Can I read Concentration of the Intrinsic Volumes of a Convex Body on EtoBox?

Concentration of the Intrinsic Volumes of a Convex Body by Lotz, Martin; McCoy, Michael B.; Nourdin, Ivan; Peccati, Giovanni; Tropp, Joel A. is a scholarly article available to read on EtoBox.

What is Concentration of the Intrinsic Volumes of a Convex Body about?

The intrinsic volumes are measures of the content of a convex body. This paper uses probabilistic and information-theoretic methods to study the sequence of intrinsic volumes of a convex body. The main result states that the intrinsic volume sequence concentrates sharply around a specific index, called the central intrinsic volume. Furthermore, among all convex bodies whose central intrinsic volume is fixed, an appropriately scaled cube has the intrinsic volume sequence with maximum entropy.

Author

Lotz, Martin; McCoy, Michael B.; Nourdin, Ivan; Peccati, Giovanni; Tropp, Joel A.

Published

2018

Language

EN