| dc.contributor.author | Naor, Assaf | |
| dc.contributor.author | Sheffield, Scott Roger | |
| dc.date.accessioned | 2013-09-20T17:34:04Z | |
| dc.date.available | 2013-09-20T17:34:04Z | |
| dc.date.issued | 2011-11 | |
| dc.date.submitted | 2011-10 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.issn | 1432-1807 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80844 | |
| dc.description.abstract | 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 et al. (J Am Math Soc 22(1):167–210, 2009) to study real-valued AMLEs. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF Grant CCF-0832795) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF Grant CCF-0635078) | en_US |
| dc.description.sponsorship | United States-Israel Binational Science Foundation (BSF grant 2006009) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF Grant OISE-0730136) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF Grant DMS-0645585) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00208-011-0753-1 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Absolutely minimal Lipschitz extension of tree-valued mappings | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Naor, Assaf, and Scott Sheffield. “Absolutely minimal Lipschitz extension of tree-valued mappings.” Mathematische Annalen 354, no. 3 (November 15, 2012): 1049-1078. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Sheffield, Scott Roger | en_US |
| dc.relation.journal | Mathematische Annalen | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Naor, Assaf; Sheffield, Scott | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-5951-4933 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
