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math.FA2005
A comment on the low-dimensional Busemann-Petty problem
Emanuel Milman
The generalized Busemann-Petty problem asks whether centrally-symmetric convex bodies having larger volume of all m-dimensional sections necessarily have larger volume. When m>3 th…
math.FA2005
Dual Mixed Volumes and the Slicing Problem
Emanuel Milman
We develop a technique using dual mixed-volumes to study the isotropic constants of some classes of spaces. In particular, we recover, strengthen and generalize results of Ball and…