| Forward and reverse entropy power inequalities in convex geometry M Madiman, J Melbourne, P Xu Convexity and concentration, 427-485, 2017 | 111 | 2017 |
| Rogozin's convolution inequality for locally compact groups M Madiman, J Melbourne, P Xu arXiv preprint arXiv:1705.00642, 2017 | 40 | 2017 |
| On the entropy power inequality for the Rényi entropy of order [0, 1] A Marsiglietti, J Melbourne IEEE Transactions on Information Theory 65 (3), 1387-1396, 2018 | 34 | 2018 |
| Concentration functions and entropy bounds for discrete log-concave distributions SG Bobkov, A Marsiglietti, J Melbourne Combinatorics, Probability and Computing 31 (1), 54-72, 2022 | 30 | 2022 |
| Hyperbolic measures on infinite dimensional spaces SG Bobkov, J Melbourne Probability Surveys 13, 57-88, 2016 | 21 | 2016 |
| Reversal of Rényi entropy inequalities under log-concavity J Melbourne, T Tkocz IEEE Transactions on Information Theory 67 (1), 45-51, 2021 | 20 | 2021 |
| Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities J Li, A Marsiglietti, J Melbourne Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 …, 2020 | 20 | 2020 |
| The differential entropy of mixtures: New bounds and applications J Melbourne, S Talukdar, S Bhaban, M Madiman, MV Salapaka IEEE Transactions on Information Theory 68 (4), 2123-2146, 2022 | 19 | 2022 |
| Strongly convex divergences J Melbourne Entropy 22 (11), 1327, 2020 | 19 | 2020 |
| Geometric and functional inequalities for log-concave probability sequences A Marsiglietti, J Melbourne Discrete & Computational Geometry 71 (2), 556-586, 2024 | 18 | 2024 |
| Concentration Inequalities for Ultra Log-Concave Distributions H Aravinda, A Marsiglietti, J Melbourne Studia Mathematica 265, 111-120, 2022 | 18 | 2022 |
| Bernoulli sums and Rényi entropy inequalities M Madiman, J Melbourne, C Roberto Bernoulli 29 (2), 1578-1599, 2023 | 15 | 2023 |
| On the geometry of consensus algorithms with application to distributed termination in higher dimension J Melbourne, G Saraswat, V Khatana, S Patel, MV Salapaka IFAC-PapersOnLine 53 (2), 2951-2956, 2020 | 15 | 2020 |
| Infinity-Rényi entropy power inequalities P Xu, J Melbourne, M Madiman 2017 IEEE International Symposium on Information Theory (ISIT), 2985-2989, 2017 | 14 | 2017 |
| Transport-majorization to analytic and geometric inequalities J Melbourne, C Roberto Journal of Functional Analysis 284 (1), 109717, 2023 | 13 | 2023 |
| A discrete complement of Lyapunov’s inequality and its information theoretic consequences J Melbourne, G Palafox-Castillo The Annals of Applied Probability 33 (6A), 4322-4340, 2023 | 12 | 2023 |
| Reverse entropy power inequalities for s-concave densities P Xu, J Melbourne, M Madiman 2016 IEEE International Symposium on Information Theory (ISIT), 2284-2288, 2016 | 12 | 2016 |
| Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality J Melbourne, C Roberto Proceedings of the American Mathematical Society 150 (8), 3595-3611, 2022 | 11 | 2022 |
| Moments, concentration, and entropy of log-concave distributions A Marsiglietti, J Melbourne arXiv preprint arXiv:2205.08293, 2022 | 11 | 2022 |
| Rearrangement and Prékopa–Leindler type inequalities J Melbourne High Dimensional Probability VIII: The Oaxaca Volume, 71-97, 2019 | 11 | 2019 |
Arnaud MarsigliettiUniversity of FloridaVerified email at ufl.edu
