On valuation deviations and their geometry
Metric Geometry
2025-12-01 v1
Abstract
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.
Cite
@article{arxiv.2511.23468,
title = {On valuation deviations and their geometry},
author = {David Owen Horace Cutler and Mel Deaton},
journal= {arXiv preprint arXiv:2511.23468},
year = {2025}
}
Comments
26 pages, 12 figures, comments welcome