𝐿₁-distortion of Wasserstein metrics: A tale of two dimensions
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Publication:6050836
DOI10.1090/btran/143arXiv2208.13879OpenAlexW4386090651MaRDI QIDQ6050836
Florent Baudier, Thomas Schlumprecht, Chris Gartland
Publication date: 19 September 2023
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.13879
Normed linear spaces and Banach spaces; Banach lattices (46B99) Infinite graphs (05C63) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Lipschitz and coarse geometry of metric spaces (51F30) Metric embeddings as related to computational problems and algorithms (68R12)
Cites Work
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- Cuts, trees and \(\ell_1\)-embeddings of graphs
- Coarse differentiation and multi-flows in planar graphs
- The metrical interpretation of superreflexivity in Banach spaces
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- An invitation to optimal transport, Wasserstein distances, and gradient flows
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Nonembeddability theorems via Fourier analysis
- Normal and integral currents
- Curvature Measures
- Sobolev spaces on graphs
- Monochromatic Random Waves for General Riemannian Manifolds
- Planar Earthmover Is Not in $L_1$
- Similarity estimation techniques from rounding algorithms
- Some connections between isoperimetric and Sobolev-type inequalities
- The Phylogenetic Kantorovich–Rubinstein Metric for Environmental Sequence Samples
- Lectures on Optimal Transport
- Lipschitz-free Spaces on Finite Metric Spaces
- Optimal Transport
- Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs
- Bilipschitz embeddings of metric spaces into space forms
- Wasserstein distance and metric trees
