收稿日期: 2012-09-18
修回日期: 2012-12-04
网络出版日期: 2013-07-15
基金资助
国家自然科学基金(71271204)和国家自然科学基金重点项目(10831006)资助
Properties of finite-range percolation
Received date: 2012-09-18
Revised date: 2012-12-04
Online published: 2013-07-15
吴成帅 , 郭田德 . 有限相关渗流的性质研究[J]. 中国科学院大学学报, 2013 , 30(4) : 433 -437 . DOI: 10.7523/j.issn.2095-6134.2013.04.001
We expand the classical percolation on Zd and define a finite-range percolation model. Using Russo's formula and dominantion, we have proven the strict monotonicity and continuity of the critical probability.
Key words： percolation; critical probability; Russo's formula
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