On valuation deviations and their geometry

Published 28 Nov 2025 in math.MG | (2511.23468v1)

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.

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