Keywords: 15A27; 17C20; 52A40; Majorization; Group majorization; Local minimizer/maximizer; Normal decomposition systems; Simple Euclidean Jordan algebras;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 51B20; secondary; 52A40; Orthogonal group; Non-transitive subgroups; Orbits; Hausdorff distance;
Keywords: primary; 60E15; secondary; 26D15; 28A25; 52A40; Khintchine inequality; Integral inequality; âpn-ball; Moment comparison; Moment problem; Log-concave function;
Keywords: primary; 52A55; 52A20; 52A38; 52A40; Convex bodies; Sections; Hyperbolic and spherical spaces; Radon transform; Spherical harmonics;
Keywords: 60G15; 39B62; 52A40; 35K65; 35B50; Ehrhard-Borell inequality; Equality cases; Gaussian measures; Gaussian Brunn-Minkowski inequalities; Degenerate parabolic equations;
Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals
Keywords: 62G30; 52A40; Order statistics; Dependent observations; Copula; Diagonal section; Empirical distribution function; Coherent systems;
Keywords: 52A40; 46A25; 46B10; Convex functions; Banach spaces; Dual Kadec-Klee property; Fixed points;
Keywords: 52A40; Wulff shape; Isotropic measure; Support subset;
Keywords: primary; 52A23; secondary; 46B06; 52A40; 60D05; Convex bodies; Isotropic position; Slicing problem; Busemann-Petty problem; Blaschke-Petkantschin formula; Random simplices; Dual affine quermassintegrals;
Keywords: 52A40; 52A20; Cone-volume measure; Subspace concentration condition; U-functional; Centro-affine inequalities; Log-Minkowski problem; Centroid; Polytope;
Keywords: primary; 52A20; 52A39; secondary; 28B20; 52A38; 52A40; Convex body; Steiner symmetrization; Schwarz symmetrization; Minkowski symmetrization; Central symmetrization;
Keywords: 52A40; Volume inequality; Reverse isoperimetric inequality; Cosine transform; Grassmann manifold; Isotropic measure; Cross measure; Ball-Barthe inequality; Mass transportation;
Keywords: 52A40; 05B20Vector sums; Steinitz theorem; Normed spaces
Keywords: 52A40; 52A20; Cone-volume measure; Subspace concentration condition; U-functional; Centro-affine inequalities; log-Minkowski problem; Lp-Minkowski problem; Centroid; Polytope;
Keywords: 52A21; 46B07; 52A40; 60D05Isotropy; Polytope; Quermaßintegral; Covering number; Projection; Diameter
Keywords: 52A40; 53C99Euclidean and hyperbolic cone-metrics; Isoperimetric inequality; Discrete conformal deformation
Keywords: 52A10; 52A35; 52A40; Unit vectors; Helly type theorem; Centrally symmetric sets; Normed planes;
Keywords: 52A40; 52B11Cone-volume measure; Subspace concentration condition; U-functional; Centro-affine inequalities; Log-Minkowski problem; Centroid; Polytope
Keywords: 52A40; 53C65; 53C44Quermassintegral; Curvature integral; Isoperimetric problem; Alexandrov–Fenchel inequality
Uniqueness of circumcenters in generalized Minkowski spaces
Keywords: primary; 52A20; secondary; 41A28; 41A52; 41A65; 52A21; 52A40; Circumball; Circumcenter; Circumradius; Generalized Minkowski space; Unit ball;
Additive colourful Carathéodory type results with an application to radii
Keywords: primary; 52A20; secondary; 52A40; Additive Helly theorem; Additive colourful Carathéodory theorem; Convex bodies; Outer and Inner radii; Vector sums; Minkowski addition;
Grünbaum's inequality for sections
Keywords: 52A20; 52A38; 52A40; Centroid; Convex Bodies; Grünbaum's inequality; Sections;
Orlicz-Lorentz centroid bodies
Keywords: 52A40; Orlicz-Lorentz centroid body; Orlicz-Lorentz Busemann-Petty centroid inequality; Affine isoperimetric inequalities; Steiner's symmetrization;
On the Lp dual Minkowski problem
Keywords: 52A40; 52A38; 35J96; 35J20; Lp dual Minkowski problem; Lp Minkowski problem; Dual Minkowski problem; Degenerate Monge-Ampère equation; Regularity;
Necessary subspace concentration conditions for the even dual Minkowski problem
Keywords: 52A40; 52A38; Dual curvature measure; Cone-volume measure; Surface area measure; Lp-Minkowski problem; Logarithmic Minkowski problem; Dual Brunn-Minkowski theory;
Existence and uniqueness of solutions to Orlicz Minkowski problems involving 0â¯<â¯pâ¯<â¯1
Keywords: 34B16; 34C25; 52A40; Orlicz Minkowski problem; Variational method;
A Brunn-Minkowski theory for coconvex sets of finite volume
Keywords: 52A20; 52A40; 52A39; 52A30; Coconvex set; Complemented Brunn-Minkowski inequality; Mixed volume; Surface area measure; Cone-volume measure; Minkowski type existence theorem;
