Isometric rigidity of Wasserstein tori and spheres
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Publication:6075451
DOI10.1112/mtk.12174arXiv2203.04054OpenAlexW4310546914MaRDI QIDQ6075451
György Pál Gehér, Dániel Virosztek, Tamás Titkos
Publication date: 20 September 2023
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.04054
Special maps on metric spaces (54E40) Spaces of measures (46E27) Probabilistic metric spaces (54E70)
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Cites Work
- Lévy isometries of the space of probability distribution functions
- Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnov metric
- Isometries of probability measures with respect to the total variation distance
- On isometries of compact \(L^p\)-Wasserstein spaces
- On isometric embeddings of Wasserstein spaces -- the discrete case
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- A Geometric Study of Wasserstein Spaces: Isometric Rigidity in Negative Curvature
- A GENERALIZATION OF HAUSDORFF DIMENSION APPLIED TO HILBERT CUBES AND WASSERSTEIN SPACES
- Maps on probability measures preserving certain distances — a survey and some new results
- Isometric study of Wasserstein spaces – the real line
- Surjective Kuiper isometries
- A GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACES
- A Geometric study of Wasserstein spaces: Euclidean spaces
- Isometric rigidity of Wasserstein spaces: The graph metric case
- A GEOMETRIC STUDY OF WASSERSTEIN SPACES: ULTRAMETRICS
- A characterisation of isometries with respect to the Lévy-Prokhorov metric
- Weak KAM Theory on the Wasserstein Torus with Multidimensional Underlying Space
- Optimal Transport
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