Asymptotics of the s-fractional Gaussian perimeter as s 0+
Abstract
We study the asymptotic behaviour of the renormalised s-fractional Gaussian perimeter of a set E inside a domain as s 0+. Contrary to the Euclidean case, as the Gaussian measure is finite, the shape of the set at infinity does not matter, but, surprisingly, the limit set function is never additive.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.