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arXiv · 1707.06428

Valuations on Log-Concave Functions

Fabian Mussnig
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Abstract

A classification of $\operatorname{SL}(n)$ 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 $\operatorname{SL}(n)$ and translation invariant valuations on log-concave functions.

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Fabian Mussnig. 2017-07-20. Valuations on Log-Concave Functions. https://doi.org/10.1007/s12220-020-00539-3

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