On the analogue of the concavity of entropy power in the Brunn-Minkowski theory. - Matthieu Fradelizi; Arnaud Marsiglietti (Adv. Appl. Math., 2014)

A lower bound on the differential entropy for log-concave random variables with applications to rate-distortion theory. - Arnaud Marsiglietti; Victoria Kostina (ISIT, 2017)

Variants of the Entropy Power Inequality. - Sergey G. Bobkov; Arnaud Marsiglietti (IEEE Trans. Inf. Theory, 2017)

New Connections Between the Entropy Power Inequality and Geometric Inequalities. - Arnaud Marsiglietti; Victoria Kostina (ISIT, 2018)

A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]. - Arnaud Marsiglietti; James Melbourne (ISIT, 2018)

A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications. - Arnaud Marsiglietti; Victoria Kostina (Entropy, 2018)

Entropic Central Limit Theorem for Rényi Entropy. - Jiange Li; Arnaud Marsiglietti; James Melbourne (ISIT, 2019)

Rényi Entropy Power Inequalities for s-concave Densities. - Jiange Li; Arnaud Marsiglietti; James Melbourne (ISIT, 2019)

On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]. - Arnaud Marsiglietti; James Melbourne (IEEE Trans. Inf. Theory, 2019)

Moments, Concentration, and Entropy of Log-Concave Distributions. - Arnaud Marsiglietti; James Melbourne (CoRR, 2022)

Concentration functions and entropy bounds for discrete log-concave distributions. - Sergey G. Bobkov; Arnaud Marsiglietti; James Melbourne (Comb. Probab. Comput., 2022)

Geometric and Functional Inequalities for Log-Concave Probability Sequences. - Arnaud Marsiglietti; James Melbourne (Discret. Comput. Geom., 2024)

On a Conjecture of Feige for Discrete Log-Concave Distributions. - Abdulmajeed Alqasem; Heshan Aravinda; Arnaud Marsiglietti; James Melbourne (SIAM J. Discret. Math., 2024)