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arxiv: 1701.06839 · v2 · pith:FSFWJZE7new · submitted 2017-01-24 · 🧮 math.PR · math.CO

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

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keywords arxivgraphhyperbolicliouvilletransientunimodularappendixcarmesin
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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.

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