Simone Di Marino

activity

20122023

most citedOn the duality between p-Modulus and probability measures

36 citations · 112 across the 19 of their papers we have counts for

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3 papers · 1 filter

math.MG2018

Infinitesimal Hilbertianity of locally CAT( $κ$ )-spaces

Simone Di Marino, Nicola Gigli, Enrico Pasqualetto +1

We show that, given a metric space $(Y, d)$ of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure $μ$ on $Y$ giving finite mass to bounded sets, t…

math.MG2016

Perimeter as relaxed Minkowski content in metric measure spaces

Luigi Ambrosio, Nicola Gigli, Simone Di Marino

In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski content w.r.t.\ convergence in measure

math.MG2014★ 12 cited

Sobolev and BV spaces on metric measure spaces via derivations and integration by parts

Simone Di Marino

We develop a theory of BV and Sobolev Spaces via integration by parts formula in abstract metric spaces; the role of vector fields is played by Weaver's metric derivations. The def…

Infinitesimal Hilbertianity of locally CAT(κ)-spaces

Perimeter as relaxed Minkowski content in metric measure spaces

Sobolev and BV spaces on metric measure spaces via derivations and integration by parts

Infinitesimal Hilbertianity of locally CAT( $κ$ )-spaces