Valettas, P.
(2019).
ON A QUANTITATIVE REVERSAL OF ALEXANDROV'S INEQUALITY. Transactions of the American Mathematical Society.
371(5), 3309-3324.
-
Erguer, A. A., Paouris, G., & Rojas, J. M.
(2019).
Probabilistic Condition Number Estimates for Real Polynomial Systems I: A Broader Family of Distributions. Foundations of Computational Mathematics.
19(1), 131-157.
-
Dann, S., Paouris, G., & Pivovarov, P.
(2019).
Affine isoperimetric inequalities on flag manifolds
-
Paouris, G., Phillipson, K., & Rojas, J. M.
(2019).
A Faster Solution to Smale's 17th Problem I: Real Binomial Systems. abs/1901.09739, 323-330.
-
Mendelson, S., Milman, E., & Paouris, G.
(2019).
Generalized dual Sudakov minoration via dimension-reduction-a program. Studia Mathematica.
244(2), 159-202.
-
Paouris, G., & Valettas, P.
(2019).
Variance estimates and almost Euclidean structure. Advances in Geometry.
19(2), 165-189.
-
Ergr, A. A., Paouris, G., & Rojas, J. M.
(2018).
Smoothed Analysis for the Condition Number of Structured Real Polynomial Systems. abs/1809.03626.
-
Paouris, G., & Valettas, P.
(2018).
A GAUSSIAN SMALL DEVIATION INEQUALITY FOR CONVEX FUNCTIONS. Annals of Probability.
46(3), 1441-1454.
-
Paouris, G., & Valettas, P.
(2018).
Dichotomies, structure, and concentration in normed spaces. Advances in Mathematics.
332, 438-464.
-
Paouris, G., & Valettas, P.
(2018).
On Dvoretzky's theorem for subspaces of L-p. Journal of Functional Analysis.
275(8), 2225-2252.
-
Paouris, G., & Pivovarov, P.
(2017).
Randomized Isoperimetric Inequalities. Ima Volumes in Mathematics and Its Applications.
161, 391-425.
-
Paouris, G., & Pivovarov, P.
(2017).
Random ball-polyhedra and inequalities for intrinsic volumes. Monatshefte fuer Mathematik.
182(3), 709-729.
-
Paouris, G., Valettas, P., & Zinn, J.
(2017).
Random version of Dvoretzky's theorem in l(p)(n). Stochastic Processes and their Applications.
127(10), 3187-3227.
-
Dafnis, N., & Paouris, G.
(2017).
An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors. Lecture Notes in Mathematics.
2169, 107-122.
-
Dann, S., Paouris, G., & Pivovarov, P.
(2016).
Bounding marginal densities via affine isoperimetry. Proceedings of the London Mathematical Society.
113(2), 140-162.
-
Livshyts, G., Paouris, G., & Pivovarov, P.
(2016).
On sharp bounds for marginal densities of product measures. Israel Journal of Mathematics.
216(2), 877-889.
-
Cordero-Erausquin, D., Fradelizi, M., Paouris, G., & Pivovarov, P.
(2015).
Volume of the polar of random sets and shadow systems. Mathematische Annalen.
362(3-4), 1305-1325.
-
Chen, W., Dafnis, N., & Paouris, G.
(2015).
Improved Holder and reverse Holder inequalities for Gaussian random vectors. Advances in Mathematics.
280, 643-689.
-
Paouris, G., Pivovarov, P., & Zinn, J.
(2014).
A central limit theorem for projections of the cube. Probability Theory and Related Fields.
159(3-4), 701-719.
-
Paouris, G., & Valettas, P.
(2014).
Neighborhoods on the Grassmannian of marginals with bounded isotropic constant. Journal of Functional Analysis.
267(9), 3427-3443.
-
Giannopoulos, A., Paouris, G., & Vritsiou, B.
(2014).
THE ISOTROPIC POSITION AND THE REVERSE SANTALO INEQUALITY. Israel Journal of Mathematics.
203(1), 1-22.
-
Paouris, G., Pivovarov, P., & Zinn, J.
(2014).
A central limit theorem for projections of the cube. Probability Theory and Related Fields.
159(3-4), 701-719.
-
Paouris, G., & Valettas, P.
(2014).
Neighborhoods on the Grassmannian of marginals with bounded isotropic constant. Journal of Functional Analysis.
267(9), 3427-3443.
-
Mendelson, S., & Paouris, G.
(2014).
On the singular values of random matrices. Journal of the European Mathematical Society (Print).
