Convergence properties of symmetrization processes

DOI10.1016/j.aam.2023.102484OpenAlexW4318823854MaRDI QIDQ2689162

Jacopo Ulivelli

Publication date: 9 March 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.05416

zbMATH Keywords

convex bodyMinkowski additionSchwarz symmetrizationSteiner symmetrizationMinkowski symmetrizationuniversal sequencesfiber symmetrization

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• On iterations of Steiner symmetrizations
• Steiner symmetrization using a finite set of directions
• A countable set of directions is sufficient for Steiner symmetrization
• Symmetrization in geometry
• Approximation of symmetrizations and symmetry of critical points
• New combinations of convex sets
• Random polarizations
• Random Steiner symmetrizations of sets and functions
• Convergence in shape of Steiner symmetrizations
• Random Symmetrizations of Convex Bodies
• The Brunn-Minkowski inequality
• Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces
• Convergence of symmetrization processes
• Lectures on Convex Geometry
• Convex and Discrete Geometry
• Convex Bodies The Brunn-MinkowskiTheory

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