Suivre
Arnaud Marsiglietti
Titre
Citée par
Citée par
Année
On the stability of Brunn–Minkowski type inequalities
A Colesanti, GV Livshyts, A Marsiglietti
Journal of Functional Analysis 273 (3), 1120-1139, 2017
552017
A lower bound on the differential entropy of log-concave random vectors with applications
A Marsiglietti, V Kostina
Entropy 20 (3), 185, 2018
492018
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
442017
Variants of the entropy power inequality
SG Bobkov, A Marsiglietti
IEEE Transactions on Information Theory 63 (12), 7747-7752, 2017
372017
The convexification effect of Minkowski summation
M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch
EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018
352018
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
302018
On the improvement of concavity of convex measures
A Marsiglietti
Proceedings of the American Mathematical Society 144 (2), 775-786, 2016
272016
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
232022
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
192020
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
192014
Do Minkowski averages get progressively more convex?
M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch
Comptes Rendus. Mathématique 354 (2), 185-189, 2016
172016
A note on the convex infimum convolution inequality
N Feldheim, A Marsiglietti, P Nayar, J Wang
142018
Geometric and functional inequalities for log-concave probability sequences
A Marsiglietti, J Melbourne
Discrete & Computational Geometry 71 (2), 556-586, 2024
132024
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
102015
Concentration inequalities for ultra log-concave distributions
H Aravinda, A Marsiglietti, J Melbourne
arXiv preprint arXiv:2104.05054, 2021
92021
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
92018
Borell's generalized Pr\'ekopa-Leindler inequality: A simple proof
A Marsiglietti
arXiv preprint arXiv:1509.06444, 2015
92015
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
72018
Entropic CLT for smoothed convolutions and associated entropy bounds
SG Bobkov, A Marsiglietti
International Mathematics Research Notices 2020 (21), 8057-8080, 2020
62020
Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities. Geometric Aspects of Functional Analysis Israel Seminar …
J Li, A Marsiglietti, J Melbourne
Lecture Notes in Mathematics 2262, 2020
62020
Le système ne peut pas réaliser cette opération maintenant. Veuillez réessayer plus tard.
Articles 1–20