activity
20192024
most citedArea of intrinsic graphs and coarea formula in Carnot Groups

4 citations · 4 across the 4 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.AP2023

Cantor sets with absolutely continuous harmonic measure

Guy David, Cole Jeznach, Antoine Julia

We construct Ahlfors regular Cantor sets of small dimension in the plane, such that the Hausdorff measure on is equivalent to the harmonic measure associated to its complem…

math.DG2023

Flat compactness of normal currents, and charges in Carnot groups

Antoine Julia, Pierre Pansu

We prove that the family of normal currents in the sense of Rumin in a Carnot group is compact in the flat topology. This result is obtained through a dual compactness argument for…