Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting)
From MaRDI portal
Publication:2693056
DOI10.4171/OWR/2021/59zbMath1506.00039MaRDI QIDQ2693056
No author found.
Publication date: 17 March 2023
Published in: Oberwolfach Reports (Search for Journal in Brave)
Analysis of algorithms and problem complexity (68Q25) Geometric probability and stochastic geometry (60D05) Proceedings of conferences of miscellaneous specific interest (00B25) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry (52-06) General convexity (52Axx)
Cites Work
- Carousels, Zindler curves and the floating body problem
- Volume in terms of concurrent cross-sections
- Equivalence of the local and global versions of the \(L^p\)-Brunn-Minkowski inequality
- A new affine invariant for polytopes and Schneider’s projection problem
- MORE ON LOGARITHMIC SUMS OF CONVEX BODIES
- Minkowski valuations on $L^{p}$-spaces
- An asymmetric convex body with maximal sections of constant volume
- Superconcentration and Related Topics
- On the convex hull of a space curve
- The Convex Hull of a Variety
- The Scottish Book
- Gaussian Brunn-Minkowski inequalities
- Valuations on Lp-Spaces
- Symmetrization in Analysis
- The Centro-Affine Hadwiger Theorem
- Curvature Measures
- Applications of a Result on Spherical Integration to the Theory of Convex Sets
- Symétrisation dans l'espace de Gauss.
- Floating Body Problems in Two Dimensions
- Intersection bodies and valuations
- A characterization of Lp intersection bodies
- Floating Bodies of Equilibrium
- FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES
- STABILITY OF THE PRÉKOPA–LEINDLER INEQUALITY
- Cube Slicing in R n
- Zonoids with Minimal Volume-Product--A New Proof
- Symmetrization with Equal Dirichlet Integrals
- The best constants in the Khintchine inequality
- Polar factorization and monotone rearrangement of vector‐valued functions
- How Things Float
- Slicing the Cube in R n and Probability (Bounds for the Measure of a Central Cube Slice in R n by Probability Methods)
- Bezout Inequality for Mixed Volumes
- Translation invariant valuations on quasi-concave functions
- Isotropic measures and maximizing ellipsoids: Between John and Loewner
- A note on sums of independent uniformly distributed random variables
- Neutrally Floating Objects of Density ½ in Three Dimensions
- The logarithmic Minkowski problem
- THE BETA FUNCTION OF A KNOT
- Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
- Ulam floating bodies
- On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities
- On the Poincaré Constant of Log-Concave Measures
- On a convexity property of sections of the cross-polytope
- The 𝐿_{𝑝} Aleksandrov problem for origin-symmetric polytopes
- Valuations on the Space of Quasi-Concave Functions
- On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities
- Convex Bodies The Brunn-MinkowskiTheory
- On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
- REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
- Minkowski valuations
- Centroid bodies and comparison of volumes
- Sur un problème de M. Ulam concernant l'équilibre des corps flottants
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Bézout-Type Inequality in Convex Geometry
- Monotonicity properties of optimal transportation and the FKG and related inequalities
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement
- EXPECTEDf‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE
- The art of rearranging
- Laplace transforms and valuations
- Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
- A probabilistic take on isoperimetric-type inequalities
- The log-Brunn-Minkowski inequality
- Two properties of volume growth entropy in Hilbert geometry
- Handbook of Hilbert geometry
- Minkowski areas and valuations
- Hidden structures in the class of convex functions and a new duality transform
- The chain rule as a functional equation
- Extremum problems for the cone volume functional of convex polytopes
- Hermitian integral geometry
- Harmonic analysis of translation invariant valuations
- Symmetrization in geometry
- Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
- Centroid surfaces
- Extended affine surface area
- Energy of a knot
- On Hodge-Riemann relations for translation-invariant valuations
- The number of faces of centrally-symmetric polytopes
- Convexity of \(L_p\)-intersection bodies
- Projection problems for symmetric polytopes
- Concentration of mass on convex bodies
- Valuations on manifolds and Rumin cohomology
- Convolution of convex valuations
- The concept of duality for measure projections of convex bodies
- Volume entropy of Hilbert geometries
- A mass transportation approach to quantitative isoperimetric inequalities
- A characterization of the duality mapping for convex bodies
- A refined Brunn-Minkowski inequality for convex sets
- Affine Moser-Trudinger and Morrey-Sobolev inequalities
- Rearrangements and convexity of level sets in PDE
- Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
- The simplex method. A probabilistic analysis
- Computing the volume is difficult
- A necessary and sufficient condition for rationalizability in a quasilinear context
- Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö
- Zonoide und verwandte Klassen konvexer Körper
- Unsolved problems in geometry
- Geometric algorithms and combinatorial optimization
- The Brunn-Minkowski inequality in Gauss space
- Convex set functions in d-space
- Critères de convexité et inégalités intégrales
- Blaschkes Problem der lokalen Charakterisierung von Zonoiden
- The endomorphisms of the lattice of norms in finite dimensions
- The Radon transform.
