Amenability criteria and critical probabilities in percolation

作者：Gournay Antoine^*

来源：Expositiones Mathematicae, 2015, 33(1): 108-115.

DOI：10.1016/j.exmath.2014.04.005

• Perclation on Cayley graphs
• Amenable actions
• Combinatorial amenability criteria

The aim of this paper is to investigate natural relations between some amenability criteria and some percolation problems on Cayley graphs. Using an apparently completely forgotten criterion of Folner, a small variation on a proof of a result of Nagnibeda and Pak is done.

• 出版日期2015