期刊名称:Latin American Journal of Probability and Mathematical Statistics
电子版ISSN:1980-0436
出版年度:2013
卷号:X
页码:15-25
出版社:Instituto Nacional De Matemática Pura E Aplicada
摘要:We show that there exists a connected graph G with subexponentialvolume growth such that critical percolation on G × Z has infinitely many infiniteclusters. We also give some conditions under which this cannot occur.
关键词:percolation; percolation on graphs; uniqueness threshold; Burton-;Keane; amenability; mass transport.