Keywords: primary; 46B09; 46B20; 52A21; secondary; 46B07; 52A23; Talagrand's L1âL2 bound; Superconcentration; Gaussian concentration; Borsuk-Ulam theorem; Dvoretzky's theorem; Alon-Milman theorem;
مقالات ISI (ترجمه نشده)
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Keywords: 52A21; 46B07; 52A40; 60D05Isotropy; Polytope; Quermaßintegral; Covering number; Projection; Diameter
Keywords: 44A12; 52A15; 52A21; Convex bodies; Convex polytopes; Surface area; Gaussian measures;
Keywords: 52A23; 52A21; 46B07; 46B20; Dvoretzky's theorem; Explicit construction; Permutation invariant normed space;
Keywords: 52A20; 52A15; 52A21; 52C07; 53A05; Convex body; Convex cone; Normal bundle; Dimension; Tangent vector field; Symmetry of orthogonality; Symmetry; Face; Shadow boundary;
Uniqueness of circumcenters in generalized Minkowski spaces
Keywords: primary; 52A20; secondary; 41A28; 41A52; 41A65; 52A21; 52A40; Circumball; Circumcenter; Circumradius; Generalized Minkowski space; Unit ball;
A uniform estimate of the relative projection constant
Keywords: primary; 47A58; 41A65; 47A30; 52A21; Minimal projection; Finite-dimensional normed space;
Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases
Keywords: 46B06; 46B09; 52A21; Dvoretzky's theorem; Almost Euclidean sections; Superconcentration; â-Position;
Random version of Dvoretzky's theorem in âpn
Keywords: primary; 46B06; 46B07; 46B09; secondary; 52A21; 52A23; Dvoretzky's theorem; Random almost Euclidean sections; âpn spaces; Superconcentration; Concentration of measure; Gaussian analytic inequalities; Logarithmic Sobolev inequality; Talagrand's L1â
A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of Rn
Keywords: 52A20; 52A21; 57S10; 54B20; 54C55; Hyperspace of convex sets; Convex body; Banach-Mazur distance; Hausdorff metric; Group of similarities; Inner and outer radii; Geometric inequalities;
Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some LpLp-spaces
Keywords: 34C25; 35A23; 47A30; 52A21; 52A40Minimal periods; Wirtinger's inequality; Strictly convex Banach spaces
Lipschitz selections of the diametric completion mapping in Minkowski spaces
Keywords: primary; 52A21; secondary; 46B20; 52A05; Maehara completion; Bückner completion; Lipschitz selections; Diametrically complete set; Convex body of constant width; Jung's constants; Spherical hulls;
The Schwarz genus of the Stiefel manifold
Keywords: 55M20; 05D10; 20J06; 46B20; 52A21; 55M35Schwarz genus; Lusternik–Schnirelmann category; Inscribing and outscribing
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
The geometry of p-convex intersection bodies
Keywords: 44A12; 52A15; 52A21; p-Convex body; Star-shaped body; Intersection body; Busemann's theorem;
The isometries of certain maximum norms
Keywords: 46B04; 52A21; Isometry; Maximum norm; lp-norm; Absolute norm;
Intersection bodies and Lp-spaces
Keywords: 52A21; Intersection bodies; Lp-spaces; Embeddings of normed spaces; Factorization theorems;
Almost isometries and orthogonality
Keywords: primary: 46C05; 52A21; secondary: 46B20; 54C20; 47H30; Almost isometry; Bilipschitz mapping; Lipschitz equivalent; Euclidean space; Orthogonal basis;