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Expected hyperbolic volumes of random beta polytopes

math.PR · 2026-04-30 · unverdicted · novelty 7.0

Closed-form expressions are derived for the expected hyperbolic volume of the convex hull of n beta-distributed random points in the d-dimensional unit ball under the Klein model.

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  • Expected hyperbolic volumes of random beta polytopes math.PR · 2026-04-30 · unverdicted · none · ref 10

    Closed-form expressions are derived for the expected hyperbolic volume of the convex hull of n beta-distributed random points in the d-dimensional unit ball under the Klein model.