On valuation deviations and their geometry

Fuente: arXiv
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Autores principales: Cutler, David Owen Horace, Deaton, Mel
Formato: Preprint
Publicado: 2025
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author Cutler, David Owen Horace
Deaton, Mel
author_facet Cutler, David Owen Horace
Deaton, Mel
contents We introduce two valuation-based deviations on convex bodies. Using a construction that allows us to associate to these deviations "intrinsic" pseudometrics, we establish various results which capture information about the underlying valuation in terms of the geometry of their induced deviations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_23468
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On valuation deviations and their geometry
Cutler, David Owen Horace
Deaton, Mel
Metric Geometry
51F99
We introduce two valuation-based deviations on convex bodies. Using a construction that allows us to associate to these deviations "intrinsic" pseudometrics, we establish various results which capture information about the underlying valuation in terms of the geometry of their induced deviations.
title On valuation deviations and their geometry
topic Metric Geometry
51F99
url https://arxiv.org/abs/2511.23468