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math.AP2026
Elementary discrete diffusion/redistancing schemes for the mean curvature flow
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
We consider a fully discrete and explicit scheme for the mean curvature flow of boundaries, based on an elementary diffusion step and a precise redistancing operation. We give an e…
math.AP2025
Discrete-to-continuum crystalline curvature flows
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
We consider here a fully discrete variant of the implicit variational scheme for mean curvature flow [AlmTayWan,LucStu], in a setting where the flow is governed by a crystalline su…
math.AP2024
One-dimensional approximation of measures in Wasserstein distances
Antonin Chambolle, Vincent Duval, Joao Miguel Machado
We propose a variational approach to approximate measures with measures uniformly distributed over a 1 dimentional set. The problem consists in minimizing a Wasserstein distance as…