Energy of harmonic functions and Gromov's proof of Stallings' theorem

Details Energy of harmonic functions and Gromov's proof of Stallings' theorem Energy of harmonic functions and Gromov's proof of Stallings' theorem

2007-07-28

arxiv.org/abs/0707.4231v1

Mathematics

Group Theory

4 figures

Scientific paper

We provide the details for Gromov's proof of Stallings' theorem on groups
with infinitely many ends using harmonic functions. The main technical result
of the paper is a compactness theorem for a certain family of harmonic
functions.

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