PreprintarXiv licencearXiv
Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space
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.
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BibTeX
@misc{barchiesi2026doublearc,
title = {{Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space}},
author = {Marco Barchiesi and Filippo Cagnetti and Vesa Julin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15133},
eprint = {2610.15133},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15133},
}
RIS
TY - UNPB
TI - Double-arc rearrangement and the symmetric isoperimetric problem in Gauss space
AU - Marco Barchiesi
AU - Filippo Cagnetti
AU - Vesa Julin
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.15133
UR - https://arxiv.org/abs/2610.15133
AB - 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.
ER -