Isometric study of Wasserstein spaces – the real line

DOI10.1090/tran/8113zbMath1460.46006arXiv2002.00859OpenAlexW3003629968MaRDI QIDQ3298982

Dániel Virosztek, György Pál Gehér, Tamás Titkos

Publication date: 17 July 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00859

zbMATH Keywords

isometric embeddingsWasserstein spaceisometric rigidityexotic isometry flow

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Probabilistic measure theory (60A10) Special maps on metric spaces (54E40) Isometric theory of Banach spaces (46B04) Spaces of measures (46E27)

Related Items (4)

Isometric rigidity of Wasserstein spaces: The graph metric case ⋮ Isometric rigidity of Wasserstein tori and spheres ⋮ Quantum Wasserstein isometries on the qubit state space ⋮ On isometries of compact \(L^p\)-Wasserstein spaces

Uses Software

• Wasserstein GAN

Cites Work

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