46 citations · 58 across the 5 of their papers we have counts for
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math.DG2016★ 10 cited
Minimal clusters of four planar regions with the same area
Emanuele Paolini, Andrea Tamagnini
We prove that the optimal way to enclose and separate four planar regions with equal area using the less possible perimeter requires all regions to be connected. Moreover, the topo…
math.DG2013
Structure of metric cycles and normal one-dimensional currents
Emanuele Paolini, Eugene Stepanov
We prove that every one-dimensional real Ambrosio-Kirchheim normal current in a Polish (i.e. complete separable metric) space can be naturally represented as an integral of simpler…
math.DG2013★ 46 cited
Decomposition of acyclic normal currents in a metric space
Emanuele Paolini, Eugene Stepanov
We prove that every acyclic normal one-dimensional real Ambrosio-Kirchheim current in a Polish (i.e. complete separable metric) space can be decomposed in curves, thus generalizing…