Absolutely minimal Lipschitz extension of tree-valued mappings
We prove that every Lipschitz function from a subset of a locally compact length space to a metric tree has a unique absolutely minimal Lipschitz extension (AMLE). We relate these extensions to a stochastic game called Politics—a generalization of a game called Tug of War that has been used in Peres...
Main Authors: | Naor, Assaf, Sheffield, Scott Roger |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
Springer-Verlag
2013
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Online Access: | http://hdl.handle.net/1721.1/80844 https://orcid.org/0000-0002-5951-4933 |
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