Discrete variants of Brunn-Minkowski type inequalities

DOI10.5802/afst.1674zbMath1477.52014arXiv1911.04392OpenAlexW3179358388MaRDI QIDQ2046375

Boaz A. Slomka, Diana Halikias, Bo'az Klartag

Publication date: 17 August 2021

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04392

zbMATH Keywords

Brunn-Minkowski inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15)

Related Items

An analytic approach to cardinalities of sumsets, On Discrete LOG-Brunn--Minkowski Type Inequalities, Brunn-Minkowski type inequalities for the lattice point enumerator, On Rogers–Shephard-type inequalities for the lattice point enumerator, Consequences and extensions of the Brunn-Minkowski theorem, On a characterization of lattice cubes via discrete isoperimetric inequalities, A discrete complement of Lyapunov's inequality and its information theoretic consequences, Geometric and functional inequalities for log-concave probability sequences, On discrete Brunn-Minkowski and isoperimetric type inequalities, On discrete \(L_p\) Brunn-Minkowski type inequalities, Entropic curvature on graphs along Schrödinger bridges at zero temperature, Bounds on the lattice point enumerator via slices and projections

Cites Work

• Unnamed Item
• Contributions to the theory of convex bodies
• Convex set functions in d-space
• Brunn-Minkowski type inequalities for the lattice point enumerator
• An inequality for the weights of two families of sets, their unions and intersections
• Percolation
• Probability on Graphs
• A Curved Brunn--Minkowski Inequality on the Discrete Hypercube, Or: What Is the Ricci Curvature of the Discrete Hypercube?
• Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
• Poisson processes and a log-concave Bernstein theorem