Absolutely minimal Lipschitz extension of tree-valued mappings

Details Absolutely minimal Lipschitz extension of tree-valued mappings Absolutely minimal Lipschitz extension of tree-valued mappings

2010-05-14

arxiv.org/abs/1005.2535v1

Mathematics

Metric Geometry

Scientific paper

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 {\bf
Politics} - a generalization of a game called {\bf Tug of War} that has been
used in \cite{PSSW09} to study real-valued AMLEs.

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