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- W2899164435 abstract "The “tensorization trick” consists in proving some geometric result for a set of vectors (left{ v_iright} ) in some vector space V and then applying the same result to the tensor powers (left{ v_i^{otimes k}right} ) in (V^{otimes k}), which in turn produces a considerably stronger version of the original result for vectors (left{ v_iright} ). Our main examples concern packing vectors in the sphere, approximation of convex bodies by algebraic hypersurfaces and approximation of convex bodies by polytopes. We also discuss applications of a closely related polynomial method to constructing neighborly polytopes, bounding the Grothendieck constant, proving the polynomial ham sandwich theorem, bounding the number of equiangular lines in ({mathbb R}^d) and to constructing a counterexample to Borsuk’s conjecture." @default.
- W2899164435 created "2018-11-09" @default.
- W2899164435 creator A5082996804 @default.
- W2899164435 date "2018-01-01" @default.
- W2899164435 modified "2023-09-27" @default.
- W2899164435 title "The Tensorization Trick in Convex Geometry" @default.
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- W2899164435 doi "https://doi.org/10.1007/978-3-662-57413-3_1" @default.
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