most citedFrom intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

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math.MG2026

Empirical dual volumes

Grigoris Paouris, Peter Pivovarov, Paul Simanjuntak

We introduce an empirical version of dual volumes within dual Brunn--Minkowski theory. These provide a simple model for computation and analysis under symmetrization, including mom…

math.MG2022★ 2 cited

From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry

Radoslaw Adamczak, Grigoris Paouris, Peter Pivovarov +1

We establish a family of isoperimetric inequalities for sets that interpolate between intersection bodies and dual Lp centroid bodies. This provides a bridge between the Busemann i…