We prove the Gamma-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s -> 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 Gamma-limit does not depend on the dimension.
Gamma-convergence of Gaussian fractional perimeter
Carbotti A.;Cito S.;Pallara D.
2023-01-01
Abstract
We prove the Gamma-convergence of the renormalised Gaussian fractional s-perimeter to the Gaussian perimeter as s -> 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 Gamma-limit does not depend on the dimension.File in questo prodotto:
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