Global Weak Solutions to a Sixth Order Cahn-Hilliard Type Equation. - Maciek D. Korzec; Piotr Nayar; Piotr Rybka (SIAM J. Math. Anal., 2012)

Gaussian mixtures: entropy and geometric inequalities. - Alexandros Eskenazis; Piotr Nayar; Tomasz Tkocz (CoRR, 2016)

Entropy versus variance for symmetric log-concave random variables and related problems. - Mokshay Madiman; Piotr Nayar; Tomasz Tkocz (CoRR, 2018)

On the question of the best additive noise among symmetric log-concave noises. - Mokshay Madiman; Piotr Nayar; Tomasz Tkocz (ISIT, 2019)

Two remarks on generalized entropy power inequalities. - Mokshay Madiman; Piotr Nayar; Tomasz Tkocz (CoRR, 2019)

Sharp variance-entropy comparison for nonnegative gaussian quadratic forms. - Piotr Nayar; Szymon Zwara (CoRR, 2020)

Sharp Variance-Entropy Comparison for Nonnegative Gaussian Quadratic Forms. - Maciej Bartczak; Piotr Nayar; Szymon Zwara (IEEE Trans. Inf. Theory, 2021)

Sharp Moment-Entropy Inequalities and Capacity Bounds for Symmetric Log-Concave Distributions. - Mokshay Madiman; Piotr Nayar; Tomasz Tkocz (IEEE Trans. Inf. Theory, 2021)

Ultra-log-concavity and discrete degrees of freedom. - Piotr Nayar; Semen Slobodianiuk (CoRR, 2022)

Minimum entropy of a log-concave variable for fixed variance. - James Melbourne; Piotr Nayar; Cyril Roberto (CoRR, 2023)

Rényi Entropy and Variance Comparison for Symmetric Log-Concave Random Variables. - Maciej Bialobrzeski; Piotr Nayar (IEEE Trans. Inf. Theory, 2023)

Log-concavity and discrete degrees of freedom. - Jacek Jakimiuk; Daniel Murawski; Piotr Nayar; Semen Slobodianiuk (Discret. Math., 2024)