Nonamenable Liouville Graphs

2010/10/16 by Itai Benjamini, Gady Kozma, Benjamini, Itai +1
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR) #math.MG #math.PR

paper · pdf · doi:10.48550/arxiv.1010.3365

5 pages, 4 conjectures

arxiv created 2010/10/16 · arxiv updated 2010/10/19

Abstract

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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