A probabilistic take on isoperimetric-type inequalities G Paouris, P Pivovarov Advances in Mathematics 230 (3), 1402-1422, 2012 | 45 | 2012 |

Small-ball probabilities for the volume of random convex sets G Paouris, P Pivovarov Discrete & Computational Geometry 49 (3), 601-646, 2013 | 41 | 2013 |

On sharp bounds for marginal densities of product measures G Livshyts, G Paouris, P Pivovarov Israel Journal of Mathematics 216 (2), 877-889, 2016 | 28 | 2016 |

Bounding marginal densities via affine isoperimetry S Dann, G Paouris, P Pivovarov Proceedings of the London Mathematical Society 113 (2), 140-162, 2016 | 25 | 2016 |

Volume of the polar of random sets and shadow systems D Cordero-Erausquin, M Fradelizi, G Paouris, P Pivovarov Mathematische Annalen 362 (3), 1305-1325, 2015 | 21 | 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 | 21 | 2014 |

On determinants and the volume of random polytopes in isotropic convex bodies P Pivovarov Geometriae Dedicata 149 (1), 45-58, 2010 | 20 | 2010 |

Randomized isoperimetric inequalities G Paouris, P Pivovarov Convexity and concentration, 391-425, 2017 | 16 | 2017 |

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 |

Random ball-polyhedra and inequalities for intrinsic volumes G Paouris, P Pivovarov Monatshefte für Mathematik 182 (3), 709-729, 2017 | 15 | 2017 |

Volume thresholds for Gaussian and spherical random polytopes and their duals P Pivovarov Studia Math 183 (1), 15-34, 2007 | 14 | 2007 |

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 |

Spherical centroid bodies F Besau, T Hack, P Pivovarov, FE Schuster arXiv preprint arXiv:1902.10614, 2019 | 6 | 2019 |

A stochastic Prékopa–Leindler inequality for log-concave functions P Pivovarov, J Rebollo Bueno Communications in Contemporary Mathematics 23 (02), 2050019, 2021 | 4 | 2021 |

Volume distribution and the geometry of high-dimensional random polytopes P Pivovarov | 4 | 2010 |

Gaussian convex bodies: a nonasymptotic approach G Paouris, P Pivovarov, P Valettas Journal of Mathematical Sciences 238 (4), 537-559, 2019 | 3 | 2019 |

Intrinsic volumes and linear contractions G Paouris, P Pivovarov Proceedings of the American Mathematical Society, 1805-1808, 2013 | 3 | 2013 |

Stochastic forms of Brunn's principle P Pivovarov, JR Bueno arXiv preprint arXiv:2007.03888, 2020 | 2 | 2020 |

Remarks on the Rényi 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 | 2 | 2019 |

Affine isoperimetric inequalities on flag manifolds S Dann, G Paouris, P Pivovarov arXiv preprint arXiv:1902.09076, 2019 | 2 | 2019 |