Regularization of star bodies by random hyperplane cut off

V. D. Milman; A. Pajor

Studia Mathematica (2003)

  • Volume: 159, Issue: 2, page 247-261
  • ISSN: 0039-3223

Abstract

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We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.

How to cite

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V. D. Milman, and A. Pajor. "Regularization of star bodies by random hyperplane cut off." Studia Mathematica 159.2 (2003): 247-261. <http://eudml.org/doc/285021>.

@article{V2003,
abstract = {We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.},
author = {V. D. Milman, A. Pajor},
journal = {Studia Mathematica},
keywords = {isotropic measures; hyperplane cut off; Low -estimate; random sections; regularization of a body; volume ratio},
language = {eng},
number = {2},
pages = {247-261},
title = {Regularization of star bodies by random hyperplane cut off},
url = {http://eudml.org/doc/285021},
volume = {159},
year = {2003},
}

TY - JOUR
AU - V. D. Milman
AU - A. Pajor
TI - Regularization of star bodies by random hyperplane cut off
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 2
SP - 247
EP - 261
AB - We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.
LA - eng
KW - isotropic measures; hyperplane cut off; Low -estimate; random sections; regularization of a body; volume ratio
UR - http://eudml.org/doc/285021
ER -

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