2 papers
math.AP2026
Wasserstein geometry of nonnegative measures on finite Markov chains II: Geodesic and duality formulae
Qifan Mao, Xinyu Wang, Xiaoping Xue
In this paper, we investigate the geodesic structure and the associated Kantorovich-type duality for a Benamou-Brenier-type transportation metric defined on the space of nonnegativ…
math.AP2026
Wasserstein geometry of nonnegative measures on finite Markov chains I: Gradient flow
Qifan Mao, Xinyu Wang, Xiaoping Xue
We investigate a Benamou--Brenier type transportation metric for nonnegative measures on a finite reversible Markov chain, which endows the space of measures with a Riemannian stru…