16(4), 823-834.
-
Koldobsky, A., Paouris, G., & Zymonopoulou, M.
(2013).
Complex intersection bodies. Journal of London Mathematical Society.
88(2), 538-562.
-
Paouris, G., & Pivovarov, P.
(2013).
INTRINSIC VOLUMES AND LINEAR CONTRACTIONS. Proceedings of the American Mathematical Society.
141(5), 1805-1808.
-
Paouris, G., & Pivovarov, P.
(2013).
Small-Ball Probabilities for the Volume of Random Convex Sets. Discrete and Computational Geometry: an international journal of mathematics and computer science.
49(3), 601-646.
-
Paouris, G., & Werner, E. M.
(2013).
On the Approximation of a Polytope by its Dual L-p-centroid Bodies. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
62(1), 235-248.
-
Paouris, G.
(2012).
On the isotropic constant of marginals. Studia Mathematica.
212(3), 219-236.
-
Fradelizi, M., Paouris, G., & Schuett, C.
(2012).
Simplices in the Euclidean Ball. Canadian Mathematical Bulletin.
55(3), 498-508.
-
Paouris, G.
(2012).
ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES. Mathematika: a journal of pure and applied mathematics.
58(2), 389-408.
-
Giannopoulos, A., Paouris, G., & Valettas, P.
(2012).
$_{}$-estimates for marginals of log-concave probability measures. Proceedings of the American Mathematical Society.
140(4), 1297-1308.
-
Giannopoulos, A., Paouris, G., & Valettas, P.
(2012).
psi(alpha)-ESTIMATES FOR MARGINALS OF LOG-CONCAVE PROBABILITY MEASURES. Proceedings of the American Mathematical Society.
140(4), 1297-1308.
-
Paouris, G., & Werner, E. M.
(2012).
Relative entropy of cone measures and L-p centroid bodies. Proceedings of the London Mathematical Society.
104(2), 253-286.
-
Paouris, G., & Pivovarov, P.
(2012).
A probabilistic take on isoperimetric-type inequalities. Advances in Mathematics.
230(3), 1402-1422.
-
Giannopoulos, A., Paouris, G., & Vritsiou, B.
(2012).
A remark on the slicing problem. Journal of Functional Analysis.
262(3), 1062-1086.
-
Dafnis, N., & Paouris, G.
(2012).
ESTIMATES FOR THE AFFINE AND DUAL AFFINE QUERMASSINTEGRALS OF CONVEX BODIES. Illinois Journal of Mathematics.
56(4), 1005-1021.
-
Mendelson, S., & Paouris, G.
(2012).
On generic chaining and the smallest singular value of random matrices with heavy tails. Journal of Functional Analysis.
262(9), 3775-3811.
-
Markessinis, E., Paouris, G., & Saroglou, C. h.
(2012).
Comparing the M-position with some classical positions of convex bodies. Cambridge Philosophical Society: Mathematical Proceedings.
152(1), 131-152.
-
Giannopoulos, A., Paouris, G., & Valettas, P.
(2012).
On the Distribution of the psi(2)-Norm of Linear Functionals on Isotropic Convex Bodies. Lecture Notes in Mathematics.
2050, 227-253.
-
Paouris, G.
(2012).
SMALL BALL PROBABILITY ESTIMATES FOR LOG-CONCAVE MEASURES. Transactions of the American Mathematical Society.
364(1), 287-308.
-
Koldobsky, A., Paouris, G., & Zymonopoulou, M.
(2011).
Isomorphic properties of intersection bodies. Journal of Functional Analysis.
261(9), 2697-2716.
-
Alonso-Gutierrez, D., Bastero, J., Bernues, J., & Paouris, G.
(2010).
High dimensional random sections of isotropic convex bodies. Journal of Mathematical Analysis and Applications.
361(2), 431-439.
-
Dafnis, N., & Paouris, G.
(2010).
Small ball probability estimates, psi(2)-behavior and the hyperplane conjecture. Journal of Functional Analysis.
258(6), 1933-1964.
-
Giannopoulos, A., Pajor, A., & Paouris, G.
(2007).
A note on subgaussian estimates for linear functionals on convex bodies. Proceedings of the American Mathematical Society.
135(8), 2599-2606.
-
Fleury, B., Guedon, O., & Paouris, G.
(2007).
A stability result for mean width of L-p-centroid bodies. Advances in Mathematics.
214(2), 865-877.
-
Guedon, O., & Paouris, G.
(2007).
