On the Maximal Gaussian Perimeter of Convex Sets, Revisited

We revisit Nazarov's construction of a convex set with nearly maximal Gaussian surface area and give an alternate analysis based on the notion of convex influence.

Publication Details

Journal
ArXiv.org
Published
2025-08-27
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

On the Maximal Gaussian Perimeter of Convex Sets, Revisited

ArXiv.org
Geochemistry and Geologic Mapping
article

On the Maximal Gaussian Perimeter of Convex Sets, Revisited

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Abstract

We revisit Nazarov's construction of a convex set with nearly maximal Gaussian surface area and give an alternate analysis based on the notion of convex influence.

ArXiv.org
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Geochemistry and Geologic Mapping
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On the Maximal Gaussian Perimeter of Convex Sets, Revisited · ArXiv.org (2025) | TGRS Research Map | TGRS