14 citations · 21 across the 10 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.OC2017★ 14 cited
On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
Paul Pegon
First we present two classical models of Branched Transport: the Lagrangian model introduced by Bernot, Caselles, Morel, Maddalena, Solimini, and the Eulerian model introduced by X…
math.OC2017★ 1 cited
A fractal shape optimization problem in branched transport
Paul Pegon, Filippo Santambrogio, Qinglan Xia
We investigate the following question: what is the set of unit volume which can be best irrigated starting from a single source at the origin, in the sense of branched transport? W…
math.AP2017
A kinetic selection principle for curl-free vector fields of unit norm
Pierre Bochard, Paul Pegon
This article is devoted to the generalization of results obtained in 2002 by Jabin, Otto and Perthame. In their article they proved that planar vector fields taking value into the…