摘要
本文得到了生灭过程和一维扩散过程满足Nash不等式的判别准则,并证明 了对此二类过程,非常返性蕴含相应半群如下收敛速度||P(t)||1→∞≤Ct-1.同时也给 出一般马氏链满足Nash不等式的充分条件.
In this paper, we give characterizations of Nash inequalities for birth-death process and diffusion process on the line. We prove that for these processes, transience implies that the semigroups P(t) decay as ||P(t)||1→∞≤Ct-1. Sufficient conditions for general Markov chains are also obtained.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第6期1231-1236,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目
