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...

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Bibliographic Details
Main Authors: Naor, Assaf, Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag 2013
Online Access:http://hdl.handle.net/1721.1/80844
https://orcid.org/0000-0002-5951-4933