Gaussian mixtures: entropy and geometric inequalities A Eskenazis, P Nayar, T Tkocz The Annals of Probability 46 (5), 2908-2945, 2018 | 60 | 2018 |

A note on a Brunn-Minkowski inequality for the Gaussian measure P Nayar, T Tkocz Proceedings of the American Mathematical Society, 4027-4030, 2013 | 47 | 2013 |

On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities G Livshyts, A Marsiglietti, P Nayar, A Zvavitch Transactions of the American Mathematical Society 369 (12), 8725-8742, 2017 | 42 | 2017 |

Concentration inequalities and geometry of convex bodies O Guédon, P Nayar, T Tkocz Analytical and probabilistic methods in the geometry of convex bodies 2, 9-86, 2014 | 38 | 2014 |

Global weak solutions to a sixth order Cahn--Hilliard type equation MD Korzec, P Nayar, P Rybka SIAM Journal on Mathematical Analysis 44 (5), 3369-3387, 2012 | 37 | 2012 |

Khinchine type inequalities with optimal constants via ultra log-concavity P Nayar, K Oleszkiewicz Positivity 16 (2), 359-371, 2012 | 35 | 2012 |

Sharp comparison of moments and the log-concave moment problem A Eskenazis, P Nayar, T Tkocz Advances in Mathematics 334, 389-416, 2018 | 34 | 2018 |

A reverse entropy power inequality for log-concave random vectors K Ball, P Nayar, T Tkocz arXiv preprint arXiv:1509.05926, 2015 | 34 | 2015 |

Sharp Moment-Entropy Inequalities and Capacity Bounds for Symmetric Log-Concave Distributions M Madiman, P Nayar, T Tkocz IEEE Transactions on Information Theory 67 (1), 81-94, 2020 | 20 | 2020 |

On a convexity property of sections of the cross-polytope P Nayar, T Tkocz Proceedings of the American Mathematical Society 148 (3), 1271-1278, 2020 | 18 | 2020 |

A note on the convex infimum convolution inequality N Feldheim, A Marsiglietti, P Nayar, J Wang Bernoulli 24 (1), 257-270, 2018 | 14 | 2018 |

Two remarks on generalized entropy power inequalities M Madiman, P Nayar, T Tkocz Geometric Aspects of Functional Analysis, 169-185, 2020 | 13 | 2020 |

Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem I Chlebicka, P Nayar Mathematical Methods in the Applied Sciences 45 (14), 8503-8527, 2022 | 12 | 2022 |

Slicing ℓp-balls reloaded: Stability, planar sections in ℓ1 G Chasapis, P Nayar, T Tkocz The Annals of Probability 50 (6), 2344-2372, 2022 | 11 | 2022 |

From the Bernoulli factory to a dice enterprise via perfect sampling of Markov chains G Morina, K Łatuszyński, P Nayar, A Wendland The Annals of Applied Probability 32 (1), 327-359, 2022 | 9 | 2022 |

Concentration properties of restricted measures with applications to non-Lipschitz functions SG Bobkov, P Nayar, P Tetali Geometric Aspects of Functional Analysis, 25-53, 2017 | 9 | 2017 |

The unconditional case of the complex *S*-inequalityP Nayar, T Tkocz Israel Journal of Mathematics 197 (1), 99-106, 2013 | 8 | 2013 |

Resilience of cube slicing in A Eskenazis, P Nayar, T Tkocz arXiv preprint arXiv:2211.01986, 2022 | 7 | 2022 |

Extremal sections and projections of certain convex bodies: a survey P Nayar, T Tkocz arXiv preprint arXiv:2210.00885, 2022 | 7 | 2022 |

Sharp variance-entropy comparison for nonnegative Gaussian quadratic forms M Bartczak, P Nayar, S Zwara IEEE Transactions on Information Theory 67 (12), 7740-7751, 2021 | 7 | 2021 |