Abstract
In this chapter we will introduce the p-th Wasserstein distance W p (μ, ν) between two measures μ, ν ∈ (X). The first section is devoted to its preliminary properties, in connection with the optimal transportation problems studied in the previous chapter and with narrow convergence: the main topological results are valid in general metric spaces.
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© 2008 Birkhäuser Verlag AG
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(2008). The Wasserstein Distance and its Behaviour along Geodesics. In: Gradient Flows. Lectures in Mathematics ETH Zürich. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8722-8_9
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DOI: https://doi.org/10.1007/978-3-7643-8722-8_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8721-1
Online ISBN: 978-3-7643-8722-8
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