18 citations · 92 across the 40 of their papers we have counts for
5 papers · 1 filter
Compactness and structure of zero-states for unoriented Aviles-Giga functionals
Michael Goldman, Benoit Merlet, Marc Pegon +1
Motivated by some models of pattern formation involving an unoriented director field in the plane, we study a family of unoriented counterparts to the Aviles-Giga functional. We in…
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…
A fluctuation result for the displacement in the optimal matching problem
Michael Goldman, Martin Huesmann
The aim of this paper is to justify in dimensions two and three the ansatz of Caracciolo et al. stating that the displacement in the optimal matching problem is essentially given b…
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…