A probabilistic take on isoperimetric-type inequalities G Paouris, P Pivovarov Advances in Mathematics 230 (3), 1402-1422, 2012 | 52 | 2012 |
Small-ball probabilities for the volume of random convex sets G Paouris, P Pivovarov Discrete & Computational Geometry 49, 601-646, 2013 | 50 | 2013 |
On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov Israel Journal of Mathematics 216, 877-889, 2016 | 41 | 2016 |
Bounding marginal densities via affine isoperimetry S Dann, G Paouris, P Pivovarov Proceedings of the London Mathematical Society 113 (2), 140-162, 2016 | 34 | 2016 |
Volume of the polar of random sets and shadow systems D Cordero-Erausquin, M Fradelizi, G Paouris, P Pivovarov Mathematische Annalen 362, 1305-1325, 2015 | 29 | 2015 |
A central limit theorem for projections of the cube G Paouris, P Pivovarov, J Zinn Probability Theory and Related Fields 159 (3), 701-719, 2014 | 27 | 2014 |
Randomized isoperimetric inequalities G Paouris, P Pivovarov Convexity and concentration, 391-425, 2017 | 24 | 2017 |
Volume thresholds for Gaussian and spherical random polytopes and their duals P Pivovarov Studia Math 183 (1), 15-34, 2007 | 22 | 2007 |
Random ball-polyhedra and inequalities for intrinsic volumes G Paouris, P Pivovarov Monatshefte für Mathematik 182, 709-729, 2017 | 20 | 2017 |
On determinants and the volume of random polytopes in isotropic convex bodies P Pivovarov Geometriae Dedicata 149 (1), 45-58, 2010 | 20 | 2010 |
On the volume of caps and bounding the mean-width of an isotropic convex body P Pivovarov Mathematical Proceedings of the Cambridge Philosophical Society 149 (2), 317-331, 2010 | 16 | 2010 |
A stochastic Prékopa–Leindler inequality for log-concave functions P Pivovarov, J Rebollo Bueno Communications in Contemporary Mathematics 23 (02), 2050019, 2021 | 10 | 2021 |
Spherical centroid bodies F Besau, T Hack, P Pivovarov, FE Schuster arXiv preprint arXiv:1902.10614, 2019 | 7 | 2019 |
On a quantitative reversal of Alexandrov’s inequality G Paouris, P Pivovarov, P Valettas Transactions of the American Mathematical Society 371 (5), 3309-3324, 2019 | 7 | 2019 |
From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry R Adamczak, G Paouris, P Pivovarov, P Simanjuntak arXiv preprint arXiv:2211.16263, 2022 | 6 | 2022 |
Intrinsic volumes and linear contractions G Paouris, P Pivovarov Proceedings of the American Mathematical Society, 1805-1808, 2013 | 6 | 2013 |
Randomized Urysohn–type inequalities T Hack, P Pivovarov Mathematika 67 (1), 100-115, 2021 | 5 | 2021 |
Remarks on the Renyi Entropy of a Sum of IID random variables B Jaye, GV Livshyts, G Paouris, P Pivovarov IEEE Transactions on Information Theory 66 (5), 2898-2903, 2019 | 4 | 2019 |
Gaussian convex bodies: a non-asymptotic approach G Paouris, P Pivovarov, P Valettas Записки научных семинаров ПОМИ 457 (0), 286-316, 2017 | 4 | 2017 |
Volume distribution and the geometry of high-dimensional random polytopes P Pivovarov | 4 | 2010 |