EURO-Online login
- New to EURO? Create an account
- I forgot my username and/or my password.
- Help with cookies
(important for IE8 users)
19. Convergence and stability of optimal transport on irreversible metric spaces
Invited abstract in session TA-41: Optimization on Geodesic Metric Spaces II: Nonsmooth case, stream Optimization on Geodesic Metric Spaces: Smooth and Nonsmooth.
Tuesday, 8:30-10:00Room: 97 (building: 306)
Authors (first author is the speaker)
| 1. | Wei Zhao
|
| East China University of Science and Technology |
Abstract
The talk is devoted to the optimal transport on irreversible metric spaces. While the compact setting is mostly similar to the reversible case developed by J. Lott, K.-T. Sturm and C. Villani, the noncompact case provides various surprising phenomena. Since the reversibility of noncompact irreversible spaces might be infinite, it is motivated to introduce a suitable nondecreasing function that bounds the reversibility of larger and larger balls. By this approach, we are able to prove satisfactory convergence/stability results in a suitable – reversibility depending – Gromov-Hausdorff topology. A wide class of irreversible spaces is provided by Finsler manifolds, which serve to construct various model examples by pointing out genuine differences between the reversible and irreversible settings. It is a joint work with Alexandru Kristaly.
Keywords
- Non-smooth Optimization
Status: accepted
Back to the list of papers