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›› 2013, Vol. 30 ›› Issue (4): 433-437.DOI: 10.7523/j.issn.2095-6134.2013.04.001

• Research Articles •     Next Articles

Properties of finite-range percolation

WU Cheng-Shuai, GUO Tian-De   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2012-09-18 Revised:2012-12-04 Online:2013-07-15

Abstract:

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

CLC Number: