Floating functions
Functional Analysis
2018-08-07 v2
Abstract
We introduce floating bodies for convex, not necessarily bounded subsets of . This allows us to define floating functions for convex and log concave functions and log concave measures. We establish the asymptotic behavior of the integral difference of a log concave function and its floating function. This gives rise to a new affine invariant which bears striking similarities to the Euclidean affine surface area.
Cite
@article{arxiv.1711.11088,
title = {Floating functions},
author = {Ben Li and Carsten Schuett and Elisabeth M. Werner},
journal= {arXiv preprint arXiv:1711.11088},
year = {2018}
}