Stability and Rate of Convergence of the Steiner Symmetrization
D.I. Florentin, A. Segal
TL;DR
This paper introduces an analytic approach to estimate how quickly Steiner symmetrizations converge to a Euclidean ball, enhancing understanding of their stability and convergence rate.
Contribution
It develops a modified stability property for Steiner symmetrization and provides a direct analytic method to estimate convergence rates.
Findings
Derived a new estimate for convergence rate to Euclidean ball
Modified existing stability property for Steiner symmetrization
Enhanced understanding of symmetrization stability
Abstract
We present a direct analytic method towards an estimate for the rate of convergence (to the Euclidean Ball) of Steiner symmetrizations. To this end we present a modified version of a known stability property of the Steiner symmetrization.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPoint processes and geometric inequalities · Diffusion and Search Dynamics · Mathematics and Applications