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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.
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 -