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arXiv · 2403.02925

Weighted floating functions and weighted functional affine surface areas

Carsten Schütt·Christoph Thaele·Nicola Turchi·Elisabeth M. Werner
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Abstract

The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or $s$-concave functions. This leads to new notions of weighted functional affine surface areas. Their relation to more traditional versions of functional affine surface areas as well as to the classical affine surface areas for convex bodies is discussed in detail.

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Carsten Schütt, Christoph Thaele, Nicola Turchi, Elisabeth M. Werner. 2024-03-05. Weighted floating functions and weighted functional affine surface areas. https://arxiv.org/abs/2403.02925

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