Gamma-convergence of nonlocal perimeter functionals

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arxiv 1007.3770 v1 pith:NTWNGG5M submitted 2010-07-21 math.FA

Luigi Ambrosio , Guido De Philippis , Luca Martinazzi This is my paper

classification math.FA

keywords functionalsperimetercertaindefinedgamma-convergegamma-convergencegiorgimeasurable

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We prove that certain non-local functionals defined on measurable sets Gamma-converge to the perimeter in the sense of De Giorgi.