Every planar graph with the Liouville property is amenable

Johannes Carmesin, Agelos Georgakopoulos. Every planar graph with the Liouville property is amenable. Random Struct. Algorithms, 57(3):706-729, 2020. [doi]

@article{CarmesinG20,
  title = {Every planar graph with the Liouville property is amenable},
  author = {Johannes Carmesin and Agelos Georgakopoulos},
  year = {2020},
  doi = {10.1002/rsa.20936},
  url = {https://doi.org/10.1002/rsa.20936},
  researchr = {https://researchr.org/publication/CarmesinG20},
  cites = {0},
  citedby = {0},
  journal = {Random Struct. Algorithms},
  volume = {57},
  number = {3},
  pages = {706-729},
}