scientific article; zbMATH DE number 1149836
From MaRDI portal
Publication:4387224
zbMath0901.52002MaRDI QIDQ4387224
Publication date: 26 November 1998
Full work available at URL: http://www.msri.org/communications/books/Book31/
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
central limit theoremnormed spacesisoperimetric problemsimplexcubeJohn's ellipsoidBrunn-Minkowski inequalityreverse isoperimetric inequalityconvex geometrycross polytopeDvoretzky's theoremPrékopa-Leindler inequalityBusemann's theoremspherical sections
Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)
Related Items
On the Joint Spectral Radius, Helly-type theorems for the diameter, Lower dimensional ellipsoids of maximal volume in convex bodies, On the Carathéodory number for strong convexity, On a posteriori error estimation using distances between numerical solutions and angles between truncation errors, Multidimensional Geometry, Functions of Very Many Variables, and Probability, Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases, Lower bounds for non-convex stochastic optimization, LARGE SIGNED SUBSET SUMS, On some variational problems involving capacity, torsional rigidity, perimeter and measure, General stochastic separation theorems with optimal bounds, Quantum Brascamp-Lieb dualities, An elementary introduction to the geometry of quantum states with pictures, Unnamed Item, Some extremal problems for polygons in the Euclidean plane, Entropy collapse versus entropy rigidity for Reeb and Finsler flows, Quantitative Helly-type theorems via sparse approximation, A nearly tight lower bound for the \(d\)-dimensional cow-path problem, The \(L_p\) John ellipsoids for negative indices, Approximate Polytope Membership Queries, Perfect and almost perfect homogeneous polytopes, Quantum thermodynamics and canonical typicality, On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures, Concentration of the Intrinsic Volumes of a Convex Body, Metric and classical fidelity uncertainty relations for random unitary matrices, Semidefinite Approximation of Closed Convex Set, Unnamed Item, A COUNTEREXAMPLE TO A CONJECTURE OF LARMAN AND ROGERS ON SETS AVOIDING DISTANCE 1, A Friendly Smoothed Analysis of the Simplex Method, Sampling Hypersurfaces through Diffusion, Structure from Randomness in Halfspace Learning with the Zero-One Loss, Sample-Based High-Dimensional Convexity Testing., Blessing of dimensionality: mathematical foundations of the statistical physics of data, Diophantine approximation on Veech surfaces, Sums of Squares and Sparse Semidefinite Programming, Push forward measures and concentration phenomena, On Minkowski constants of Veech surfaces, p ‐nuclear operators in the sense of Grothendieck, On Hölder-continuity of Oseledets subspaces, Conic version of Loewner-John ellipsoid theorem, A deterministic rescaled perceptron algorithm, Estimation in High Dimensions: A Geometric Perspective, Proof of a conjecture of Bárány, Katchalski and Pach, About the centroid blody and the ellipsoid of inertia, Mixed Integer Linear Programming Formulation Techniques, A Remark on the Distribution of Values for Functions of a Large Number of Variables, Unnamed Item, Extremal convex bodies for affine measures of symmetry, Evolvability of Real Functions, Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian, Quasiconformal parametrization of metric surfaces with small dilatation, Geometry and Probability, One-bit compressed sensing via ℓ p (0 < p < 1)-minimization method, A Mélange of Diameter Helly-Type Theorems, The john theorem for simplex, Economical Delone Sets for Approximating Convex Bodies, Surjective isometries of metric geometries, The Grazing Goat and Spherical Curiosities, On Properties of a Regular Simplex Inscribed into a Ball, Gradient-free two-point methods for solving stochastic nonsmooth convex optimization problems with small non-random noises, Wilkinson's bus: weak condition numbers, with an application to singular polynomial eigenproblems, Area minimizing surfaces of bounded genus in metric spaces, Covering convex bodies by cylinders and lattice points by flats, Entropies from coarse-graining: convex polytopes vs. ellipsoids, Restricted risk measures and robust optimization, The weighted Fourier inequality, polarity, and reverse Hölder inequality, The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold, The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite, A guideline to study the feasibility domain of multi-trophic and changing ecological communities, Intervention with limited information, On the vertex index of convex bodies, Min-up/min-down polytopes, Ball, sphere, and all, all, all, Around the Danzer problem and the construction of dense forests, Irreversibility from staircases in symplectic embeddings, Many empty triangles have a common edge, Two geometric interpretations of the multidimensional Hardy uncertainty principle, Optimal ellipsoids and decomposition of positive definite matrices, A multivariate Gnedenko law of large numbers, Energy and area minimizers in metric