Geodesic
On $\mathcal Z_p$-norms of random vectors
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 25, Tome 457 (2017), pp. 211-225 Cet article a éte moissonné depuis la source Math-Net.Ru

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To any $n$-dimensional random vector $X$ we may associate its $L_p$-centroid body $\mathcal Z_p(X)$ and the corresponding norm. We formulate a conjecture concerning the bound on the $\mathcal Z_p(X)$-norm of $X$ and show that it holds under some additional symmetry assumptions. We also relate our conjecture with estimates of covering numbers and Sudakov-type minoration bounds. 
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     author = {R. Lata{\l}a},
     title = {On $\mathcal Z_p$-norms of random vectors},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a11/}
}
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R. Latała. On $\mathcal Z_p$-norms of random vectors. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 25, Tome 457 (2017), pp. 211-225. http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a11/

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