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math.MG2014
Poincaré inequalities for mutually singular measures
Andrea Schioppa
Using an inverse system of metric graphs as in: J. Cheeger and B. Kleiner, "Inverse limit spaces satisfying a Poincaré inequality", we provide a simple example of a metric space $X…
math.MG2014
Metric Currents and Alberti representations
Andrea Schioppa
We relate Ambrosio-Kirchheim metric currents to Alberti representations and Weaver derivations. In particular, given a metric current , we show that if the module $\mathscr{X}(\…