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A unimodular Liouville hyperbolic souvlaki --- an appendix to [arXiv:1603.06712]

arXiv:1701.06839

Abstract

Carmesin, Federici, and Georgakopoulos [arXiv:1603.06712] constructed a transient hyperbolic graph that has no transient subtrees and that has the Liouville property for harmonic functions. We modify their construction to get a unimodular random graph with the same properties.

4 pages. A new question from Itai Benjamini has been added