18 citations · 92 across the 40 of their papers we have counts for
6 papers · 1 filter
A deformation theorem for tensor flat chains and applications (complement to ''Tensor rectifiable G-flat chains'')
Michael Goldman, Benoît Merlet
In this note we extend White's deformation theorem for G-flat chains to the setting of G-flat tensor chains. As a corollary we obtain that the groups of normal tensor chains identi…
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…
Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle
Michael Goldman, Benoît Merlet
We introduce the notion of set-decomposition of a normal G-flat chain. We show that any normal rectifiable -flat chain admits a decomposition in set-indecomposable sub-chains. T…
Optimal transport methods for combinatorial optimization over two random point sets
Michael Goldman, Dario Trevisan
We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in where the edge cost between two poin…
Uniform -regularity for almost-minimizers of some nonlocal perturbations of the perimeter
Michael Goldman, Benoît Merlet, Marc Pegon
In this paper, we establish a -regularity theorem for almost-minimizers of the functional , where and $P_{\vare…
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…