Isotropy-like properties are considered for finite measures with heavy tails. As a basic tool, we extend K. Ball's relationship between convex bodies and finite logarithmically concave measures to a larger class of distributions, satisfying convexity conditions of the Brunn-Minkowski type.
Bibliographical noteFunding Information:
Supported in part by the NSF grant DMS-0706866.
- Convex measures
- Floating bodies
- Isotropic convex bodies