Sotabase

Career

· Postdoctoral Researcher, California Institute of Technology2016–2018
· Postdoctoral Researcher, University of Minnesota (IMA)2014–2016
· Assistant Professor, University of Florida

Publications (33)

On the stability of Brunn–Minkowski type inequalities
2016
64
cited
On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities
2015
56
cited
A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications
Entropy · 2017
46
cited
The convexification effect of Minkowski summation
EMS Surveys in Mathematical Sciences · 2017
37
cited
Variants of the Entropy Power Inequality
IEEE Transactions on Information Theory · 2016
37
cited
On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]
IEEE Transactions on Information Theory · 2017
36
cited
On the improvement of concavity of convex measures
2014
26
cited
Concentration functions and entropy bounds for discrete log-concave distributions
Combinatorics, probability & computing · 2020
25
cited
Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities
Lecture notes in mathematics · 2019
21
cited
Do Minkowski averages get progressively more convex
2015
17
cited
On the analogue of the concavity of entropy power in the Brunn-Minkowski theory
Advances in Applied Mathematics · 2013
17
cited
Concentration inequalities for ultra log-concave distributions
Studia Mathematica · 2021
14
cited
Geometric and Functional Inequalities for Log-Concave Probability Sequences
Discrete & Computational Geometry · 2020
13
cited
A NOTE ON AN L p -BRUNN-MINKOWSKI INEQUALITY FOR CONVEX MEASURES IN THE UNCONDITIONAL CASE
2014
11
cited
Borell’s generalized Prékopa-Leindler inequality: a simple proof
2015
11
cited
Entropic CLT for Smoothed Convolutions and Associated Entropy Bounds
International mathematics research notices · 2019
10
cited
Moments, Concentration, and Entropy of Log-Concave Distributions
arXiv.org · 2022
10
cited
A note on the convex infimum convolution inequality
2015
9
cited
A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]
International Symposium on Information Theory · 2018
9
cited
Rényi Entropy Power Inequalities for s-concave Densities
International Symposium on Information Theory · 2016
9
cited
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Arnaud Marsiglietti | Researcher Profile | Sotabase | Sotabase