Separability and completeness for the Wasserstein distance

By François Bolley. 2008

110 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/ceefeac15906fc9d6f27c559a8ad25a9e5312632

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. John Harer
2. Giuseppe Toscani
3. Sayan Mukherjee
4. Yuriy Mileyko
5. J. Plata
6. Cédric Villani
7. José Antonio Carrillo
8. Juan Luis V'azquez

In Astronomy and Astrophysics

1. Giuseppe Toscani
2. J. Plata

Citations in the corpus

• Probability measures on the space of persistence diagrams (2011, background): “1 is analogous to the classical result for the space of probability measure with finite p-th moment endowed with the Wasserstein distance [23, 24].”
• Contractive Probability Metrics and Asymptotic Behavior of Dissipative Kinetic Equations (2007, methodology): “In what follows, we summarize the main properties of the Euclidean Wasserstein distance W2 that will be used in the rest, referring to [28, 106, 108] for the proofs.”