5 citations · 10 across the 9 of their papers we have counts for
15 papers · 1 filter
Tensor rectifiable G-flat chains
Michael Goldman, Benoît Merlet
A rigidity result for normal rectifiable -chains in with coefficients in an Abelian normed group is established. Given some decompositions , $n=n_1+n_2…
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion
Michael Goldman, Matteo Novaga, Berardo Ruffini
We consider a variational problem involving competition between surface tension and charge repulsion. We show that, as opposed to the case of weak (short-range) interactions where…
On the quadratic random matching problem in two-dimensional domains
Luigi Ambrosio, Michael Goldman, Dario Trevisan
We investigate the average minimum cost of a bipartite matching, with respect to the squared Euclidean distance, between two samples of n i.i.d. random points on a bounded Lipschit…
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type
Jules Candau-Tilh, Michael Goldman
The aim of this paper is to prove the existence of minimizers for a variational problem involving the minimization under volume constraint of the sum of the perimeter and a non-loc…
Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions
Michael Goldman, Matteo Novaga, Berardo Ruffini
The aim of this note is to prove that almost-minimizers of the perimeter are Reifenberg flat, for a very weak notion of minimality. The main observation is that smallness of the ex…
An --regularity result for optimal transport maps between continuous densities
Michael Goldman
The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.