期刊文献+

Estimate of Exponential Convergence Rate in Total Variation by Spectral Gap 被引量:4

Estimate of Exponential Convergence Rate in Total Variation by Spectral Gap
原文传递
导出
摘要 This note is devoted to study the exponential convergence rate in the total variation for reversible Markov processes by comparing it with the spectral gap. It is proved that in a quite general setup, with a suitable restriction on the initial distributions, the rate is bounded from below by the spectral gap. Furthemore, in the compact case or for birth-death processes or half-line diffosions, the rate is shown to be equal to the spectral gap. This note is devoted to study the exponential convergence rate in the total variation for reversible Markov processes by comparing it with the spectral gap. It is proved that in a quite general setup, with a suitable restriction on the initial distributions, the rate is bounded from below by the spectral gap. Furthemore, in the compact case or for birth-death processes or half-line diffosions, the rate is shown to be equal to the spectral gap.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1998年第1期9-16,共8页 数学学报(英文版)
基金 Research supported in part by NSFC, Qiu Shi Sci. & Tech. Found. DPFIHE, MCSEC and Univ. of Rome I, Italy
关键词 Total variation Spectral gap Markov processes Total variation Spectral gap Markov processes
  • 相关文献

同被引文献7

引证文献4

二级引证文献17

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部