Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

被引：0
作者：
Jian Wang
机构：
[1] Fujian Normal University,School of Mathematics and Computer Science
来源：
Frontiers of Mathematics in China | 2009年 / 4卷
关键词：
Strong ergodicity; logarithmic Sobolev inequality; birth death processes; 60J25; 60J27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give two examples to show that the strong ergodicity and the logarithmic Sobolev inequality are incomparable for ergodic birth-death processes.
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收藏
页码：721 / 726
页数：5
相关论文
共 4 条
  • [1] Mao Y. H.(2002)The logarithmic Sobolev inequalities for birth-death process and diffusion process on the line Chin J Appl Prob Statis 18 94-100
  • [2] Mao Y. H.(2002)Strong ergodicity for Markov processes by coupling methods J Appl Prob 39 839-852
  • [3] Miclo L.(1999)An example of application of discrete Hardy’s inequalities Markov Processes Relat Fields 5 319-330
  • [4] Zhang Y. H.(2001)Strong ergodicity for continuous-time Markov chains J Appl Prob 38 270-277
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