Nonamenable Liouville Graphs

Details Nonamenable Liouville Graphs Nonamenable Liouville Graphs

2010-10-16

arxiv.org/abs/1010.3365v1

Mathematics

Metric Geometry

5 pages, 4 conjectures

Scientific paper

Add to each level of binary tree edges to make the induced graph on the level
a uniform expander. It is shown that such a graph admits no non-constant
bounded harmonic functions.

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