Brunn-Minkowski inequalities in product metric measure spaces
Keywords: primary; 52A40; 28A35; secondary; 60G15; 52A20; Brunn-Minkowski inequality; Metric measure space; Product space; Gaussian measure; Product measure; Isoperimetric inequality;
Minkowski valuations under volume constraints
Keywords: primary; 52B45; 52A40; secondary; 52A20; 52A39; Minkowski valuation; Rogers-Shephard inequality; Affine isoperimetric inequality; Difference body;
Lp dual curvature measures
Keywords: 52A40; Lp Brunn-Minkowski theory; Dual Brunn-Minkowski theory; Dual curvature measures; Integral curvature; Lp-Minkowski problem; Alexandrov problem;
On LYZ's conjecture for the U-functional
Keywords: 52A20; 52A40; Convex polytope; Convex body; Projection body; Affine invariant; LYZ's conjecture; Volume; Support function;
On the Lp Monge-Ampère equation
Keywords: 35J20; 35J60; 52A40; 53A15; Monge-Ampère type equation; Lp surface area measure; Lp Minkowski problem;
The planar Lp-Minkowski problem for 0 < p < 1
Keywords: 52A40; Lp Minkowski problem; Monge-Ampère equation;
New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
Keywords: 26D07; 46E35; 52A40; Affine Pólya-Szegö principle; Busemann-Petty centroid inequality; Affine Sobolev-type inequalities; Stability estimates;
Uniform convexity, normal structure and the fixed point property of metric spaces
Keywords: primary; 54H25; secondary; 52A40; Uniform convexity; Normal structure; Isometric action; Bounded orbit; Circumcenter; Fixed point property;
Improved upper bounds for the Steiner ratio
Keywords: 51M16; 52A30; 52A40
The isoperimetrix in the dual Brunn–Minkowski theory
Keywords: 52A38; 52A40; 53C60Isoperimetrix; Isoperimetric inequality; Brunn–Minkowski theory; Dual Brunn–Minkowski theory; Affine inequality; Finsler manifold
On the analogue of the concavity of entropy power in the Brunn–Minkowski theory
Keywords: 52A38; 52A40; 94A17; 53A05Entropy power; Parallel volume; Parallel set; Isoperimetric inequality; Brunn–Minkowski
The Orlicz Brunn-Minkowski inequality
Keywords: 52A20; 52A40; Convex body; Orlicz addition; Orlicz Brunn-Minkowski inequality; Orlicz mixed volume;
Dual Orlicz–Brunn–Minkowski theory
Keywords: 52A20; 52A40; 53A15Star body; Orlicz radial sum; Dual Orlicz mixed volume; Dual Orlicz–Brunn–Minkowski theory; Dual Orlicz–Minkowski inequality; Dual Orlicz–Brunn–Minkowski inequality
The Steiner formula for Minkowski valuations
Keywords: 52B45; 52A40; Steiner formula; Valuation; Brunn-Minkowski inequality;
On the reverse Orlicz Busemann-Petty centroid inequality
Keywords: 52A40; 52A20; Orlicz centroid body; Orlicz centroid Busemann-Petty inequality; The shadow system; The parallel chord movement;
Volumes of low-dimensional slabs and sections in the cube
Keywords: 52A40; 52A38; Volume; Sections; Slabs; n-Cube;
Reduced convex bodies in Euclidean space—A survey
Keywords: 52A20; 52A21; 52A38; 52A40; 52B12; 52B60Complete set; Constant width; Convex body; Diameter; Isodiametric problem; Minimal width; Perimeter; Reduced body; Thickness; Width function
On the equivalence of parametric contexts for linear inequality systems
Keywords: 90C31; 90C34; 15A39; 52A40; 65F99Stability; Parametrized systems; Linear inequality systems; Feasible set mapping
Characterization of equality in the correlation inequality for convex functions, the U-conjecture
Keywords: primary; 52A40; 60E15; Gaussian measure; Ornstein-Uhlenbeck semigroup; Convexity; Correlation;
On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in Rn
Keywords: Primary 28A78; 52A40; Secondary 31C05; 31C20; 57N16; Discrete Riesz energy; Extremal configurations; Point energies; Separation radius; Mesh norm; Sphere; Uniform distribution of points on a sphere; Scar defects; Equilibrium measure; Hausdorff measure;
A Brunn-Minkowski inequality for the Monge-Ampère eigenvalue
Keywords: 35J60; 35P30; 52A40; 26D99; Brunn-Minkowski inequality; Monge-Ampère equation; Eigenvalue; Infimal convolution;
Asymptotic formulas for the diameter of sections of symmetric convex bodies
Keywords: primary 46B07; secondary 52A20; 52A40; Local theory of finite dimensional normed spaces; Random sections of convex bodies; Asymptotic formulas;
Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
Keywords: primary 11K41; 70F10; 28A78; secondary 78A30; 52A40; Minimal discrete Riesz energy; Best-packing; Hausdorff measure; Rectifiable manifolds; Uniform distribution of points on a sphere; Power law potential;