spaces, Measuring centrality and dispersion in directional datasets: the ellipsoidal cone covering approach, On the width of transitive sets: bounds on matrix coefficients of finite groups, Towards understanding sparse filtering: a theoretical perspective, On the volume of unit balls of finite-dimensional Lorentz spaces, Bracketing numbers of convex and \(m\)-monotone functions on polytopes, Completeness and incompleteness of the Binet-Legendre metric, Extended formulations in mixed integer conic quadratic programming, Approximation scheme for the problem of weighted 2-clustering with a fixed center of one cluster, On contact numbers of totally separable unit sphere packings, Mean width inequalities for isotropic measures, Extremal problems related to Gauss-John position, The floating body and the hyperplane conjecture, Statistical hyperbolicity in groups., A geometric algorithm for winding number computation with complexity analysis, Image labeling by assignment, Flat forms in Banach spaces, Accuracy of approximations of solutions to Fredholm equations by kernel methods, On the extremal distance between two convex bodies, Lower bounds for finding stationary points I, Polytopal approximation of elongated convex bodies, New affine measures of symmetry for convex bodies, One-trial correction of legacy AI systems and stochastic separation theorems, Fast construction of correcting ensembles for legacy artificial intelligence systems: algorithms and a case study, Stability of the Blaschke-Santaló and the affine isoperimetric inequality, Colorful Helly-type theorems for the volume of intersections of convex bodies, On approximation by projections of polytopes with few facets, Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport, The complexity of some topological inference problems, A flexible theoretical representation for the temporal dynamics of structured populations as paths on polytope complexes, Quantitative fractional Helly and \((p,q)\)-theorems, Functional Löwner ellipsoids, On the symmetry function of a convex set, Universal gaps for XOR games from estimates on tensor norm ratios, Area minimizing discs in metric spaces, On orthogonal projections for dimension reduction and applications in augmented target loss functions for learning problems, Inverse Littlewood-Offord problems for quasi-norms, Near-optimal stochastic approximation for online principal component estimation, On the approximation of convex bodies by ellipses with respect to the symmetric difference metric, On the asymptotics of the principal moments of inertia of a convex body in the isotropic state, Inscribed and circumscribed ellipsoidal cones: volume ratio analysis, An upper bound for permanents of nonnegative matrices, Constructing processes with prescribed mixing coefficients, The critical window for the classical Ramsey-Turán problem, An extension of a theorem of Yao and Yao, On isoperimetric inequalities in Minkowski spaces, Bourgain's discretization theorem, Stability of some versions of the Prékopa-Leindler inequality, The Banach-Mazur distance to the cube in low dimensions, On graph parameters guaranteeing fast sandpile diffusion, Brascamp-Lieb inequality for positive double John basis and its reverse, The stability of the Rogers-Shephard inequality and of some related inequalities, A comparison principle for functions of a uniformly random subspace, Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes, How close is the sample covariance matrix to the actual covariance matrix?, On the upper bound for the expectation of the norm of a vector uniformly distributed on the sphere and the phenomenon of concentration of uniform measure on the sphere, Approximation with random bases: pro et contra, New estimates for convex layer numbers, Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces, The symmetric property \((\tau )\) for the Gaussian measure, A direct proof of the functional Santaló inequality, Quantitative combinatorial geometry for concave functions, From affine Poincaré inequalities to affine spectral inequalities, Stochastic separation theorems, On a question of A. Koldobsky, On the concentration of measure and the \(L^1\)-norm, Analyzing differentiable fuzzy logic operators, Best approximation of functions by log-polynomials, Relaxing high-dimensional constraints in the direct solution space method for early phase development, On the sample-mean method for computing hyper-volumes, An extension of Minkowski's theorem and its applications to questions about projections for measures, Extremal norms for fiber-bunched cocycles, Approximation of the average of some random matrices, Some implications of interval approach to dimension for network complexity, The norm of linear extension operators for \(C^{m-1,1}(\mathbb{R}^n)\), Streaming algorithms for extent problems in high dimensions, Randomized interior point methods for sampling and optimization, Large equilateral sets in subspaces of \(\ell_\infty^n\) of small codimension, Functional John ellipsoids, On the stability of Brunn-Minkowski type inequalities
