Pietro Aldrigo

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math.MG2026

Absolutely continuous curves in spaces of compactly supported densities

Pietro Aldrigo

We give a constructive proof for existence of absolutely continuous curves connecting each pair $μ, ν \in PL_{\infty}^{p} (R^{n})$ , for every $1 \leq p \leq \infty$ , where $…

math.MG2026

Isoperimetric minimizing movements and AC curves in spaces of measures

Pietro Aldrigo

We define a complete metric structure on the family $PL_{q}^{p} (R^{n})$ of probability measures with densities in $L^{p} (R^{n})$ and finite $q$ -moments. We establish…