Ulam floating functions

Chunyan Liu; Elisabeth M. Werner; Deping Ye; Ning Zhang

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arXiv · 2203.09563

Ulam floating functions

Chunyan Liu·Elisabeth M. Werner·Deping Ye·Ning Zhang

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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.

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Chunyan Liu, Elisabeth M. Werner, Deping Ye, Ning Zhang. 2022-03-17. Ulam floating functions. https://arxiv.org/abs/2203.09563

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