English

Ulam floating functions

Metric Geometry 2022-03-21 v1 Functional Analysis

Abstract

We extend the notion of Ulam floating sets from convex bodies to Ulam floating functions. We use the Ulam floating functions to derive a new variational formula for the affine surface area of log-concave functions.

Keywords

Cite

@article{arxiv.2203.09563,
  title  = {Ulam floating functions},
  author = {Chunyan Liu and Elisabeth M. Werner and Deping Ye and Ning Zhang},
  journal= {arXiv preprint arXiv:2203.09563},
  year   = {2022}
}
R2 v1 2026-06-24T10:17:36.153Z