4 citations · 4 across the 3 of their papers we have counts for
4 papers
Classification of uniformly distributed measures of dimension in general codimension
Paul Laurain, Mircea Petrache
Starting with the work of Preiss on the geometry of measures, the classification of uniform measures in has remained open, except for and for compactly supporte…
Coefficient groups inducing nonbranched optimal transport
Mircea Petrache, Roger Züst
In this work we consider an optimal transport problem with coefficients in a normed Abelian group , and extract a purely intrinsic condition on that guarantees that the opti…
Decorrelation as an avatar of convexity
Mircea Petrache
If is a Polish space then we show that the product measure on is guaranteed to minimize -energy amongst exchangeable measures with fixed marginals if and only if…
A continuous model of transportation revisited
Lorenzo Brasco, Mircea Petrache
We review two models of optimal transport, where congestion effects during the transport can be possibly taken into account. The first model is Beckmann's one, where the transport…