Special Session 172: Stochastic and geometric analysis on manifolds and metric measure spaces
Disintegrated optimal transport for metric fiber bundles and their applications
Asuka Takatsu
The University of Tokyo Japan
Co-Author(s): Jun Kitagawa
Abstract:
In this talk, I give a definition of the disintegrated Monge--Kantorovich metrics, which are a two-parameter family of metrics on subsets of Borel probability measures on general metric fiber bundles, and demonstrate their applications.