- Möbius energy of knots and unknots
- Blaschke-Santaló inequalities
- Some inequalities about mixed volumes
- The \(L^p\)-Busemann-Petty centroid inequality
- \(L_ p\) affine isoperimetric inequalities.
- Fourier transform and valuations
- On the energy landscape of the mixed even \(p\)-spin model
- The \(L_p\)-Aleksandrov problem for \(L_p\)-integral curvature
- Minkowski valuations on convex functions
- Kantorovich potentials and continuity of total cost for relativistic cost functions
- The sharp quantitative Euclidean concentration inequality
- Optimal transport with Coulomb cost and the semiclassical limit of density functional theory
- Hard Lefschetz theorem for valuations, complex integral geometry, and unitarily invariant valuations.
- Gaussian mixtures: entropy and geometric inequalities
- The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
- Isoperimetric problems for convex bodies and a localization lemma
- Some geometric results in semidefinite programming
- Existence and uniqueness of monotone measure-preserving maps
- On \(c\)-optimal random variables
- A characterization of product preserving maps with applications to a characterization of the Fourier transform
- Mixed integrals and related inequalities
- Complex analysis, operators, and related topics. The S. A. Vinogradov memorial volume
- From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
- Rearrangement and polarization
- Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
- An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
- Sharp inequalities for the mean distance of random points in convex bodies
- Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries
- Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
- A Rockafellar-type theorem for non-traditional costs
- The support of dually epi-translation invariant valuations on convex functions
- Blaschke-Santaló inequality for many functions and geodesic barycenters of measures
- Kotrbatý's theorem on valuations and geometric inequalities for convex bodies
- Symmetric Mahler's conjecture for the volume product in the \(3\)-dimensional case
- The \(L_p\)-Brunn-Minkowski inequality for \(p<1\)
- A homogeneous decomposition theorem for valuations on convex functions
- The dimensional Brunn-Minkowski inequality in Gauss space
- On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
- Convex set functions in \(d\)-space
- Valuations on convex functions and convex sets and Monge-Ampère operators
- Quantitative stability for the Brunn-Minkowski inequality
- Volume entropy of Hilbert metrics and length spectrum of Hitchin representations into \(\mathrm{PSL}(3,\mathbb{R})\)
- Embedding \(\mathbb S^n\) into \(\mathbb R^{n+1}\) with given integral Gauss curvature and optimal mass transport on \(\mathbb S^n\)
- Thin shell implies spectral gap up to polylog via a stochastic localization scheme
- The concept of duality in convex analysis, and the characterization of the Legendre transform
- Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality
- Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities
- Cone-volume measures of polytopes
- Integral geometry of complex space forms
- Structure of the unitary valuation algebra
- Volume of the polar of random sets and shadow systems
- Characterization of the subdifferentials of convex functions
- Functional equations connected with rotations and their geometric applications
- Gitterperiodische Punktmengen und Isoperimetrie
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item