From intersection bodies to dual centroid bodies: A stochastic approach to isoperimetry
We establish a family of isoperimetric inequalities for sets that interpolate between intersection bodies and dual L_{p} -centroid bodies. This provides a bridge between the Busemann intersection inequality and the Lutwak–Zhang inequality. The approach depends on new empirical versions of these inequalities.
Authors
- Radosław Adamczak (ORCID: https://orcid.org/0000-0002-4853-2677)
- Grigoris Paouris (ORCID: https://orcid.org/0000-0002-2619-0207)
- Peter Pivovarov
- Paul Simanjuntak
Institutions
- Princeton University (US)
- University of Warsaw (PL)
- University of Missouri (US)
- Texas A&M University (US)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-12-20
- DOI
- https://doi.org/10.4171/jems/1570
- Citations
- 3
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 2.93