Absolutely minimal Lipschitz extension of tree-valued mappings

作者：Naor Assaf^*; Sheffield Scott

来源：Mathematische Annalen, 2012, 354(3): 1049-1078.

DOI：10.1007/s00208-011-0753-1

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.

• 出版日期2012-11