Abstract
We extend the geometric study of the Wasserstein space of a simply connected, negatively curved metric space X by investigating which pairs of boundary points can be linked by a geodesic, when X is a tree.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bridson, M.R., Haefliger, A.: Metric spaces of non-positive curvature. In: Grundlehren der Mathematischen Wissenschaften. Fundamental Principles of Mathematical Sciences, vol. 319, Springer, Berlin (1999)
Bertrand, J., Kloeckner, B.R.: A geometric study of Wasserstein spaces: Hadamard spaces. J. Top. Ana. 4(4), 515–542 (2012) arXiv:1010.0590
Villani, C.: Optimal transport, old and new. In: Grundlehren der Mathematischen Wissenschaften, vol. 338. Springer (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bertrand, J., Kloeckner, B.R. (2013). A Geometric Study of Wasserstein Spaces: An Addendum on the Boundary. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_44
Download citation
DOI: https://doi.org/10.1007/978-3-642-40020-9_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40019-3
Online ISBN: 978-3-642-40020-9
eBook Packages: Computer ScienceComputer Science (R0)