Maps on probability measures preserving certain distances — a survey and some new results

DOI10.14232/ACTASM-018-753-YzbMath1399.46037arXiv1802.03305OpenAlexW3098851132MaRDI QIDQ3176668

Dániel Virosztek

Publication date: 23 July 2018

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03305

zbMATH Keywords

unit sphereWasserstein isometries

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Spaces of measures (46E27)

Related Items (7)

Isometric rigidity of Wasserstein spaces: The graph metric case ⋮ Isometric rigidity of Wasserstein tori and spheres ⋮ Quantum Wasserstein isometries on the qubit state space ⋮ Isometric study of Wasserstein spaces – the real line ⋮ Isometries of probability measures with respect to the total variation distance ⋮ On isometric embeddings of Wasserstein spaces -- the discrete case ⋮ On isometries of compact \(L^p\)-Wasserstein spaces

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