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Spectral Gap and Convergence Rate for Discrete-time Markov Chains被引量：4
《Acta Mathematica Sinica,English Series》2013年第10期1949-1962,共14页Yong Hua MAO Yan Hong SONG 
Supported in part by 985 Project,973 Project(Grant No.2011CB808000);National Natural Science Foundation of China(Grant No.11131003);Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20100003110005);the Fundamental Research Funds for the Central Universities
Abstract Let P be a transition matrix which is symmetric with respect to a measure π. The spectral gap of P in L2（π）-space, denoted by gap（P）, is defined as the distance between 1 and the rest of the spectrum of...
关键词：Spectral gap convergence rate geometric ergodicity TRANSIENCE strong ergodicity uni-form decay 
The Weighted Transience and Recurrence of Markov Processes
《Acta Mathematica Sinica,English Series》2007年第1期111-126,共16页Min Zhi ZHAO Hui Zeng ZHANG 
Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and characterize them by pot...
关键词：ω-recurrence ω-transience last exit time right process 
α-Transience and α-Recurrence of Right Processes
《Acta Mathematica Sinica,English Series》2006年第5期1413-1424,共12页Min Zhi ZHAO Jian Gang YING 
Research supported in part by NSFC 10271109
In this article, we mainly discuss some potential theory in the framework of right Markov processes. We introduce the concept of α-excessive function, α-recurrence and α-transience for right processes with α ≤ 0,...
关键词：α-transience α-recurrence Right process α-excessive function 
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