We study the asymptotic behaviour of the renormalised s-fractional Gaussian perimeter of a set E inside a domain Ω 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.
Asymptotics of the s-fractional Gaussian perimeter as s→ 0 +
Carbotti A.;Cito S.;Pallara D.
2022-01-01
Abstract
We study the asymptotic behaviour of the renormalised s-fractional Gaussian perimeter of a set E inside a domain Ω 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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CarCitLamPal22FracCalc.pdf
accesso aperto
Descrizione: Lavoro
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
2.56 MB
Formato
Adobe PDF
|
2.56 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
