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h-变换在生灭过程中的应用
  • ISSN号：1000-5277
  • 期刊名称：《福建师范大学学报：自然科学版》
  • 时间：0
  • 分类：O211.62[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]福建师范大学数学与计算机科学学院,福建福州350117
  • 相关基金：国家自然科学基金资助项目（11201073）
作者： 林清春[1]
关键词： 生灭过程, h-变换, 第一特征值, Poincaré型不等式, birth-death process , h-transformation , first eigenvalue , Poincar6-type inequality
中文摘要：

考虑Z＋∶={0,1,2,…}上0与∞均为Dirichlet边界暂留生灭过程的第一特征值λ0.通过适当的h-变换,结合0为Dirichlet边界常返生灭过程的第一特征值现有结果,得到λ0的精细估计,并利用h-变换给出上述特征值λ0对应Poincaré型不等式最优常数的估计.

英文摘要：

Consider the first eigenvalue λ0 of transient birth-death processes on Z＋：= 0,1,2,with Dirichlet boundary at O and ∞. By adopting the proper h-transformation and making full use of existing results for ergodic birth-death processes with Dirichlet boundary at O, obtain explicit estimates for λ0 - Furthermore, the h-transformation applies to study the associated Poincare-type inequalities.

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期刊信息
  • 《福建师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:福建师范大学
  • 主办单位:福建师范大学
  • 主编：余望
  • 地址：福州市福建师范大学旗山校区
  • 邮编：350117
  • 邮箱：linmin@fjnu.edu.cn
  • 电话：0591-22867857
  • 国际标准刊号：ISSN：1000-5277
  • 国内统一刊号：ISSN：35-1074/N
  • 邮发代号:34-43
  • 获奖情况:
  • 福建省优秀科技期刊,全国优秀高校自然科学学报,华东地区优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,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）
  • 被引量:7294