4 citations · 6 across the 5 of their papers we have counts for
7 papers
Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure
Nhan-Phu Chung, Quoc-Hung Nguyen
We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regu…
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…
Divergence, Undistortion and Hölder Continuous Cocycle Superrigidity for Full Shifts
Nhan-Phu Chung, Yongle Jiang
In this article, we will prove a full topological version of Popa's measurable cocycle superrigidity theorem for full shifts. More precisely, we prove that every Hölder continuous…