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Piotr Nayar
Piotr Nayar
Verified email at mimuw.edu.pl - Homepage
Title
Cited by
Cited by
Year
Gaussian mixtures: entropy and geometric inequalities
A Eskenazis, P Nayar, T Tkocz
The Annals of Probability 46 (5), 2908-2945, 2018
602018
A note on a Brunn-Minkowski inequality for the Gaussian measure
P Nayar, T Tkocz
Proceedings of the American Mathematical Society, 4027-4030, 2013
472013
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
422017
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
382014
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
372012
Khinchine type inequalities with optimal constants via ultra log-concavity
P Nayar, K Oleszkiewicz
Positivity 16 (2), 359-371, 2012
352012
Sharp comparison of moments and the log-concave moment problem
A Eskenazis, P Nayar, T Tkocz
Advances in Mathematics 334, 389-416, 2018
342018
A reverse entropy power inequality for log-concave random vectors
K Ball, P Nayar, T Tkocz
arXiv preprint arXiv:1509.05926, 2015
342015
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
202020
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
182020
A note on the convex infimum convolution inequality
N Feldheim, A Marsiglietti, P Nayar, J Wang
Bernoulli 24 (1), 257-270, 2018
142018
Two remarks on generalized entropy power inequalities
M Madiman, P Nayar, T Tkocz
Geometric Aspects of Functional Analysis, 169-185, 2020
132020
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
122022
Slicing ℓp-balls reloaded: Stability, planar sections in ℓ1
G Chasapis, P Nayar, T Tkocz
The Annals of Probability 50 (6), 2344-2372, 2022
112022
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
92022
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
92017
The unconditional case of the complex S-inequality
P Nayar, T Tkocz
Israel Journal of Mathematics 197 (1), 99-106, 2013
82013
Resilience of cube slicing in
A Eskenazis, P Nayar, T Tkocz
arXiv preprint arXiv:2211.01986, 2022
72022
Extremal sections and projections of certain convex bodies: a survey
P Nayar, T Tkocz
arXiv preprint arXiv:2210.00885, 2022
72022
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
72021
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