Concentration of mass on the Schatten classes. L'Institut Henri Poincare, Annales B: Probabilites et Statistiques.
43(1), 87-99.
-
Paouris, G.
(2006).
Concentration of mass on convex bodies. GEOMETRIC AND FUNCTIONAL ANALYSIS.
16(5), 1021-1049.
-
Paouris, G.
(2006).
Concentration of mass on isotropic convex bodies. COMPTES RENDUS MATHEMATIQUE.
342(3), 179-182.
-
Paouris, G.
(2005).
On the psi(2)-behaviour of linear functionals on isotropic convex bodies. Studia Mathematica.
168(3), 285-299.
-
Hartzoulaki, M., & Paouris, G.
(2003).
Quermassintegrals of a random polytope in a convex body. Archiv der Mathematik.
80(4), 430-438.
-
Paouris, G., Tikhomirov, K., & Valettas, P.
(2022).
HYPERCONTRACTIVITY AND LOWER DEVIATION ESTIMATES IN NORMED SPACES. Annals of Probability.
50(2), 688-734.
-
chapter
-
Paouris, G.
(2003).
-Estimates for Linear Functionals on Zonoids. Lecture Notes in Mathematics.
Geometric Aspects of Functional Analysis.
(pp. 211-222).
Springer Nature.
-
Paouris, G.
(2000).
On the isotropic constant of Non-symmetric convex bodies. Lecture Notes in Mathematics.
Geometric Aspects of Functional Analysis.
(pp. 239-243).
Springer Nature.
-
Paouris, G.
(2003).
-Estimates for Linear Functionals on Zonoids. Lecture Notes in Mathematics.
Geometric Aspects of Functional Analysis.
(pp. 211-222).
Springer Nature.
-
conference paper
-
Giannopoulos, A., Paouris, G., & Valettas, P.
(2011).
On the existence of subgaussian directions for log-concave measures. Contemporary Mathematics.
103-+.
-
Paouris, G.
(2005).
Concentration of mass and central limit properties of isotropic convex bodies. Proceedings of the American Mathematical Society.
565-575.
-
Paouris, G.
(2003).
Psi(2)-estimates for linear functionals on zonoids. Lecture Notes in Mathematics.
211-222.
-
Giannopoulos, A., Hartzoulaki, M., & Paouris, G.
(2002).
On a local version of the Aleksandrov-Fenchel inequality for the quermassintegrals of a convex body. Proceedings of the American Mathematical Society.
2403-2412.
-
Giannopoulos, A., Paouris, G., & Valettas, P.
(2011).
On the existence of subgaussian directions for log-concave measures. Contemporary Mathematics.
103-+.
-
institutional repository document
-
Foucart, S., & Paouris, G.
(2023).
Near-Optimal Estimation of Linear Functionals with Log-Concave Observation Errors
-
Adamczak, R., Paouris, G., Pivovarov, P., & Simanjuntak, P.
(2022).
From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry
-
Hanin, B., & Paouris, G.
(2020).
Non-asymptotic Results for Singular Values of Gaussian Matrix Products
-
Paouris, G., Tikhomirov, K., & Valettas, P.
(2019).
Hypercontractivity and Lower Deviation Estimates in Normed Spaces
-
Mendelson, S., & Paouris, G.
(2019).
Stable recovery and the coordinate small-ball behaviour of random vectors
-
Paouris, G., Phillipson, K., & Rojas, J. M.
(2019).
A Faster Solution to Smale's 17th Problem I: Real Binomial Systems
-
Dann, S., Paouris, G., & Pivovarov, P.
(2019).
Affine isoperimetric inequalities on flag manifolds
-
Koldobsky, A., Paouris, G., & Zvavitch, A.
(2019).
Measure comparison and distance inequalities for convex bodies
-
Jaye, B., Livshyts, G. V., Paouris, G., & Pivovarov, P.
(2019).
Remarks on the R'{e}nyi Entropy of a sum of IID random variables
-
Ergr, A. A., Paouris, G., & Rojas, J. M.
(2018).
Smoothed Analysis for the Condition Number of Structured Real Polynomial Systems
-
Paouris, G., & Valettas, P.
(2017).
Variance estimates and almost Euclidean structure
-
Paouris, G., Pivovarov, P., & Valettas, P.
(2017).
On a quantitative reversal of Alexandrov's inequality
-
Paouris, G., & Valettas, P.
(2017).
Dichotomies, structure, and concentration in normed spaces
-
Paouris, G., & Valettas, P.
(2016).
