Keyword: Visual Boundary : Search

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Advanced Search

SEARCH GUIDE

Results: 1 - 1of1

Follow results:

per page:

Sort: Relevance

Context for search term 1Search term 1*

All Dates

LastSelect static range

Custom Range

Select starting monthSelect starting year

Select ending monthSelect ending year

Search name	Searched On	Run search
Keyword: Visual Boundary (1)	26 Mar 2025	Run
Keyword: Internet Rumors (1)	26 Mar 2025	Run
Keyword: Data Clustering (23)	26 Mar 2025	Run
Keyword: Schwinger Model (14)	26 Mar 2025	Run
Keyword: Simpower System (1)	26 Mar 2025	Run

articleNo Access
A GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACES
- JÉRÔME BERTRAND and
- BENOÎT KLOECKNER
Journal of Topology and Analysis01 Dec 2012
Preview Abstract
Optimal transport enables one to construct a metric on the set of (sufficiently small at infinity) probability measures on any (not too wild) metric space X, called its Wasserstein space .
In this paper we investigate the geometry of when X is a Hadamard space, by which we mean that X has globally non-positive sectional curvature and is locally compact. Although it is known that, except in the case of the line, is not non-positively curved, our results show that have large-scale properties reminiscent of that of X. In particular we define a geodesic boundary for that enables us to prove a non-embeddablity result: if X has the visibility property, then the Euclidean plane does not admit any isometric embedding in .

1