Nonamenable Liouville Graphs
Metric Geometry
2010-10-19 v1 Probability
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.
Keywords
Cite
@article{arxiv.1010.3365,
title = {Nonamenable Liouville Graphs},
author = {Itai Benjamini and Gady Kozma},
journal= {arXiv preprint arXiv:1010.3365},
year = {2010}
}
Comments
5 pages, 4 conjectures