Valuations on Log-Concave Functions
Metric Geometry
2021-06-07 v1 Functional Analysis
Abstract
A classification of and translation covariant Minkowski valuations on log-concave functions is established. The moment vector and the recently introduced level set body of log-concave functions are characterized. Furthermore, analogs of the Euler characteristic and volume are characterized as and translation invariant valuations on log-concave functions.
Keywords
Cite
@article{arxiv.1707.06428,
title = {Valuations on Log-Concave Functions},
author = {Fabian Mussnig},
journal= {arXiv preprint arXiv:1707.06428},
year = {2021}
}