Volumes of subset Minkowski sums and the Lyusternik region

DOI10.1007/s00454-023-00606-warXiv2112.06518OpenAlexW4285455640MaRDI QIDQ6124826

Publication date: 2 April 2024

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06518

zbMATH Keywords

volume sumsets superadditive

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Additive bases, including sumsets (11B13)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A Mathematical Theory of Communication
On the analogue of the concavity of entropy power in the Brunn-Minkowski theory
Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
Do Minkowski averages get progressively more convex?
Dimensional behaviour of entropy and information
A superadditivity and submultiplicativity property for cardinalities of sumsets
A free analogue of Shannon's problem on monotonicity of entropy
An algorithmic and a geometric characterization of coarsening at random
Some inequalities about mixed volumes
The convexification effect of Minkowski summation
Moment-entropy inequalities.
Majorization and Rényi entropy inequalities via Sperner theory
One more proof of the Alexandrov-Fenchel inequality
Quantitative stability for sumsets in \(\mathbb R^n\)
Forward and reverse entropy power inequalities in convex geometry
Submodular functions and optimization.
A reverse entropy power inequality for log-concave random vectors
On the Problem of Reversibility of the Entropy Power Inequality
Entropy and set cardinality inequalities for partition-determined functions
Beyond the Entropy Power Inequality, via Rearrangements
Fractional generalizations of Young and Brunn-Minkowski inequalities
On the similarity of the entropy power inequality and the Brunn- Minkowski inequality (Corresp.)
Some inequalities satisfied by the quantities of information of Fisher and Shannon
Monotonic Decrease of the Non-Gaussianness of the Sum of Independent Random Variables: A Simple Proof
Generalized Entropy Power Inequalities and Monotonicity Properties of Information
Inequalities between mixed volumes of convex sets
Information theoretic inequalities
The Brunn-Minkowski inequality
Entropy Bounds on Abelian Groups and the Ruzsa Divergence
Combinatorial Entropy Power Inequalities: A Preliminary Study of the Stam Region
STEINER POLYNOMIALS VIA ULTRA-LOGCONCAVE SEQUENCES
Filtre moyennant et valeurs moyennes des capacités invariantes
Solution of Shannon’s problem on the monotonicity of entropy
Entropy Inequalities for Sums in Prime Cyclic Groups
Two Remarks on Generalized Entropy Power Inequalities
Mixed volumes and the Bochner method
Information Inequalities for Joint Distributions, With Interpretations and Applications
REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
On the Measure of Sum-Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik
Volume of the Minkowski sums of star-shaped sets
Weighted Brunn-Minkowski theory. I: On weighted surface area measures
Plücker-Type Inequalities for Mixed Areas and Intersection Numbers of Curve Arrangements
On the volume of the Minkowski sum of zonoids

This page was built for publication: Volumes of subset Minkowski sums and the Lyusternik region