Geodesic
On $\mathcal Z_p$-norms of random vectors
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 25, Tome 457 (2017), pp. 211-225

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ZNSL_2017_457_a11,
     author = {R. Lata{\l}a},
     title = {On $\mathcal Z_p$-norms of random vectors},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {211--225},
     publisher = {mathdoc},
     volume = {457},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a11/}
}
TY  - JOUR
AU  - R. Latała
TI  - On $\mathcal Z_p$-norms of random vectors
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2017
SP  - 211
EP  - 225
VL  - 457
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a11/
LA  - en
ID  - ZNSL_2017_457_a11
ER  - 
%0 Journal Article
%A R. Latała
%T On $\mathcal Z_p$-norms of random vectors
%J Zapiski Nauchnykh Seminarov POMI
%D 2017
%P 211-225
%V 457
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2017_457_a11/
%G en
%F ZNSL_2017_457_a11
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/