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Lattice coverings and Gaussian measures ofn-dimensional convex bodies

✍ Scribed by W. Banaszczyk; S. J. Szarek

Book ID
105746539
Publisher
Springer
Year
1997
Tongue
English
Weight
937 KB
Volume
17
Category
Article
ISSN
0179-5376

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Balancing vectors and Gaussian measures
Balancing vectors and Gaussian measures of n-dimensional convex bodies
✍ Wojciech Banaszczyk πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

Let ΠΈ be the Euclidean norm on R and β₯ the standard Gaussian measure n n Ε½ . ynr2 y5x5 2 r2 on R with density 2 e . It is proved that there is a numerical constant c ) 0 n Ε½ . with the following property: if K is an arbitrary convex body in R with β₯ K G 1r2, then n n 5 5 5 5 to each sequence u , . .