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20072023
most citedGeneralized Wasserstein distance and its application to transport equations with source

193 citations · 487 across the 34 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.AP2012

Large time behavior for the heat equation on Carnot groups

Francesco Rossi

We first generalize a decomposition of functions on Carnot groups as linear combinations of the Dirac delta and some of its derivatives, where the weights are the moments of the fu…

math.AP2012★ 193 cited

Generalized Wasserstein distance and its application to transport equations with source

Benedetto Piccoli, Francesco Rossi

In this article, we generalize the Wasserstein distance to measures with different masses. We study the properties of such distance. In particular, we show that it metrizes weak co…

math.OC2012★ 4 cited

Curve cuspless reconstruction via sub-Riemannian geometry

Ugo Boscain, Remco Duits, Francesco Rossi +1

We consider the problem of minimizing for a planar curve having fixed initial and final positions and directions. The total length is free…