Work

Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space

Year: 2026

Type: preprint

Abstract: We provide a new rearrangement in Gauss space transforming symmetric sets while decreasing their Gaussian perimeter. We use this rearrangement to analyze the minimizers of the Gaussian perimeter among symmetric sets.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15133

Authors: Barchiesi, Marco, Cagnetti, Filippo, Julin, Vesa

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221792415

Cites: 1

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Related to: 10