Every planar graph with the Liouville property is amenable
type: Item
instance of: scholarly article
title: Every planar graph with the Liouville property is amenable
zbMATH Open document ID: 1453.31015
publication date: 2020-11-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1502.02542
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 05C70
zbMATH DE Number: 7279083
zbMATH Keywords: amenable planar graphs
zbMATH Keywords: non amenable planar graphs
zbMATH Keywords: Dirichlet harmonic functions circle packing
zbMATH Keywords: electrical network
zbMATH Keywords: harmonic function
zbMATH Keywords: infinite graph
zbMATH Keywords: non-amenable
zbMATH Keywords: planar graphs
zbMATH Keywords: recurrent
zbMATH Keywords: transient
author: Johannes Carmesin
author: Agelos Georgakopoulos
MaRDI profile type: Publication
OpenAlex ID: W3032957580
arXiv ID: 1502.02542
DOI: 10.1002/RSA.20936
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published in: Random Structures \& Algorithms
description: scientific article; zbMATH DE number 7279083