| On the stability of Brunn–Minkowski type inequalities A Colesanti, GV Livshyts, A Marsiglietti Journal of Functional Analysis 273 (3), 1120-1139, 2017 | 64 | 2017 |
| A lower bound on the differential entropy of log-concave random vectors with applications A Marsiglietti, V Kostina Entropy 20 (3), 185, 2018 | 51 | 2018 |
| 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 | 49 | 2017 |
| The convexification effect of Minkowski summation M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018 | 40 | 2018 |
| Variants of the entropy power inequality SG Bobkov, A Marsiglietti IEEE Transactions on Information Theory 63 (12), 7747-7752, 2017 | 38 | 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 | 33 | 2018 |
| On the improvement of concavity of convex measures A Marsiglietti Proceedings of the American Mathematical Society 144 (2), 775-786, 2016 | 28 | 2016 |
| 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 | 25 | 2022 |
| On the analogue of the concavity of entropy power in the Brunn–Minkowski theory M Fradelizi, A Marsiglietti Advances in Applied Mathematics 57, 1-20, 2014 | 20 | 2014 |
| 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 | 19 | 2020 |
| Do Minkowski averages get progressively more convex? M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch Comptes Rendus. Mathématique 354 (2), 185-189, 2016 | 18 | 2016 |
| Geometric and functional inequalities for log-concave probability sequences A Marsiglietti, J Melbourne Discrete & Computational Geometry 71 (2), 556-586, 2024 | 14 | 2024 |
| A note on the convex infimum convolution inequality N Feldheim, A Marsiglietti, P Nayar, J Wang | 14 | 2018 |
| Concentration inequalities for ultra log-concave distributions H Aravinda, A Marsiglietti, J Melbourne arXiv preprint arXiv:2104.05054, 2021 | 13 | 2021 |
| Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof A Marsiglietti arXiv preprint arXiv:1509.06444, 2015 | 11 | 2015 |
| A note on an Lp-Brunn–Minkowski inequality for convex measures in the unconditional case A Marsiglietti Pacific Journal of Mathematics 277 (1), 187-200, 2015 | 11 | 2015 |
| A Rényi entropy power inequality for log-concave vectors and parameters in [0, 1] A Marsiglietti, J Melbourne 2018 IEEE International Symposium on Information Theory (ISIT), 1964-1968, 2018 | 9 | 2018 |
| Moments, concentration, and entropy of log-concave distributions A Marsiglietti, J Melbourne arXiv preprint arXiv:2205.08293, 2022 | 8 | 2022 |
| Entropic CLT for smoothed convolutions and associated entropy bounds SG Bobkov, A Marsiglietti International Mathematics Research Notices 2020 (21), 8057-8080, 2020 | 7 | 2020 |
| On the monotonicity of Minkowski sums towards convexity M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018 | 7 | 2018 |
James MelbourneCIMATVerified email at cimat.mx