A probabilistic take on isoperimetric-type inequalities G Paouris, P Pivovarov
Advances in Mathematics 230 (3), 1402-1422, 2012
54 2012 Small-ball probabilities for the volume of random convex sets G Paouris, P Pivovarov
Discrete & Computational Geometry 49, 601-646, 2013
53 2013 On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov
Israel Journal of Mathematics 216, 877-889, 2016
39 2016 Bounding marginal densities via affine isoperimetry S Dann, G Paouris, P Pivovarov
Proceedings of the London Mathematical Society 113 (2), 140-162, 2016
35 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
30 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
29 2014 Randomized isoperimetric inequalities G Paouris, P Pivovarov
Convexity and concentration, 391-425, 2017
26 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
15 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 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
Journal of the European Mathematical Society, 2024
6 2024 Spherical centroid bodies F Besau, T Hack, P Pivovarov, FE Schuster
American Journal of Mathematics 145 (2), 515-542, 2023
6 2023 Spherical centroid bodies F Besau, T Hack, P Pivovarov, FE Schuster
arXiv preprint arXiv:1902.10614, 2019
6 2019 Intrinsic volumes and linear contractions G Paouris, P Pivovarov
Proceedings of the American Mathematical Society, 1805-1808, 2013
6 2013 Limit theorems for the volumes of small codimensional random sections of -balls R Adamczak, P Pivovarov, P Simanjuntak
The Annals of Probability 52 (1), 93-126, 2024
5 2024 Randomized Urysohn–type inequalities T Hack, P Pivovarov
Mathematika 67 (1), 100-115, 2021
5 2021 Stochastic forms of Brunn's principle P Pivovarov, JR Bueno
arXiv preprint arXiv:2007.03888, 2020
4 2020