Motivic information (Q2000008)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Motivic information |
scientific article |
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Motivic information (English)
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27 June 2019
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The author's goal is ``to propose an information theoretic point of view in the context of motivic measures''. Motivic measures are meant in the paper as ``ring homomorphism from the Grothendieck ring of varieties to various other rings''. ``Notions of information/entropy and information loss associated to exponentiable motivic measures'' are introduced in the paper and it is shown that ``they satisfy appropriate analogs to the Khinchin-type properties that characterize information loss in the context of measures on finite sets''.
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motivic measure
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entropy
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information loss
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Hasse-Weil zeta function
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