3 papers
math.AP2025
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…
math.AP2025
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation
Jean-François Babadjian, Blanche Buet, Michael Goldman
This paper studies the effect of anisotropy on sharp or diffuse interfaces models. When the surface tension is a convex function of the normal to the interface, the anisotropy is s…
math.FA2025
Dynamics of screened particles towards equi-spaced ground states
Lucia De Luca, Michael Goldman, Marcello Ponsiglione
This paper deals with the dynamics - driven by the gradient flow of negative fractional seminorms - of empirical measures towards equi-spaced ground states. Specifically, we consid…