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.
Original language | English (US) |
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Pages (from-to) | 1049-1078 |
Number of pages | 30 |
Journal | Mathematische Annalen |
Volume | 354 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2012 |
ASJC Scopus subject areas
- Mathematics(all)