# On nearly radial marginals of high-dimensional probability measures

Journal of the European Mathematical Society (2010)

- Volume: 012, Issue: 3, page 723-754
- ISSN: 1435-9855

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topKlartag, Bo'az. "On nearly radial marginals of high-dimensional probability measures." Journal of the European Mathematical Society 012.3 (2010): 723-754. <http://eudml.org/doc/277460>.

@article{Klartag2010,

abstract = {Suppose that $\mu $ is an absolutely continuous probability measure on $\mathbb \{^\}R$n, for large $n$. Then $\mu $ has low-dimensional marginals that are approximately spherically-symmetric. More precisely, if $n\ge (C/\varepsilon )^\{Cd\}$, then there exist $d$-dimensional marginals of $\mu $ that are $\varepsilon $-far from being sphericallysymmetric,
in an appropriate sense. Here $C>0$ is a universal constant.},

author = {Klartag, Bo'az},

journal = {Journal of the European Mathematical Society},

keywords = {high-dimensional measures; marginals; Dvoretzky's theorem; high-dimensional measures; Dvoretzky's theorem; spherically-symmetric; radially-symmetric.},

language = {eng},

number = {3},

pages = {723-754},

publisher = {European Mathematical Society Publishing House},

title = {On nearly radial marginals of high-dimensional probability measures},

url = {http://eudml.org/doc/277460},

volume = {012},

year = {2010},

}

TY - JOUR

AU - Klartag, Bo'az

TI - On nearly radial marginals of high-dimensional probability measures

JO - Journal of the European Mathematical Society

PY - 2010

PB - European Mathematical Society Publishing House

VL - 012

IS - 3

SP - 723

EP - 754

AB - Suppose that $\mu $ is an absolutely continuous probability measure on $\mathbb {^}R$n, for large $n$. Then $\mu $ has low-dimensional marginals that are approximately spherically-symmetric. More precisely, if $n\ge (C/\varepsilon )^{Cd}$, then there exist $d$-dimensional marginals of $\mu $ that are $\varepsilon $-far from being sphericallysymmetric,
in an appropriate sense. Here $C>0$ is a universal constant.

LA - eng

KW - high-dimensional measures; marginals; Dvoretzky's theorem; high-dimensional measures; Dvoretzky's theorem; spherically-symmetric; radially-symmetric.

UR - http://eudml.org/doc/277460

ER -

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