2 papers
math-ph2023
Mean field theory for a general class of short-range interaction functionals
Guy Bouchitté, Rajesh Mahadevan
In models of interacting particles in as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c_\e(x,y) =\ell\B…
math.OC2022
Relaxed many-body optimal transport and related asymptotics
Ugo Bindini, Guy Bouchitté
Optimization problems on probability measures in are considered where the cost functional involves multi-marginal optimal transport. In a model of interacting pa…