Valuations on log-concave functions (Q2048304)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Valuations on log-concave functions |
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Valuations on log-concave functions (English)
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5 August 2021
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The authors prove a new classification of \(\mathrm{SL}(n)\) and translation covariant Minkowski valuations on logconcave functions. To reach it, characterizations of the moment vector and of the level set body of a log-concave function are provided. Last but not least analogs of the Euler characteristic and volume are characterized as \(\mathrm{SL}(n)\) and translation invariant valuations on log-concave functions as well.
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valuation
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log-concave function
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\(\mathrm{SL}(n)\) covariance
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translation covariance
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moment vector
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difference body
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