Geometric and functional inequalities for log-concave probability sequences
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Publication:6151028
DOI10.1007/s00454-023-00528-7arXiv2004.12005OpenAlexW3105995724MaRDI QIDQ6151028
Arnaud Marsiglietti, James Melbourne
Publication date: 9 February 2024
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12005
concentration inequalitylocalization lemmafour functions theoremKrein-Milmanlog-concave probability sequence
Cites Work
- Hyperbolic measures on infinite dimensional spaces
- Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
- Displacement convexity of entropy and related inequalities on graphs
- Log-concavity and strong log-concavity: a review
- Localization for infinite-dimensional hyperbolic measures
- Gaussian phase transitions and conic intrinsic volumes: steining the Steiner formula
- Unique determination of convex lattice sets
- Concentration of the information in data with log-concave distributions
- From Steiner formulas for cones to concentration of intrinsic volumes
- Log-concavity and the maximum entropy property of the Poisson distribution
- \(q\)-weighted log-concavity and \(q\)-product theorem on the normality of posets
- Infinite log-concavity: developments and conjectures
- Concentration inequalities for s-concave measures of dilations of Borel sets and applications
- Two combinatorial applications of the Aleksandrov-Fenchel inequalities
- A discrete version of Koldobsky's slicing inequality
- Negative association of random variables, with applications
- Local dimension-free estimates for volumes of sublevel sets of analytic functions
- The extreme points of subsets of s-concave probabilities and a geometric localization theorem
- Isoperimetric problems for convex bodies and a localization lemma
- Khinchine type inequalities with optimal constants via ultra log-concavity
- Discrete variants of Brunn-Minkowski type inequalities
- Brunn-Minkowski type inequalities for the lattice point enumerator
- Lorentzian polynomials
- Thin shell implies spectral gap up to polylog via a stochastic localization scheme
- Sharp dilation-type inequalities with a fixed parameter of convexity
- A generalized localization theorem and geometric inequalities for convex bodies
- Chromatic polynomials and logarithmic concavity
- On the zeros of the generating functions of multiply positive sequences and functions
- A Brunn-Minkowski inequality for the integer lattice
- Towards a theory of negative dependence
- Unimodality, log-concavity, real-rootedness and beyond
- Negative dependence and the geometry of polynomials
- On multivariate Newton-like inequalities
- Pólya sequences, binomial convolution and the union of random sets
- Random walks in a convex body and an improved volume algorithm
- Random walks and anO*(n5) volume algorithm for convex bodies
- Kahane‐Khinchine type inequalities for negative exponent
- The Brunn-Minkowski inequality
- Gaussian Cooling and $O^*(n^3)$ Algorithms for Volume and Gaussian Volume
- A Curved Brunn--Minkowski Inequality on the Discrete Hypercube, Or: What Is the Ricci Curvature of the Discrete Hypercube?
- Logarithmic concavity of Schur and related polynomials
- Transport proofs of some discrete variants of the Prékopa-Leindler inequality
- Living on the edge: phase transitions in convex programs with random data
- The Kannan–Lovász–Simonovits conjecture
- Book Review: Geometry of isotropic convex bodies
- Convex Bodies The Brunn-MinkowskiTheory
- On Isoperimetric Constants for Log-Concave Probability Distributions
- The 𝐬-Eulerian polynomials have only real roots
- Some Results for Discrete Unimodality
- Poisson processes and a log-concave Bernstein theorem
- Khinchin-Type Inequalities via Hadamard’s Factorisation
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