Publications

Piotr Nayar

Number of publications: 34

2023

• Alexandros Eskenazis, Piotr Nayar , Tomasz Tkocz, Distributional stability of the Szarek and Ball inequalities, Mathematische Annalen, 2023, p. 1-25. See in PBN
• Maciej Białobrzeski, Piotr Nayar , Rényi Entropy and Variance Comparison for Symmetric Log-Concave Random Variables, IEEE Transactions on Information Theory, 69 (6) 2023, p. 3431-3438. See in PBN

2022

• Giulio Morina, Krzysztof Łatuszyński, Piotr Nayar , Alex Wendland, From the Bernoulli factory to a dice enterprise via perfect sampling of Markov chains, ANNALS OF APPLIED PROBABILITY, 32 (1) 2022, p. 327-359. See in PBN
• Giorgos Chasapis, Tomasz Tkocz, Piotr Nayar , Slicing ℓp-balls reloaded: Stability, planar sections in ℓ1, Annals of Probability, 50 (6) 2022, p. 2344-2372. See in PBN

2021

• Iwona Chlebicka , Piotr Nayar , Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021. See in PBN
• Alex Havrilla, Tomasz Tkocz, Piotr Nayar , Khinchin-Type Inequalities via Hadamard’s Factorisation, International Mathematics Research Notices, 2021. See in PBN
• Mokshay Madiman, Piotr Nayar , Tomasz Tkocz, Sharp Moment-Entropy Inequalities and Capacity Bounds for Symmetric Log-Concave Distributions, IEEE Transactions on Information Theory, 67 (1) 2021, p. 81-94. See in PBN
• Maciej Bartczak, Piotr Nayar , Szymon Zwara, Sharp Variance-Entropy Comparison for Nonnegative Gaussian Quadratic Forms, IEEE Transactions on Information Theory, 67 (12) 2021, p. 7740-7751. See in PBN

2020

• Aline Bonami, Piotr Nayar , Tomasz Tkocz, Rafał Latała , Bounds on Moments of Weighted Sums of Finite Riesz Products, Journal of Fourier Analysis and Applications, 26 (6) 2020, p. 84. See in PBN
• M. D. Korzec, Piotr Nayar , Piotr Rybka , Correction to: Global Attractors of Sixth Order PDEs Describing the Faceting of Growing Surfaces, Journal of Dynamics and Differential Equations, 32 (3) 2020, p. 1577-1578. See in PBN
• Piotr Nayar , Rafał Latała , Hadamard products and moments of random vectors, Advances in Mathematics, 375 2020, p. 107414. See in PBN
• Piotr Nayar , Tomasz Tkocz, On a convexity property of sections of the cross-polytope, Proceedings of the American Mathematical Society, 148 (3) 2020, p. 1271-1278. See in PBN

2019

• Mokshay Madiman, Piotr Nayar , Tomasz Tkocz, On the question of the best additive noise among symmetric log-concave noises, 2019 IEEE International Symposium on Information Theory, Paris, France, 7 July 2019 - 12 July 2019. See in PBN

2018

• Piotr Nayar , Tomasz Tkocz, A multidimensional analogue of the Rademacher-Gaussian tail comparison, Proceedings of the American Mathematical Society, 146 (1) 2018, p. 413-419. See in PBN
• Naomi Feldheim, Arnaud Marsiglietti, Piotr Nayar , Jing Wang, A note on the convex infimum convolution inequality, BERNOULLI, 24 (1) 2018, p. 257-270. See in PBN
• Alexandros Eskenazis, Piotr Nayar , Tomasz Tkocz, Gaussian mixtures: entropy and geometric inequalities, Annals of Probability, 2018. See in PBN
• Alexandros Eskenazis, Piotr Nayar , Tomasz Tkocz, Sharp comparison of moments and the log-concave moment problem, Advances in Mathematics, 2018. See in PBN

2017

• Galyna Livshyts, Arnaud Marsiglietti, Piotr Nayar , Artem Zvavitch, On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities, Transactions of the American Mathematical Society, 369 (3) 2017, p. 8725-8742. See in PBN

2016

• Keith Ball, Piotr Nayar , Tomasz Tkocz, A reverse entropy power inequality for log-concave random vectors, Studia Mathematica, 2016. See in PBN

2015

• Ewa Damek, Rafał Latała , Piotr Nayar , Tomasz Tkocz, Two-sided bounds for L_p-norms of combinations of products of independent random variables, Stochastic Processes and their Applications, 2015. See in PBN

2014

• Piotr Nayar , Tomasz Tkocz, A note on certain convolution operators, GAFA, Lecture Notes in Mathematics Vol. 2116/2014, 2014. See in PBN
• Piotr Nayar , Barbara Pilat, A note on the rational cuspidal curves, Bulletin of the Polish Academy of Sciences. Mathematics, 2014. See in PBN
• Olivier Guedon, Piotr Nayar , D. Ryabogin, Tomasz Tkocz, Artem Zvavitch, Analytical and probabilistic methods in the geometry of convex bodies, 2014. See in PBN
• Piotr Nayar , FKN theorem on the biased cube, Colloquium Mathematicum, 2014. See in PBN

2013

• Piotr Nayar , Tomasz Tkocz, A note on a Brunn-Minkowski inequality for the Gaussian measure, Proceedings of the American Mathematical Society, 2013. See in PBN
• Piotr Nayar , Tomasz Tkocz, S-inequality for certain product measures, Mathematische Nachrichten, 2013. See in PBN
• Piotr Nayar , Tomasz Tkocz, The unconditional case of the complex S-inequality, Israel Journal of Mathematics, 197 (1) 2013, p. 99–106. See in PBN

2012

• Maciej D. Korzec, Piotr Nayar , Piotr Rybka , Global Weak Solutions to a Sixth Order Cahn-Hilliard Type Equation, SIAM Journal on Mathematical Analysis, 2012. See in PBN
• Piotr Nayar , Krzysztof Oleszkiewicz , Khinchine type inequalities with optimal constants via ultra log-concavity, Positivity, 2012. See in PBN
• Piotr Nayar , Tomasz Tkocz, On a Loomis-Whitney type inequality for permutationally invariant unconditional convex bodies, GAFA, Lecture Notes in Mathematics Vol. 2050/2012, 2012. See in PBN

2009

• Piotr Nayar , On polynomially bounded harmonic functions on the Zd lattice, Bulletin of the Polish Academy of Sciences. Mathematics, 2009. See in PBN

Others

• Sergey Bobkov, Piotr Nayar , Prasad Tetali, Concentration properties of restricted measures with applications to non- Lipschitz functions, Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2014–2016, , p. 25-53. See in PBN
• Piotr Nayar , Tomasz Tkocz, Extremal sections and projections of certain convex bodies: a survey, Harmonic Analysis and Convexity, , p. 343-390. See in PBN
• Mokshay Madiman, Piotr Nayar , Tomasz Tkocz, Two Remarks on Generalized Entropy Power Inequalities, Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II, , p. 169-185. See in PBN