U. Bindini

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20172022

most citedSmoothing operators in multi-marginal Optimal Transport

6 citations · 11 across the 8 of their papers we have counts for

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math.OC2022

Relaxed many-body optimal transport and related asymptotics

Ugo Bindini, Guy Bouchitté

Optimization problems on probability measures in $R^{d}$ are considered where the cost functional involves multi-marginal optimal transport. In a model of $N$ interacting pa…

math.OC2019★ 6 cited

Smoothing operators in multi-marginal Optimal Transport

Ugo Bindini

Given $N$ absolutely continuous probabilities $ρ_{1}, \dots, ρ_{N}$ over $R^{d}$ which have Sobolev regularity, and given a transport plan $P$ with marginals $ρ_{1}, \dots, ρ_{N}$ …

math.OC2017

Marginals with finite repulsive cost

Ugo Bindini

We consider a multimarginal transport problem with repulsive cost, where the marginals are all equal to a fixed probability $ρ \in P (R^{d})$ . We prove that, if the…