Concentration of the Intrinsic Volumes of a Convex Body
From MaRDI portal
Publication:5115965
DOI10.1007/978-3-030-46762-3_6zbMath1448.52008arXiv1810.12412OpenAlexW2899011165MaRDI QIDQ5115965
Martin Lotz, Ivan Nourdin, Michael B. McCoy, Joel A. Tropp, Giovanni Peccati
Publication date: 21 August 2020
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12412
entropyconvex bodyinformation theoryintrinsic volumeconcentrationquermassintegralAlexandrov-Fenchel inequalitylog-concave distributionultra-log-concave sequence
Related Items
Concentration inequalities for ultra log-concave distributions, Concentration of information content for convex measures, On a Conjecture of Feige for Discrete Log-Concave Distributions, Vector-valued statistics of binomial processes: Berry-Esseen bounds in the convex distance, Convex hulls of stable random walks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp recovery bounds for convex demixing, with applications
- Log-concavity and strong log-concavity: a review
- Gaussian phase transitions and conic intrinsic volumes: steining the Steiner formula
- The Wills functional and Gaussian processes
- Concentration of the information in data with log-concave distributions
- Convex entropy decay via the Bochner-Bakry-Emery approach
- From Steiner formulas for cones to concentration of intrinsic volumes
- Inequalities between intrinsic volumes
- Log-concavity and the maximum entropy property of the Poisson distribution
- Das Wills'sche Funktional
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Zur Gitterpunktanzahl konvexer Mengen
- Beweis eines Funktionalsatzes für konvexe Körper
- Additive Funktionale \(k\)-dimensionaler Eikörper. I
- Optimal Concentration of Information Content for Log-Concave Densities
- Curvature Measures
- Volume Ratios and a Reverse Isoperimetric Inequality
- Stochastic and Integral Geometry
- On the Maximum Entropy Properties of the Binomial Distribution
- Non-linear angle-sum relations for polyhedral cones and polytopes
- Processus gaussiens et volumes mixtes
- On a quantitative reversal of Alexandrov’s inequality
- Living on the edge: phase transitions in convex programs with random data
- Mixed volumes and the Bochner method
- Asymptotic Geometric Analysis, Part I
- Random Fields and Geometry
- Convex and Discrete Geometry
- Convex Bodies The Brunn-MinkowskiTheory