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Ultrametric skeletons
We prove that for every ε∈(0,1) there exists C(ε)∈(0,∞) with the following property. If (X,d) is a compact metric space and μ is a Borel probability measure on X then there exists a compact subset S⊆X that embeds into an ultrametric space with distortion O(1/ε), and a probability measure ν supported...
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| Main Authors: | , |
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| Format: | Artigo |
| Language: | Inglês |
| Published: |
National Academy of Sciences
2013
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| Subjects: | |
| Online Access: | https://ncbi.nlm.nih.gov/pmc/articles/PMC3845111/ https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1202500109 |
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