A characterization for the solution of the Monge--Kantorovich mass transference problem
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Publication:1209468
DOI10.1016/0167-7152(93)90159-GzbMath0765.60010OpenAlexW1991477712MaRDI QIDQ1209468
Juan Antonio Cuesta-Albertos, A. Tuero-Diaz
Publication date: 16 May 1993
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(93)90159-g
metric spacesunicityWasserstein distancesMallows distancesMonge- Kantorovich mass transference problem
Related Items (8)
The Monge problem in Banach spaces ⋮ The geometry of optimal transportation ⋮ The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation ⋮ On the consistency of the mass transfer problem ⋮ A characterization of dimension free concentration in terms of transportation inequalities ⋮ Caractérisation d'une solution optimale au problème de Monge-Kantorovitch ⋮ Optimal solution of a Monge-Kantorovitch transportation problem ⋮ Optimal transportation, topology and uniqueness
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- The distance between two random vectors wigh given dispersion matrices
- Note on the optimal transportation of distributions
- Bivariate distributions with given marginals
- On the invariance principle for sums of independent identically distributed random variables
- Notes on the Wasserstein metric in Hilbert spaces
- A characterization of random variables with minimum \(L^ 2\)-distance
- The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
- Calculation of the Wasserstein Distance Between Probability Distributions on the Line
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