A Hitchhiker ’ s guide to Wasserstein distances

@inproceedings{Basso2015AH,
  title={A Hitchhiker ’ s guide to Wasserstein distances},
  author={Giuliano Basso},
  year={2015}
}
  • Giuliano Basso
  • Published 2015
The main references of this section are [Edw11] and [Kel85]. For measure theoretic notions we refer to [Bog07]. In the following we introduce some notation. Let (X, d) denote a metric space and let B(X) denote the Borel σalgebra of (X, d). Suppose that μ : B(X)→ R is a signed finite measure on the measurable space (X,B(X)), that is, μ(∅) = 0 and μ is countably additive. Recall that the map |μ| : B(X)→ R given by the assignment 

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Showing 1-10 of 11 references

On the Kantorovich–Rubinstein theorem

David A. Edwards
Expositiones Mathematicae, 29(4):387 – 398, • 2011
View 3 Excerpts

A simple proof in Monge–Kantorovich duality theory

David A. Edwards
Studia Math, 200(1):67–77, • 2010
View 1 Excerpt

Edwards . A simple proof in Monge – Kantorovich duality theory

A David
Probability : theory and examples • 2010

Edwards . On the Kantorovich – Rubinstein theorem

A. David
Studia Math • 2010

Optimal Transport: Old and New

Cédric Villani
volume 338 of Grundlehren der mathematischen Wissenschaften. Springer, • 2009
View 1 Excerpt

volume 2 of Measure Theory

Vladimir Bogachev. Measure Theory
Springer, • 2007
View 1 Excerpt

Gradient flows: in metric spaces and in the space of probability measures

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
Springer, • 2006

Graduate studies in mathematics

Cédric Villani. Topics in Optimal Transportation
American Mathematical Society, • 2003
View 1 Excerpt

New York

Hasley Royden. Real analysis. Macmillan
3rd edition, • 1988

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