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某些乘积图上接触过程的中间状态的存在性
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：569-573
  • 语言：中文
  • 分类：O211.62[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]华东师范大学金融与统计学院统计与精算学系,上海200241
  • 相关基金：国家自然科学基金杰出青年项目（10625101）; 国家自然科学基金重点项目（10531070）; 国家重点基础研究发展计划（2006CB805900）
  • 相关项目：随机图和复杂网络
作者： 姚强|
关键词： 乘积图, 接触过程, 临界值, product graphs, contact process, critical value
中文摘要：

本文讨论了乘积图Td×G上的接触过程（其中Td为每个顶点度数均为d≥3的规则树,G为任何有限连通简单图）,证明了该过程存在弱存活的中间状态.

英文摘要：

In this article the author considers the contact process on the product graph of a homogeneous tree with degree d≥3 and an arbitrary finite connected simple graph, showing that an intermediate phase for weak survival exists.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,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）,中国北大核心期刊（2000版）
  • 被引量:9981