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有限相关渗流的性质研究
  • ISSN号：2095-6134
  • 期刊名称：《中国科学院大学学报》
  • 时间：0
  • 分类：O211.6[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]中国科学院大学数学科学学院,北京100049
  • 相关基金：国家自然科学基金（71271204）;国家自然科学基金重点项目（10831006）资助
作者： 吴成帅[1], 郭田德[1]
关键词： 渗流, 临界概率, Russo公式, percolation, critical probability, Russo＇s formula
中文摘要：

对经典的Zd上渗流进行扩展,给出一个有限相关渗流的模型,分别利用Russo公式和支配的方法证明了其临界概率的严格单调性和连续性.

英文摘要：

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.

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期刊信息
  • 《中国科学院大学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院大学
  • 主编：石耀霖
  • 地址：北京玉泉路19号(甲)
  • 邮编：100049
  • 邮箱：journal@gucas.ac.cn
  • 电话：010-88256013
  • 国际标准刊号：ISSN：2095-6134
  • 国内统一刊号：ISSN：10-1131/N
  • 邮发代号:82-583
  • 获奖情况:
  • 国内外数据库收录:
  • 中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:416