Addendum to Isoperimetry and Symmetrization for Logarithmic Sobolev inequalities
Joaquim Martin, Mario Milman
TL;DR
This paper provides a detailed alternative formulation of the Polya-Szego principle and offers a new proof for a related result, enhancing understanding of isoperimetry and symmetrization in logarithmic Sobolev inequalities.
Contribution
It introduces a complete alternative formulation of the Polya-Szego principle and presents an alternative proof for a key result in the context of logarithmic Sobolev inequalities.
Findings
Detailed alternative formulation of Polya-Szego principle
New proof of a key result in the original paper
Enhanced understanding of isoperimetry and symmetrization techniques
Abstract
We give complete details on an alternative formulation of the Polya-Szego principle that was mentioned in Remark 1 of our paper "Isoperimetry and Symmetrization for Logarithmic Sobolev inequalities". We also provide an alternative proof to a result in the same paper.
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
TopicsNonlinear Partial Differential Equations · Numerical methods in inverse problems · Differential Equations and Boundary Problems