L. Ferrari

activity

20162018

most citedA simple phase-field approximation of the Steiner problem in dimension two

6 citations · 10 across the 3 of their papers we have counts for

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math.AP2018

Strong approximation in h-mass of rectifiable currents under homological constraint

Antonin Chambolle, Luca Alberto Davide Ferrari, Benoït Merlet

Let h : R $\to$ R+ be a lower semi-continuous subbadditive and even function such that h(0) = 0 and h( $θ$ ) $\geq$ $α$ | $θ$ | for some $α$ > 0. The h-mass of a k-polyhedral cha…

math.AP2017★ 3 cited

Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet

In this paper we produce a $Γ$ -convergence result for a class of energies $F k$ ε $, a$ modeled on the Ambrosio-Tortorelli functional. For the choice k = 1 we show that $F 1$ ε$,a…

math.AP2016★ 6 cited

A simple phase-field approximation of the Steiner problem in dimension two

A. Chambolle, B. Merlet, L. Ferrari

In this paper we consider the branched transportation problem in 2D associated with a cost per unit length of the form $1 + α m$ where $m$ denotes the amount of transported mass and…