6533b82bfe1ef96bd128d632

RESEARCH PRODUCT

Gamma-convergence of Gaussian fractional perimeter

Simone CitoAlessandro CarbottiDiego PallaraDomenico Angelo La Manna

subject

Gamma-convergenceApplied MathematicsOperator (physics)GaussianMathematical analysisPerimetersymbols.namesakeDimension (vector space)Fractional perimeters Gamma-convergence Gaussian analysisConvergence (routing)Fractional perimetersymbolsConstant (mathematics)AnalysisMathematicsGaussian analysis

description

Abstract We prove the Γ-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s → 1 - {s\to 1^{-}} . Our definition of fractional perimeter comes from that of the fractional powers of Ornstein–Uhlenbeck operator given via Bochner subordination formula. As a typical feature of the Gaussian setting, the constant appearing in front of the Γ-limit does not depend on the dimension.

yearjournalcountryeditionlanguage
2021-12-02
10.1515/acv-2021-0032https://hdl.handle.net/11587/476105