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arxiv: 1010.3365 · v1 · pith:FGDJJGCAnew · submitted 2010-10-16 · 🧮 math.MG · math.PR

Nonamenable Liouville Graphs

classification 🧮 math.MG math.PR
keywords graphleveladmitsbinaryboundededgesexpanderfunctions
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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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