A Gaussian small deviation inequality for convex functions
-
Ergr, A. A., Rojas, J. M., & Paouris, G.
(2016).
Probabilistic Condition Number Estimates For Real Polynomial Systems I: A Broader Family Of Distributions
-
Mendelson, S., Milman, E., & Paouris, G.
(2016).
Generalized Dual Sudakov Minoration via Dimension Reduction - A Program
-
Paouris, G., & Pivovarov, P.
(2016).
Randomized isoperimetric inequalities
-
Neeman, J., & Paouris, G.
(2016).
An interpolation proof of Ehrhard's inequality
-
Dafnis, N., & Paouris, G.
(2016).
An inequality for moments of log-concave functions on Gaussian random vectors
-
Paouris, G., & Valettas, P.
(2015).
On Dvoretzky's theorem for subspaces of $L_p$
-
Dann, S., Paouris, G., & Pivovarov, P.
(2015).
Bounding marginal densities via affine isoperimetry
-
Livshyts, G., Paouris, G., & Pivovarov, P.
(2015).
On sharp bounds for marginal densities of product measures
-
Paouris, G., & Pivovarov, P.
(2015).
Random ball-polyhedra and inequalities for intrinsic volumes
-
Paouris, G., Valettas, P., & Zinn, J.
(2015).
Random version of Dvoretzky's theorem in $ell_p^n$
-
Paouris, G., & Valettas, P.
(2014).
Neighborhoods on the Grasmannian of marginals with bounded isotropic constant
-
Ergr, A., Paouris, G., & Rojas, J. M.
(2014).
Tropical Varieties for Exponential Sums
-
Chen, W., Dafnis, N., & Paouris, G.
(2013).
Improved Hlder and reverse Hlder inequalities for correlated Gaussian random vectors
-
Cordero-Erausquin, D., Fradelizi, M., Paouris, G., & Pivovarov, P.
(2013).
Volume of the polar of random sets and shadow systems
-
Paouris, G., Pivovarov, P., & Zinn, J.
(2012).
A central limit theorem for projections of the cube
-
Koldobsky, A., Paouris, G., & Zymonopoulou, M.
(2012).
Complex Intersection Bodies
-
Giannopoulos, A., Paouris, G., & Vritsiou, B.
(2011).
The isotropic position and the reverse Santal'{o} inequality
-
Mendelson, S., & Paouris, G.
(2011).
On generic chaining and the smallest singular value of random matrices with heavy tails
-
Paouris, G., & Werner, E. M.
(2011).
On the approximation of a polytope by its dual $L_{p}$-centroid bodies
-
Koldobsky, A., Paouris, G., & Zymonopoulou, M.
(2011).
Isomorphic properties of Intersection bodies
-
Giannopoulos, A., Paouris, G., & Vritsiou, B.
(2011).
A remark on the slicing problem
-
Paouris, G., & Werner, E. M.
(2009).
Relative entropy of cone measures and $L_p$ centroid bodies
-
Giannopoulos, A., Pajor, A., & Paouris, G.
(2006).
A note on subgaussian estimates for linear functionals on convex bodies
-
Foucart, S., & Paouris, G.
(2023).
Near-Optimal Estimation of Linear Functionals with Log-Concave Observation Errors
Research
principal investigator on
- AF: Medium: Collaborative Research: Arithmetic Geometry Methods in Complexity and Communication- awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2022
- Concentration, Convexity and Structure awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2020
- Career: Geometry of Measures In High Dimensions awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2017
Teaching
teaching activities
- MATH304 Linear Algebra Instructor
- MATH308 Differential Equations Instructor
- MATH323 Hnr-linear Algebra Instructor
- MATH411 Math Probability Instructor
- MATH424 Probability & Computing Instructor
- MATH489 Sptp:probability&computing Instructor
- MATH606 Theory Of Prob I Instructor
- MATH663 Seminar In Analysis Instructor
- MATH664 Seminar Applied Math Instructor
- MATH685 Directed Studies Instructor
- MATH689 Sptp: High Dim Prob & App Instructor
- MATH689 Sptp:high Dimensional Probabi Instructor
- MATH691 Research Instructor
Background
education and training
- Ph.D. in Mathematics, University of Crete - (Rethymno, Greece) 2004
- M.Sc. in Mathematics, University of Crete - (Rethymno, Greece) 1999
- B.Sc. in Mathematics, Athens University of Economics and Business - (Athens, Greece) 1998
awards and honors
Contact
first name
- Grigoris
has last name
- Paouris
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- grigoris@tamu.edu