Uniqueness of percolation on products with Z

作者:Benjamini Itai*; Kozma Gady
来源:Alea (Rio de Janeiro): Latin American Journal of Probability and Mathematical Statistics , 2013, 10(1): 15-25.

摘要

We show that there exists a connected graph G with subexponential volume growth such that critical percolation on G x Z has infinitely many infinite clusters. We also give some conditions under which this cannot occur.

  • 出版日期2013