12 citations · 19 across the 13 of their papers we have counts for
4 papers · 1 filter
Weak optimal total variation transport problems and generalized Wasserstein barycenters
Nhan-Phu Chung, Thanh-Son Trinh
In this paper, we establish a Kantorovich duality for weak optimal total variation transport problems. As consequences, we recover a version of duality formula for partial optimal…
Barycenters in the Hellinger-Kantorovich space
Nhan-Phu Chung, Minh-Nhat Phung
Recently, Liero, Mielke and Savaré introduced Hellinger-Kantorovich distance on the space of nonnegative Radon measures of a metric space [19,20]. We prove that Hellinger-Kanto…
Duality and quotient spaces of generalized Wasserstein spaces
Nhan-Phu Chung, Thanh-Son Trinh
In this article, using ideas of Liero, Mielke and Savaré in [21], we establish a Kantorovich duality for generalized Wasserstein distances on a generalized Polish metri…
Gromov-Hausdorff distances for dynamical systems
Nhan-Phu Chung
We study equivariant Gromov-Hausdorff distances for general continuous actions which are not necessarily isometric as Fukaya introduced. We prove that if an action is expansive and…